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Number of items at this level: 551.

2021

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Pötzl, Bastian ; Schiela, Anton ; Jaap, Patrick:
Second order semi-smooth proximal Newton methods in Hilbert spaces.
Bayreuth , 2021 . - 28 p.

Baumann, Michael Heinrich ; Janischewski, Anja:
Price bubble definitions and strict local martingales.
2021
Event: Maths in the Social Sciences Research Group , 19. März 2021 , Online.
(Conference item: Lecture series , Speech )

Grüne, Lars ; Guglielmi, Roberto:
On the relation between turnpike properties and dissipativity for continuous time linear quadratic optimal control problems.
In: Mathematical Control and Related Fields. Vol. 11 (March 2021) Issue 1 . - pp. 169-188.
DOI: https://doi.org/10.3934/mcrf.2020032

Grüne, Lars ; Mechelli, Luca ; Pirkelmann, Simon ; Volkwein, Stefan:
Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations.
In: Mathematical Control and Related Fields. (March 2021) . - pp. 1-21.
DOI: https://doi.org/10.3934/mcrf.2021013

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Grüne, Lars:
Dissipativity and optimal control.
Bayreuth , 2021 . - 22 pages

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Wu, Chengshuai ; Grüne, Lars ; Kriecherbauer, Thomas ; Margaliot, Michael:
Behavior of totally positive differential systems near a periodic solution.
Bayreuth ; Tel Aviv , 2021 . - 6 pages

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Grüne, Lars ; Kriecherbauer, Thomas ; Margaliot, Michael:
Random attraction in the TASEP model.
In: SIAM Journal on Applied Dynamical Systems. Vol. 20 (January 2021) Issue 1 . - pp. 65-93.
DOI: https://doi.org/10.1137/20M131446X
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Fleig, Arthur ; Grüne, Lars:
Strict dissipativity analysis for classes of optimal control problems involving probability density functions.
In: Mathematical Control and Related Fields. (January 2021) . - pp. 1-30.
DOI: https://doi.org/10.3934/mcrf.2020053

2020

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Grüne, Lars:
Computing Lyapunov functions using deep neural networks.
In: Journal of Computational Dynamics. (27 November 2020) . - 22 pages.
DOI: https://doi.org/10.3934/jcd.2021006

Baumann, Michael Heinrich ; Baumann, Michaela ; Grüne, Lars ; Herz, Bernhard:
Improving Heterogeneous Agent Models by Avoiding Explicit Discretizations of Stiff Equations.
2020
Event: 8th UECE Conference on Economic and Financial Adjustments , 27. November 2020 , Online / Lisbon, Portugal.
(Conference item: Conference , Speech )

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Baumann, Michael Heinrich ; Baumann, Michaela ; Grüne, Lars ; Herz, Bernhard:
Improving Heterogeneous Agent Models by Avoiding Explicit Discretizations of Stiff Equations.
2020
Event: FAST (Finance & Stochastic) Research Seminar, University of Sussex , 11. November 2020 , Online / Brighton, Sussex, UK.
(Conference item: Lecture series , Speech )

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Grüne, Lars ; Müller, Matthias A. ; Kellett, Christopher M. ; Weller, Steven R.:
Strict dissipativity for discrete time discounted optimal control problems.
In: Mathematical Control and Related Fields. Vol. Online First (November 2020) . - pp. 1-26.
DOI: https://doi.org/10.3934/mcrf.2020046

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Njoroge, Parmenas ; Baumann, Michael Heinrich ; Baumann, Michaela ; Shevchenko, Dmitry:
Stock Price Reactions to Publications of Financial Statements : Evidence from the Moscow Stock Exchange.
Bayreuth (Germany); Rostov-on-Don (Russian Federation) , 2020 . - 22 p.
DOI: https://doi.org/10.15495/EPub_UBT_00005137

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Ou, Ruchuan ; Baumann, Michael Heinrich ; Grüne, Lars ; Faulwasser, Timm:
A Simulation Study on Turnpikes in Stochastic LQ Optimal Control.
Cornell : arXiv, 2020 . - 6 p.

Riedl, Wolfgang ; Baier, Robert ; Gerdts, Matthias:
Optimization-based subdivision algorithm for reachable sets.
In: Journal of Computational Dynamics. (20 October 2020) . - pp. 1-32.
DOI: https://doi.org/10.3934/jcd.2021005

Baumann, Michael Heinrich ; Baumann, Michaela ; Grüne, Lars ; Herz, Bernhard:
Improving Heterogeneous Agent Models by Avoiding Explicit Discretizations of Stiff Equations.
2020
Event: GENED Mini Workshop on Agent Based Modelling and New Economic Dynamics , 5. Oktober 2020 , Online.
(Conference item: Workshop , Speech )

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Coron, Jean-Michel ; Grüne, Lars ; Worthmann, Karl:
Model predictive control, cost controllability, and homogeneity.
In: SIAM Journal on Control and Optimization. Vol. 58 (October 2020) Issue 5 . - pp. 2979-2996.
DOI: https://doi.org/10.1137/19M1265995

Baier, Robert ; Eichfelder, Gabriele ; Gerlach, Tobias:
Optimality conditions for set optimization using a directional derivative based on generalized Steiner sets.
In: Optimization. (14 September 2020) . - pp. 1-42.
DOI: https://doi.org/10.1080/02331934.2020.1812605

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Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs.
Bayreuth , 2020 . - 29 p.

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Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Efficient MPC for parabolic PDEs with goal oriented error estimation.
Bayreuth , 2020 . - 26 p.

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Baumann, Michael Heinrich:
Das Geld liegt auf der Straße.
Bayreuth , 2020 . - 3 p.
DOI: https://doi.org/10.15495/EPub_UBT_00005138

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Pirkelmann, Simon:
Economic Model Predictive Control and Time-Varying Systems.
Bayreuth , 2020 . - VII, 146 p.
( Doctoral thesis, 2020 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
DOI: https://doi.org/10.15495/EPub_UBT_00004905

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Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Exponential sensitivity and turnpike analysis for linear quadratic optimal control of general evolution equations.
In: Journal of Differential Equations. Vol. 268 (5 June 2020) Issue 12 . - pp. 7311-7341.
DOI: https://doi.org/10.1016/j.jde.2019.11.064

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Faulwasser, Timm ; Grüne, Lars ; Humaloja, Jukka-Pekka ; Schaller, Manuel:
The interval turnpike property for adjoints.
Department of Mathematics, University of Bayreuth
Bayreuth , 2020 . - 22 p.

Banholzer, Stefan ; Fabrini, Giulia ; Grüne, Lars ; Volkwein, Stefan:
Multiobjective model predictive control of a parabolic advection-diffusion-reaction equation.
In: Mathematics. Vol. 8 (12 May 2020) Issue 5 . - 19 S..
DOI: https://doi.org/10.3390/math8050777

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Baumann, Michael Heinrich ; Baumann, Michaela ; Grüne, Lars ; Herz, Bernhard:
Improving Heterogeneous Agent Models by Avoiding Explicit Discretizations of Stiff Equations.
Bayreuth , 2020 . - 38 p.
DOI: https://doi.org/10.15495/EPub_UBT_00004718

Noroozi, Navid ; Geiselhart, Roman ; Grüne, Lars ; Wirth, Fabian R.:
Control of discrete-time nonlinear systems via finite-step control Lyapunov functions.
In: Systems & Control Letters. Vol. 138 (April 2020) . - Art. Nr. 104631.
DOI: https://doi.org/10.1016/j.sysconle.2020.104631

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Fischer, Florian ; Fleig, Arthur ; Klar, Markus ; Grüne, Lars ; Müller, Jörg:
An Optimal Control Model of Mouse Pointing Using the LQR.
Bayreuth , 2020

Siegl, Alexander:
Iterative Löser zur Schrittberechnung in einer Composite-Step Methode.
Bayreuth , 2020 . - ii, 64 p.
(Master's, 2020 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Mathematisches Institut)

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Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Exponential sensitivity analysis for Model Predictive Control of PDEs.
Department of Mathematics, University of Bayreuth
Bayreuth , 2020 . - 4 p.

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Andrej, Julian ; Grüne, Lars ; Mechelli, Luca ; Meurer, Thomas ; Pirkelmann, Simon ; Volkwein, Stefan:
Parallelized POD-based Suboptimal Economic Model Predictive Control of a State-Constrained Boussinesq approximation.
Bayreuth ; Kiel ; Konstanz , 2020 . - 26 p.

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Grüne, Lars:
Why does strict dissipativity help in model predictive control?
Department of Mathematics, University of Bayreuth
Bayreuth , 2020 . - 4 p.

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Baumann, Michael Heinrich ; Baumann, Michaela ; Herz, Bernhard:
Are ETFs Bad for Financial Health?
In: Chodnicka-Jaworska, Patrycja (ed.): 18th RSEP International Economics, Finance & Business Conference : Conference Proceedings. - Ankara : BC Publishing, 2020 . - pp. 10-18

Xausa, Ilaria ; Baier, Robert ; Bokanowski, Olivier ; Gerdts, Matthias:
Computation of avoidance regions for driver assistance systems by using a Hamilton-Jacobi approach.
In: Optimal Control Applications and Methods. Vol. 41 (2020) Issue 2 . - pp. 668-689.
DOI: https://doi.org/10.1002/oca.2565
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Grüne, Lars ; Junge, Oliver:
From Bellman to Dijkstra : Set oriented construction of globally optimal controllers.
In: Junge, Oliver ; Schütze, Oliver ; Froyland, Gary ; Ober-Blöbaum, Sina ; Padberg-Gehle, Kathrin (ed.): Advances in dynamics, optimization and computation : a volume dedicated to Michael Dellnitz on the occasion of his 60th birthday. - Cham : Springer, 2020 . - pp. 265-294 . - (Studies in Systems, Decision and Control ; 304 )
DOI: https://doi.org/10.1007/978-3-030-51264-4_11

Grüne, Lars:
Numerical methods for nonlinear optimal control problems, 2nd edition.
In: Samad, Tariq ; Baillieul, John (ed.): Encyclopedia of Systems and Control. - London : Springer, 2020
DOI: https://doi.org/10.1007/978-1-4471-5102-9_208-3

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Stöcklein, Matthias:
Optimal Control of Static Contact in Finite Strain Elasticity.
Bayreuth , 2020 . - X, 169 p.
( Doctoral thesis, 2020 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
DOI: https://doi.org/10.15495/EPub_UBT_00005203

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Borzì, Alfio ; Grüne, Lars:
Towards a solution of mean-field control problems using model predictive control.
In: IFAC-PapersOnLine. Vol. 53 (2020) Issue 2 . - pp. 4973-4978.
DOI: https://doi.org/10.1016/j.ifacol.2020.12.1086

Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R. ; Worthmann, Karl:
Towards price-based predictive control of a small scale electricity network.
In: International Journal of Control. Vol. 93 (2020) Issue 1 . - pp. 40-61.
DOI: https://doi.org/10.1080/00207179.2017.1339329

2019

Tanwani, Aneel ; Chatterjee, Debasish ; Grüne, Lars:
Performance bounds for stochastic receding horizon control with randomly sampled measurements.
In: Proceedings of the 2019 IEEE Conference on Decision and Control (CDC). - Nice, France , 2019 . - pp. 2330-2335
DOI: https://doi.org/10.1109/CDC40024.2019.9029947

Baumann, Michael Heinrich ; Baumann, Michaela ; Grüne, Lars ; Herz, Bernhard:
On Modeling Heterogeneous Agents Avoiding Stiff Equations.
2019
Event: 43rd Annual Meeting of the AMASES Association for Mathematics Applied to Social and Economic Sciences , September 9-11, 2019 , Perugia, Italy.
(Conference item: Conference , Speech )

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Schiela, Anton ; Stöcklein, Matthias:
Algorithms for Optimal Control of Elastic Contact Problems with Finite Strain.
University Bayreuth , 2019 . - 21 p.

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Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Sensitivity Analysis of Optimal Control for a Class of Parabolic PDEs Motivated by Model Predictive Control.
In: SIAM Journal on Control and Optimization. Vol. 57 (6 August 2019) Issue 4 . - pp. 2753-2774.
DOI: https://doi.org/10.1137/18M1223083

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Baumann, Michael Heinrich ; Baumann, Michaela ; Grüne, Lars ; Herz, Bernhard:
Analyzing Heterogeneous Agents Models: Avoiding the Explicit Discretization of Stiff Equations.
2019
Event: Graduiertenseminar der VWL-Lehrstühle der Universität Bayreuth , 11./12.07.2019 , Bayreuth.
(Conference item: Other Event type, Speech )

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Baumann, Michael Heinrich ; Baumann, Michaela ; Grüne, Lars ; Herz, Bernhard:
Analyzing Heterogeneous Agents Models: Avoiding the Explicit Discretization of Stiff Equations.
2019
Event: Second Behavioral Macroeconomics Workshop: Heterogeneity and Expectations in Macroeconomics and Finance , June 13-15, 2019 , Otto-Friedrich-Universität Bamberg.
(Conference item: Workshop , Speech )

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Yegorov, Ivan ; Dower, Peter M. ; Grüne, Lars:
Synthesis of control Lyapunov functions and stabilizing feedback strategies using exit-time optimal control.
Bayreuth , 2019 . - 47 p.

Njoroge, Parmenas Kim ; Shevchenko, Dmitry ; Baumann, Michael Heinrich:
Stock Price Reactions to Publications of Financial Statements : Evidence from the Moscow Stock Exchange.
2019
Event: 5th International Conference on Applied Theory, Macro and Empirical Finance (AMEF 2019) , April 22-33, 2019 , University of Macedonia, Thessaloniki, Greece.
(Conference item: Conference , Speech )

Höger, Matthias ; Grüne, Lars:
On the relation between detectability and strict dissipativity for nonlinear discrete time systems.
In: IEEE Control Systems Letters. Vol. 3 (April 2019) Issue 2 . - pp. 458-462. - 6 S..
DOI: https://doi.org/10.1109/LCSYS.2019.2899241

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Baumann, Michael Heinrich ; Baumann, Michaela ; Grüne, Lars ; Herz, Bernhard:
Analyzing Heterogeneous Agents Models Avoiding the Explicit Discretization of Stiff Equations (Enlarged Abstract).
Universität Bayreuth
Bayreuth , 2019 . - 8 p.
DOI: https://doi.org/10.15495/EPub_UBT_00004307

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Ortiz, Julián ; Schiela, Anton:
A composite step method for equality constrained optimization on manifolds.
Bayreuth , 2019 . - 27 p.

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Schiela, Anton ; Ortiz, Julián:
Second order directional shape derivatives.
Bayreuth , 2019 . - 25 p.

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Pirkelmann, Simon ; Angeli, David ; Grüne, Lars:
Approximate computation of storage functions for discrete-time systems using sum-of-squares techniques.
In: IFAC-PapersOnLine. Vol. 52 (2019) Issue 16 . - pp. 508-513.
DOI: https://doi.org/10.1016/j.ifacol.2019.12.012

Baier, Robert ; Le, Thuy Thi Thien:
Construction of the Minimum Time Function for Linear Systems Via Higher-Order Set-Valued Methods.
In: Mathematical Control and Related Fields. Vol. 9 (2019) Issue 2 . - pp. 223-255.
DOI: https://doi.org/10.3934/mcrf.2019012
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Grüne, Lars ; Pirkelmann, Simon:
Economic Model Predictive Control for Time-Varying System : Performance and Stability Results.
In: Optimal Control Applications and Methods. Vol. 41 (2019) Issue 1 . - pp. 42-64.
DOI: https://doi.org/10.1002/oca.2492

Kellett, Christopher M. ; Weller, Steven R. ; Faulwasser, Timm ; Grüne, Lars ; Semmler, Willi:
Feedback, dynamics, and optimal control in climate economics.
In: Annual Reviews in Control. Vol. 47 (2019) . - pp. 7-20.
DOI: https://doi.org/10.1016/j.arcontrol.2019.04.003

Hans, Christian A. ; Braun, Philipp ; Raisch, Jörg ; Grüne, Lars ; Reincke-Collon, Carsten:
Hierarchical distributed model predictive control of interconnected microgrids.
In: IEEE Transactions on Sustainable Energy. Vol. 10 (2019) Issue 1 . - pp. 407-416.
DOI: https://doi.org/10.1109/TSTE.2018.2802922

Baumann, Michael Heinrich ; Baumann, Michaela ; Erler, Alexander:
Limitations of stabilizing effects of fundamentalists : facing positive feedback traders.
In: Economics : the Open-Access, Open-Assessment E-Journal. Vol. 44 (2019) Issue 13 .
DOI: https://doi.org/10.5018/economics-ejournal.ja.2019-44

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Grüne, Lars ; Stieler, Marleen:
Multiobjective Model Predictive Control for Stabilizing Cost Criteria.
In: Discrete and Continuous Dynamical Systems. Series B. Vol. 24 (2019) Issue 8 . - pp. 3905-3928.
DOI: https://doi.org/10.3934/dcdsb.2018336

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Baier, Robert ; Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M.:
Numerical Calculation of Nonsmooth Control Lyapunov Functions via Piecewise Affine Approximation.
In: IFAC-PapersOnLine. Vol. 52 (2019) Issue 16 . - pp. 370-375.
DOI: https://doi.org/10.1016/j.ifacol.2019.11.808

Grüne, Lars ; Pirkelmann, Simon:
Numerical Verification of Turnpike and Continuity Properties for Time-Varying PDEs.
In: IFAC-PapersOnLine. Vol. 52 (2019) Issue 2 . - pp. 7-12.
DOI: https://doi.org/10.1016/j.ifacol.2019.08.002

Fleig, Arthur ; Grüne, Lars:
On Dissipativity of the Fokker-Planck Equation for the Ornstein-Uhlenbeck Process.
In: IFAC-PapersOnLine. Vol. 52 (2019) Issue 2 . - pp. 13-18.
DOI: https://doi.org/10.1016/j.ifacol.2019.08.003

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Baumann, Michael Heinrich ; Grüne, Lars:
Positive Expected Feedback Trading Gain for all Essentially Linearly Representable Prices.
In: 2019 12th Asian Control Conference (ASCC). - Piscataway, NJ : IEEE, 2019 . - pp. 150-155

2018

Stieler, Marleen ; Baumann, Michael Heinrich ; Grüne, Lars:
Noncooperative Model Predictive Control for Affine-Quadratic Games.
In: Proceedings in Applied Mathematics and Mechanics. Vol. 18 (14 December 2018) Issue 1 . - pp. 1-2.
DOI: https://doi.org/10.1002/pamm.201800036

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Baumann, Michael Heinrich:
Die k-dimensionale Champagnerpyramide.
In: Mathematische Semesterberichte. Vol. Online first (12 December 2018) . - pp. 1-12.
DOI: https://doi.org/10.1007/s00591-018-00236-x

Baumann, Michael Heinrich:
Beating the Market? : A Mathematical Puzzle to Market Efficiency.
2018
Event: Forschungsseminar am Lehrstuhl für Finanzierung und Banken der Martin-Luther-Universität Halle-Wittenberg , 6. November 2018 , Halle, Deutschland.
(Conference item: Lecture series , Speech )

Baumann, Michael Heinrich ; Baumann, Michaela ; Herz, Bernhard:
Exchange-traded Funds, Investment Strategies, and Financial Stability.
2018
Event: Forschungsseminar am Lehrstuhl Finanzierung und Banken der Martin-Luther-Universität Halle-Wittenberg , 6. November 2018 , Halle, Deutschland.
(Conference item: Lecture series , Speech )

Braun, Philipp ; Grüne, Lars:
Verteilte Optimierung : Anwendungen in der Modellprädiktiven Regelung.
In: Automatisierungstechnik. Vol. 66 (November 2018) Issue 11 . - pp. 939-949.
DOI: https://doi.org/10.1515/auto-2018-0009

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Baumann, Michael Heinrich:
Performance and Effects of Linear Feedback Stock Trading Strategies.
Bayreuth , 2018 . - 160 p.
( Doctoral thesis, 2018 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

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Baumann, Michael Heinrich:
Beating the Market?
Universität Bayreuth
Bayreuth , 2018 . - 61 p.

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Schaller, Manuel ; Schiela, Anton ; Stöcklein, Matthias:
A Composite Step Method with Inexact Step Computations for PDE Constrained Optimization.
Bayreuth , 2018 . - 29 p.

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Deutschen, Thomas ; Gasser, Sophie ; Schaller, Manuel ; Siehr, Jochen:
Modeling the self-discharge by voltage decay of a NMC/graphite lithium-ion cell.
In: Journal of Energy Storage. Vol. 19 (October 2018) . - pp. 113-119.
DOI: https://doi.org/10.1016/j.est.2018.07.003

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Schiela, Anton ; Stöcklein, Matthias:
Optimal Control of Static Contact in Finite Strain Elasticity.
Bayreuth , 2018 . - 28 p.

Fleig, Arthur ; Grüne, Lars:
L²-Tracking of Gaussian Distributions via Model Predictive Control for the Fokker-Planck Equation.
In: Vietnam Journal of Mathematics. Vol. 46 (15 September 2018) Issue 4 . - pp. 915-948.
DOI: https://doi.org/10.1007/s10013-018-0309-8

Baumann, Michael Heinrich ; Stieler, Marleen:
Noncooperative Model Predictive Control.
2018
Event: International Conference on Optimization and Decision Science ODS 2018 : XLVIII Annual Meeting of AIRO-Italian Operations Research Society , 10.-13. September 2018 , Taormina, Italien.
(Conference item: Conference , Speech )

Baumann, Michael Heinrich ; Baumann, Michaela ; Herz, Bernhard:
Exchange-traded Funds, Investment Strategies, and Financial Stability.
2018
Event: The 50th Annual Conference of the Money, Macro & Finance Research Group (MMF) , 05.-07. September 2018 , Edinburgh, Scotland, UK.
(Conference item: Conference , Poster )

Baumann, Michael Heinrich ; Baumann, Michaela ; Herz, Bernhard:
Exchange-traded Funds, Investment Strategies, and Financial Stability.
2018
Event: Digitale Wirtschaft : Jahrestagung 2018 des Vereins für Socialpolitik , 02.-05. September 2018 , Freiburg im Breisgau.
(Conference item: Conference , Speech )

Baumann, Michael Heinrich ; Stieler, Marleen:
Noncooperative Model Predictive Control.
2018
Event: 18th International Symposium on Dynamic Games and Applications , 9.-12. Juli 2018 , Grenoble, France.
(Conference item: Conference , Speech )

Baumann, Michael Heinrich:
Beating the Market? : A Mathematical Puzzle to Market Efficiency.
2018
Event: 6th International PhD Meeting in Economics 2018 , 5.-6. Juli 2018 , University of Macedonia, Thessaloniki, Greece.
(Conference item: Conference , Speech )

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Yegorov, Ivan ; Dower, Peter ; Grüne, Lars:
A characteristics based curse-of-dimensionality-free approach for approximating control Lyapunov functions and feedback stabilization.
In: Proceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems. - Hong Kong , 2018 . - pp. 342-349

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Grüne, Lars ; Dower, Peter:
Hamiltonian based a posteriori error estimation for Hamilton-Jacobi-Bellman equations.
In: Proceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems. - Hong Kong , 2018 . - pp. 372-374

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Grüne, Lars ; Schaller, Manuel ; Schiela, Anton:
Sensitivity analysis of optimal control motivated by model predictive control.
In: Proceedings of the 23rd International Symposium on Mathematical Theory of Networks and Systems. - Hong Kong , 2018 . - pp. 93-96

Baumann, Michael Heinrich:
Beating the Market? : A Mathematical Puzzle to Market Efficiency.
2018
Event: Seventeenth Annual European Economics and Finance Society Conference (EEFS2018) , 21.-24. Juni 2018 , Department of Economics, City, University of London, London, England.
(Conference item: Conference , Speech )

Baumann, Michael Heinrich ; Baumann, Michaela ; Herz, Bernhard:
Exchange-traded Funds, Investment Strategies, and Financial Stability.
2018
Event: First Behavioral Macroeconomics Workshop: New Approaches to Macro-Financial Instability and Inequality , 15.-16. Juni 2018 , Otto-Friedrich-Universität Bamberg, Germany.
(Conference item: Workshop , Speech )

Kurz, Sascha ; Stoll, Michael ; Worthmann, Karl:
Angewandte Mathematik : ein Lehrbuch für Lehramtsstudierende.
Berlin : Springer , 2018 . - XVIII + 210 p.
DOI: https://doi.org/10.1007/978-3-662-56705-0

Baumann, Michael Heinrich ; Baumann, Michaela ; Herz, Bernhard:
Exchange-traded Funds, Investment Strategies, and Financial Stability.
2018
Event: Seventeenth Annual European Economics and Finance Society Conference (EEFS2018) , 21.-24. Juni 2018 , Department of Economics, City, University of London, London, England.
(Conference item: Conference , Speech )

Baumann, Michael Heinrich:
Beating the Market? : A Mathematical Puzzle to Market Efficiency.
2018
Event: 22nd Annual International Conference on Macroeconomic Analysis and International Finance , 24.-26. Mai 2018 , University of Crete, Rethymno, Greece.
(Conference item: Conference , Speech )

Margaliot, Michael ; Grüne, Lars ; Kriecherbauer, Thomas:
Entrainment in the Master Equation.
In: Royal Society Open Science. Vol. 5 (25 April 2018) . - No. 172157.
DOI: https://doi.org/10.1098/rsos.172157

Baumann, Michael Heinrich:
Basics of Modern Stochastic Finance.
2018
Event: Seminar bei Dmitry Shevchenko , April 2018 , Südliche Föderale Universität, Rostow am Don, Russische Föderation.
(Conference item: Lecture series , Speech )

Baumann, Michael Heinrich:
Beating the Market? : A Mathematical Puzzle to Market Efficiency.
2018
Event: Seminar bei Dmitry Shevchenko , April 2018 , Südliche Föderale Universität, Rostow am Don, Russische Föderation.
(Conference item: Lecture series , Speech )

Baumann, Michael Heinrich ; Baumann, Michaela ; Herz, Bernhard:
Exchange-traded Funds, Investment Strategies, and Financial Stability.
2018
Event: Seminar bei Dmitry Shevchenko , April 2018 , Südliche Föderale Universität, Rostow am Don, Russische Föderation.
(Conference item: Lecture series , Speech )

Stieler, Marleen ; Baumann, Michael Heinrich ; Grüne, Lars:
Noncooperative Model Predictive Control.
2018
Event: 89th GAMM Annual Meeting 2018 , 19. - 23. März 2018 , München.
(Conference item: Conference , Speech )

Baumann, Michael Heinrich:
Beating the Market? : A Mathematical Puzzle to Market Efficiency.
2018
Event: XIX Workshop on Quantitative Finance – QFW2018 , 24.-26.01.2018 , University of Roma Tre.
(Conference item: Workshop , Speech )

Stieler, Marleen ; Baumann, Michael Heinrich ; Grüne, Lars:
Nichtkooperative linear-quadratische Spiele, ihre Beziehung zu Riccati-artigen Gleichungen und ein Lösungsansatz mittels Modellprädiktiver Regelung.
2018
Event: Forschungszentrum Modellierung und Simulation (MODUS) , 24.01.2018 , Bayreuth.
(Conference item: Lecture series , Speech )

Baumann, Michael Heinrich:
Beating the Market? : A Mathematical Puzzle to Market Efficiency.
2018
Event: Graduiertenseminar der VWL-Lehrstühle der Universität Bayreuth , 11.-13.01.2018 , Franken-Akademie Schloß Schney, Lichtenfels.
(Conference item: Workshop , Speech )

Faulwasser, Timm ; Grüne, Lars ; Müller, Matthias A.:
Economic Nonlinear Model Predictive Control.
In: Foundations and Trends® in Systems and Control. Vol. 5 (12 January 2018) Issue 1 . - pp. 1-98.
DOI: https://doi.org/10.1561/2600000014

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Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M.:
Complete Instability of Differential Inclusions using Lyapunov Methods.
In: 2018 IEEE Conference on Decision and Control (CDC). Tagungsband. - Miami Beach, Florida, USA , 2018 . - pp. 718-724
DOI: https://doi.org/10.1109/CDC.2018.8618663

Baier, Robert ; Farkhi, Elza:
Discrete Filippov-type stability for one-sided Lipschitzian difference inclusions.
In: Feichtinger, Gustav ; Kovacevic, Raimund M. ; Tragler, Gernot (ed.): Control Systems and Mathematical Methods in Economics : Essays in Honor of Vladimir M. Veliov. - Cham : Springer, 2018 . - pp. 27-55 . - (Lecture Notes in Economics and Mathematical Systems ; 687 )
DOI: https://doi.org/10.1007/978-3-319-75169-6_3
Review:

Volltext
Braun, Philipp ; Sauerteig, Philipp ; Worthmann, Karl:
Distributed optimization based control on the example of microgrids.
Newcastle, Australia ; Ilmenau, Germany , 2018 . - 28 p.

Grüne, Lars:
Dynamic programming, optimal control and model predictive control.
In: Raković, Saša V. ; Levine, William S. (ed.): Handbook of Model Predictive Control. - Basel : Birkhäuser, 2018 . - pp. 29-52
DOI: https://doi.org/10.1007/978-3-319-77489-3_2

Braun, Philipp ; Faulwasser, Timm ; Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R. ; Worthmann, Karl:
Hierarchical distributed ADMM for predictive control with applications in power networks.
In: IFAC Journal of Systems and Control. Vol. 3 (2018) . - pp. 10-22.
DOI: https://doi.org/10.1016/j.ifacsc.2018.01.001

Noroozi, Navid ; Geiselhart, Roman ; Grüne, Lars ; Rüffer, Björn ; Wirth, Fabian:
Non-conservative discrete-time ISS small-gain conditions for closed sets.
In: IEEE Transactions on Automatic Control. Vol. 63 (2018) Issue 5 . - pp. 1231-1242.
DOI: https://doi.org/10.1109/TAC.2017.2735194

Baier, Robert ; Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M.:
Numerical construction of nonsmooth control Lyapunov functions.
In: Giselsson, Pontus ; Rantzer, Anders (ed.): Large-Scale and Distributed Optimization. - Cham : Springer, 2018 . - pp. 343-373 . - (Lecture Notes in Mathematics ; 2227 )
DOI: https://doi.org/10.1007/978-3-319-97478-1_12
Review:

Volltext
Sproll, Tobias ; Schiela, Anton ; Lowery, Madeleine:
Numerical Identification of Motor Units using an Optimal Control Approach.
In: IFAC-PapersOnLine. Vol. 51 (2018) Issue 2 . - 174 - 179.
DOI: https://doi.org/10.1016/j.ifacol.2018.03.030

Numerical Methods for Optimal Control Problems.
ed.: Falcone, Maurizio ; Ferretti, Roberto ; Grüne, Lars ; McEneaney, William M.
Cham : Springer , 2018 . - X, 268 p. - (Springer INdAM Series ; 29 )
DOI: https://doi.org/10.1007/978-3-030-01959-4

Volltext
Stieler, Marleen:
Performance Estimates for Scalar and Multiobjective Model Predictive Control Schemes.
Bayreuth , 2018 . - X, 119 p.
( Doctoral thesis, 2018 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Gaitsgory, Vladimir ; Grüne, Lars ; Höger, Matthias ; Kellett, Christopher M. ; Weller, Steven R.:
Stabilization of strictly dissipative discrete time systems with discounted optimal control.
In: Automatica. Vol. 93 (2018) . - pp. 311-320.
DOI: https://doi.org/10.1016/j.automatica.2018.03.076

Grüne, Lars ; Pirkelmann, Simon ; Stieler, Marleen:
Strict dissipativity implies turnpike behavior for time-varying discrete time optimal control problems.
In: Feichtinger, Gustav ; Kovacevic, Raimund M. ; Tragler, Gernot (ed.): Control Systems and Mathematical Methods in Economics: Essays in Honor of Vladimir M. Veliov. - Cham : Springer, 2018 . - pp. 195-218 . - (Lecture Notes in Economics and Mathematical Systems ; 687 )
DOI: https://doi.org/10.1007/978-3-319-75169-6_10

Volltext
Grüne, Lars ; Guglielmi, Roberto:
Turnpike properties and strict dissipativity for discrete time linear quadratic optimal control problems.
In: SIAM Journal on Control and Optimization. Vol. 56 (2018) Issue 2 . - pp. 1282-1302.
DOI: https://doi.org/10.1137/17M112350X

Volltext
Braun, Philipp ; Kellett, Christopher M. ; Zaccarian, Luca:
Unsafe Point Avoidance in Linear State Feedback.
Newcastle, Australia , 2018 . - 8 p.

2017

Volltext
Baumann, Michael Heinrich ; Baumann, Michaela ; Herz, Bernhard:
Exchange-traded Funds and Financial Stability.
2017
Event: International Rome Conference on Money, Banking and Finance (MBF) , 14-15-16 December 2017 , LUMSA University Palermo, Italy.
(Conference item: Conference , Speech )

Botner, Meir ; Zarai, Yoram ; Margaliot, Michael ; Grüne, Lars:
On approximating contractive systems.
In: IEEE Transactions on Automatic Control. Vol. 62 (December 2017) Issue 12 . - pp. 6451-6457.
DOI: https://doi.org/10.1109/TAC.2017.2651649

Grüne, Lars ; Stieler, Marleen:
Performance Guarantees for Multiobjective Model Predictive Control.
In: Proceedings of the 2017 IEEE 56th Annual Conference on Decision and Control (CDC). - Melbourne, Australia , 2017 . - pp. 5545-5550
DOI: https://doi.org/10.1109/CDC.2017.8264482

Grüne, Lars ; Le, Thuy Thi Thien:
A double-sided Dynamic Programming approach to the minimum time problem and its numerical approximation.
In: Applied Numerical Mathematics. Vol. 121 (November 2017) . - pp. 68-81.
DOI: https://doi.org/10.1016/j.apnum.2017.06.008

Baumann, Michael Heinrich ; Baumann, Michaela ; Herz, Bernhard:
Exchange-traded Funds and Financial Stability.
2017
Event: German Network for New Economic Dynamics (GENED) , 4.-6. Oktober 2017 , KIT, Karlsruhe.
(Conference item: Conference , Speech )

Baumann, Michael Heinrich ; Baumann, Michaela ; Erler, Alexander:
Limitations of stabilizing effects of fundamentalists facing positive feedback traders.
2017
Event: The 49th Money, Macro and Finance Research Group Annual Conference , 05.-07.09.2017 , King's College, Strand, London, UK.
(Conference item: Conference , Speech )

Fleig, Arthur ; Guglielmi, Roberto:
Optimal Control of the Fokker-Planck Equation with Space-Dependent Controls.
In: Journal of Optimization Theory and Applications. Vol. 174 (August 2017) Issue 2 . - pp. 408-427.
DOI: https://doi.org/10.1007/s10957-017-1120-5

Baumann, Michael Heinrich ; Baumann, Michaela ; Herz, Bernhard:
Exchange-traded Funds and Financial Stability.
2017
Event: Summer School in Economics and Finance SSEF Canazei 2017 , July 17-21, 2017 , Alba di Canazei, Trento, Italy.
(Conference item: Other Event type, Speech )

Baumann, Michael Heinrich ; Baumann, Michaela ; Herz, Bernhard:
Exchange-traded Funds and Financial Stability.
2017
Event: Graduiertenseminar der VWL-Lehrstühle der Universität Bayreuth , 13.-14. Juli 2017 , Bayreuth.
(Conference item: Other Event type, Speech )

Baumann, Michael Heinrich ; Grüne, Lars ; Herz, Bernhard:
Effects of Control-based Trading : Between the Poles of Economics&Finance and Mathematics&Engineering.
2017
Event: Interdisciplinary Symposium - Track "interdisciplinarity in economics" , July 5-7, 2017 , Corté, Università di Corsica, France.
(Conference item: Conference , Speech )

Baumann, Michael Heinrich ; Baumann, Michaela ; Herz, Bernhard:
Exchange-traded Funds and Financial Stability.
2017
Event: The Sixteenth Annual European Economics and Finance Society Conference 2017 , 22.06.2017-25.06.2017 , University of Ljubljana, Ljubljana, Slovenia.
(Conference item: Conference , Speech )

Baumann, Michael Heinrich ; Baumann, Michaela ; Erler, Alexander:
Limitations of Stabilizing Effects of Fundamentalists Facing Positive Feedback Traders.
2017
Event: The Sixteenth Annual European Economics and Finance Society Conference 2017 , 22.06.2017-25.06.2017 , University of Ljubljana, Ljubljana, Slovenia.
(Conference item: Conference , Speech )

Volltext
Baumann, Michael Heinrich ; Baumann, Michaela ; Herz, Bernhard:
Exchange-traded Funds and Financial Stability.
2017
Event: 21st Annual International Conference on Macroeconomic Analysis and International Finance (ICMAIF) 2017 , 25.-27.05.2017 , Rethymno, Crete, Greece.
(Conference item: Conference , Speech )

Volltext
Riedl, Wolfgang ; Baier, Robert ; Gerdts, Matthias:
Analytical and numerical estimates of reachable sets in a subdivision scheme.
Mathematisches Institut, Universität Bayreuth; Institut für Mathematik und Rechneranwendung, Universität der Bundeswehr in Neubiberg/München
Bayreuth, Neubiberg/München , 2017 . - 15 p.
DOI: https://doi.org/10.15495/EPub_UBT_00005055

Volltext
Baumann, Michaela ; Baumann, Michael Heinrich ; Schönig, Stefan ; Jablonski, Stefan:
The Process Checklist : Paper-based Enactment of Human-driven Processes.
In: Enterprise Modelling and Information Systems Architectures. Vol. 12 (28 February 2017) Issue 1 . - pp. 1-42.
DOI: https://doi.org/10.18417/emisa.12.1

Volltext
Baumann, Michael Heinrich ; Grüne, Lars:
Simultaneously long short trading in discrete and continuous time - AudioSlides.

Elsevier AudioSlides , 2017 . - 37 slides, 04:59 min

Baumann, Michael Heinrich ; Baumann, Michaela ; Erler, Alexander:
Limitations of stabilizing effects of fundamentalists facing positive feedback traders.
2017
Event: XVIII Workshop on Quantitative Finance , 25.-27. Januar 2017 , Mailand, Italien.
(Conference item: Workshop , Speech )

Volltext
Christof, Constantin ; Müller, Georg:
A Note on the Equivalence and the Boundary Behavior of a Class of Sobolev Capacities.
Bayreuth , 2017 . - 27 p.

Grüne, Lars ; Pirkelmann, Simon:
Closed-loop performance analysis for economic model predictive control of time-varying systems.
In: Proceedings of the 56th IEEE Annual Conference on Decision and Control (CDC 2017), Melbourne, Australia. - Melbourne , 2017 . - pp. 5563-5569
DOI: https://doi.org/10.1109/CDC.2017.8264485

Zanon, Mario ; Boccia, Andrea ; Palma, Vryan Gil ; Parenti, Sonja ; Xausa, Ilaria:
Direct Optimal Control and Model Predictive Control.
In: Tonon, Daniela ; Aronna, Maria Soledad ; Kalise, Dante (ed.): Optimal Control : Novel Directions and Applications. - Cham, Switzerland : Springer, 2017 . - pp. 263-382 . - (Lecture Notes in Mathematics ; 2180 )
DOI: https://doi.org/10.1007/978-3-319-60771-9_3
Review:

Volltext
Achtziger, Wolfgang ; Baier, Robert ; Farkhi, Elza ; Roshchina, Vera:
Exact Penalty and Lagrange Duality via the Directed Subdifferential.
In: Pure and Applied Functional Analysis. Vol. 2 (2017) Issue 2 . - pp. 183-220.
Review:

Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M.:
Feedback Design Using Nonsmooth Control Lyapunov Functions: A Numerical Case Study for the Nonholonomic Integrator.
In: Proceedings of the 56th IEEE Annual Conference on Decision and Control (CDC 2017), Melbourne, Australia. - Melbourne , 2017 . - pp. 4890-4895
DOI: https://doi.org/10.1109/CDC.2017.8264382

Volltext
Grüne, Lars ; Pannek, Jürgen:
Nonlinear Model Predictive Control : Theory and Algorithms. 2nd Edition.
Cham, Switzerland : Springer , 2017 . - 456 p. - (Communications and Control Engineering )
Review:

DOI: https://doi.org/10.1007/978-3-319-46024-6

Volltext
Braun, Philipp ; Kellett, Christopher M.:
On (the existence of) Control Lyapunov Barrier Functions.
Newcastle, Australia , 2017 . - 19 p.

Müller, Matthias A. ; Grüne, Lars:
On the relation between dissipativity and discounted dissipativity.
In: Proceedings of the 56th IEEE Annual Conference on Decision and Control (CDC 2017), Melbourne, Australia. - Melbourne , 2017 . - pp. 5570-5575
DOI: https://doi.org/10.1109/CDC.2017.8264486

Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R.:
On the relation between turnpike properties for finite and infinite horizon optimal control problems.
In: Journal of Optimization Theory and Applications. Vol. 173 (2017) Issue 3 . - pp. 727-745.
DOI: https://doi.org/10.1007/s10957-017-1103-6

Zanon, Mario ; Grüne, Lars ; Diehl, Moritz:
Periodic optimal control, dissipativity and MPC.
In: IEEE Transactions on Automatic Control. Vol. 62 (2017) Issue 6 . - pp. 2943-2949.
DOI: https://doi.org/10.1109/TAC.2016.2601881

Volltext
Bankau, Marcel ; Baumann, Michaela ; Baumann, Michael Heinrich ; Schönig, Stefan ; Jablonski, Stefan:
The Process Checklist Generator : Establishing Paper-based Process Support.
In: Clarisó, Robert ; Leopold, Henrik ; Mendling, Jan ; van der Aalst, Wil ; Kumar, Akhil ; Pentland, Brian T. ; Weske, Mathias (ed.): Proceedings of the BPM Demo Track and BPM Dissertation Award co-located with 15th International Conference on Business Process Modeling (BPM 2017). - Barcelona , 2017 . - (CEUR Workshop Proceedings ; 1920 )

Baumann, Michael Heinrich ; Grüne, Lars:
Simultaneously long short trading in discrete and continuous time.
In: Systems & Control Letters. Vol. 99 (2017) . - pp. 85-89.
DOI: https://doi.org/10.1016/j.sysconle.2016.11.011

2016

Volltext
Baumann, Michaela ; Baumann, Michael Heinrich ; Ackermann, Lars ; Schönig, Stefan ; Jablonski, Stefan:
Ansätze zum Ähnlichkeitsabgleich von deklarativen Geschäftsprozessmodellen.
In: Mayr, Heinrich C. ; Pinzger, Martin (ed.): INFORMATIK 2016. - Bonn : Köllen, 2016 . - pp. 733-738 . - (Proceedings / GI-Edition ; 259 )

Volltext
Baumann, Michaela ; Baumann, Michael Heinrich ; Jablonski, Stefan:
On Behavioral Process Model Similarity Matching : A centroid-based approach (Enlarged Abstract of [BBJ15]).
In: Mayr, Heinrich C. ; Pinzger, Martin (ed.): INFORMATIK 2016. - Bonn : Köllen, 2016 . - pp. 731-732 . - (Proceedings / GI-Edition ; 259 )

Baumann, Michael Heinrich:
On Stock Trading Via Feedback Control When Underlying Stock Returns Are Discontinuous.
In: IEEE Transactions on Automatic Control. Vol. PP (2 September 2016) Issue 99 . - pp. 1-6.
DOI: https://doi.org/10.1109/TAC.2016.2605743

Volltext
Braun, Philipp:
Hierarchical distributed optimization and predictive control of a smart grid.
Bayreuth , 2016 . - ix+162 p.
( Doctoral thesis, 2016 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Müller, Matthias A. ; Grüne, Lars:
Economic model predictive control without terminal constraints for optimal periodic behavior.
In: Automatica. Vol. 70 (August 2016) . - pp. 128-139.
DOI: https://doi.org/10.1016/j.automatica.2016.03.024

Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R.:
On a discounted notion of strict dissipativity.
In: IFAC-PapersOnLine. Vol. 49 (August 2016) Issue 18 . - pp. 247-252.
DOI: https://doi.org/10.1016/j.ifacol.2016.10.171

Stöcklein, Matthias:
Optimal Control of Static Contact Problems in Linear Elasticity.
Bayreuth, Germany , 2016 . - 96 p.
(Master's, 2016 , Universität Bayreuth, Department of Mathematics, Faculty of Mathematics, Physics and Computer Science)

Baumann, Michael Heinrich:
Regelungsbasierte Handelsstrategien auf verrauschten Märkten.
2016
Event: Forschungszentrum für die Modellierung und Simulation (MODUS) , 30. Mai 2016 , Bayreuth.
(Conference item: Lecture series , Speech )

Baier, Robert ; Farkhi, Elza ; Roshchina, Vera:
From Quasidifferentiable to Directed Subdifferentiable Functions : Exact Calculus Rules.
In: Journal of Optimization Theory and Applications. Vol. 171 (April 2016) Issue 2 . - pp. 384-401.
DOI: https://doi.org/10.1007/s10957-016-0926-x
Review:

Grüne, Lars:
Approximation properties of receding horizon optimal control.
In: Jahresbericht der Deutschen Mathematiker Vereinigung. Vol. 118 (March 2016) Issue 1 . - pp. 3-37.
DOI: https://doi.org/10.1365/s13291-016-0134-5

Li, Huijuan ; Grüne, Lars:
Computation of Local ISS Lyapunov Functions for Discrete-time Systems Via Linear Programming.
In: Journal of Mathematical Analysis and Applications. Vol. 438 (March 2016) Issue 2 . - pp. 701-719.
DOI: https://doi.org/10.1016/j.jmaa.2016.01.045

Volltext
Grüne, Lars ; Müller, Matthias A.:
On the relation between strict dissipativity and turnpike properties.
In: Systems & Control Letters. Vol. 90 (February 2016) . - pp. 45-53.
DOI: https://doi.org/10.1016/j.sysconle.2016.01.003

Baumann, Michael Heinrich ; Grüne, Lars:
Positive Expected Feedback Trading Gain for all Essentially Linearly Representable Prices.
2016
Event: The XVII Workshop on Quantitative Finance - Pisa 2016 , 28.-29.01.2016 , Pisa.
(Conference item: Workshop , Speech )

Fleig, Arthur ; Guglielmi, Roberto:
Bilinear Optimal Control of the Fokker-Planck Equation.
Chair of Applied Mathematics, University of Bayreuth; RICAM, Austrian Academy of Sciences (ÖAW)
In: IFAC-PapersOnLine. Vol. 49 (2016) Issue 8 . - pp. 254-259.
DOI: https://doi.org/10.1016/j.ifacol.2016.07.450

Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R. ; Worthmann, Karl:
A distributed optimization algorithm for the predictive control of smart grids.
Department of Mathematics, University of Bayreuth; School of Electrical Engineering and Computer Science, University of Newcastle, Australia; Technische Universität Ilmenau
In: IEEE Transactions on Automatic Control. Vol. 61 (2016) Issue 12 . - pp. 3898-3911.
DOI: https://doi.org/10.1109/TAC.2016.2525808

Volltext
Grüne, Lars ; Junge, Oliver:
Gewöhnliche Differentialgleichungen : eine Einführung aus der Perspektive der dynamischen Systeme. 2. Auflage.
Heidelberg : Springer Spektrum , 2016 . - 249 p. - (Springer Studium Mathematik – Bachelor )
Review:

DOI: https://doi.org/10.1007/978-3-658-10241-8

Volltext
Braun, Philipp ; Faulwasser, Timm ; Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R. ; Worthmann, Karl:
Maximal Islanding Time For Microgrids via Distributed Predictive Control.
In: University of Minnesota (ed.): 22nd International Symposium on Mathematical Theory of Networks and Systems : July 12-15, 2016 (MTNS 2016, Proceedings). - Minneapolis, Minnesota , 2016 . - pp. 652-659

Volltext
Fleig, Arthur ; Grüne, Lars:
Model Predictive Control for the Fokker-Planck equation : analysis and structural insight.
In: University of Minnesota (ed.): 22nd International Symposium on Mathematical Theory of Networks and Systems : July 12-15, 2016 (MTNS 2016, Proceedings). - Minneapolis, Minnesota , 2016 . - pp. 689-690

Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R. ; Worthmann, Karl:
Model predictive control of residential energy systems using energy storage and controllable loads.
In: Russo, Giovanni ; Capasso, Vincenzo ; Nicosia, Giuseppe ; Romano, Vittorio (ed.): Progress in Industrial Mathematics at ECMI 2014. - Heidelberg : Springer, 2016 . - pp. 617-623 . - (Mathematics in Industry ; 22 )
DOI: https://doi.org/10.1007/978-3-319-23413-7_85

Volltext
Sigurani, Manuela:
Numerical ISpS controller design on coarse quantizations : A dynamic game approach for large-scale systems.
Bayreuth , 2016 . - ii+166 p.
( Doctoral thesis, 2016 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Worthmann, Karl ; Braun, Philipp ; Proch, Michael ; Schlüchtermann, Jörg ; Pannek, Jürgen:
On Contractual Periods in Supplier Development.
In: IFAC-PapersOnLine. Vol. 49 (2016) Issue 2 . - pp. 60-65.
DOI: https://doi.org/10.1016/j.ifacol.2016.03.011

Volltext
Müller, Georg ; Schiela, Anton:
On the Control of Time Discretized Dynamical Contact Problems.
Bayreuth , 2016 . - 35 p.

Braun, Philipp ; Hernández, Erwin ; Kalise, Dante:
Reduced-order LQG control of a Timoshenko beam model.
In: Bulletin of the Brazilian Mathematical Society : New Series. Vol. 47 (2016) Issue 1 . - pp. 143-155.
DOI: https://doi.org/10.1007/s00574-016-0128-z

Worthmann, Karl ; Proch, Michael ; Braun, Philipp ; Schlüchtermann, Jörg ; Pannek, Jürgen:
Towards Dynamic Contract Extension in Supplier Development.
In: Logistics Research. Vol. 9 (2016) Issue 1 . - pp. 1-12.
DOI: https://doi.org/10.1007/s12159-016-0141-z

2015

Volltext
Jahn, Thomas U.:
A Feasibility Problem Approach For Reachable Set Approximation.
Bayreuth , 2015 . - III, 134 p.
( Doctoral thesis, 2015 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Volltext
Xausa, Ilaria:
Verification of Collision Avoidance Systems using Optimal Control and Sensitivity Analysis.
Neubiberg : Universitätsbibliothek der Universität der Bundeswehr München , 2015 . - viii+216 p.
( Doctoral thesis, 2015 , Universität der Bundeswehr München, Fakultät für Luft- und Raumfahrttechnik)

Baier, Robert ; Le, Thuy Thi Thien:
Construction of the Minimum Time Function Via Reachable Sets of Linear Control Systems. Part 1: Error Estimates.
University of Bayreuth, Germany; Università di Padova, Italy
Bayreuth ; Padova , 2015 . - 30 p.

Baier, Robert ; Le, Thuy Thi Thien:
Construction of the Minimum Time Function Via Reachable Sets of Linear Control Systems. Part 2: Numerical Computations.
University of Bayreuth, Germany; Università di Padova, Italy
Bayreuth ; Padova , 2015 . - 16 p.

Baumann, Michael Heinrich:
Regelungsbasierte Handelsstrategien auf verrauschten Märkten.
2015
Event: Hanns Seidel Stiftung - Selbstgestaltete Tagung für Promovenden , 11.-13.11.2015 , Bildungszentrum Kloster Banz.
(Conference item: Workshop , Speech )

Volltext
Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R. ; Worthmann, Karl:
A real-time pricing scheme for residential energy systems using a market maker.
In: The Institution of Engineers Australia (ed.): Proceedings of 2015 Australian Control Conference (AUCC). - Barton, Australia , 2015 . - pp. 259-262

Bokanowski, Olivier ; Falcone, Maurizio ; Ferretti, Roberto ; Grüne, Lars ; Kalise, Dante ; Zidani, Hasnaa:
Value iteration convergence of ε-monotone schemes for stationary Hamilton-Jacobi equations.
Department of Mathematics, University of Bayreuth
In: Discrete and Continuous Dynamical Systems. Series A. Vol. 35 (30 September 2015) Issue 9 . - pp. 4041-4070.
DOI: https://doi.org/10.3934/dcds.2015.35.4041

Baumann, Michael Heinrich:
Simultaneously Long Short Trading Strategies When Price is Governed by Merton's Jump Diffusion Process.
2015
Event: Prof. B. Ross Barmish's Skype Seminar , 15.09.2015 , Via Skype among others in Bayreuth, Germany, and Madison, WI, USA.
(Conference item: Lecture series , Speech )

Baumann, Michaela ; Baumann, Michael Heinrich ; Schönig, Stefan ; Jablonski, Stefan:
Resource-Aware Process Model Similarity Matching.
In: Toumani, Farouk (ed.): Service-Oriented Computing - ICSOC 2014 Workshops. - Cham : Springer, 2015 . - pp. 96-107 . - (Lecture Notes in Computer Science ; 8954 )
DOI: https://doi.org/10.1007/978-3-319-22885-3_9

Grüne, Lars ; Palma, Vryan Gil:
Robustness of performance and stability for multistep and updated multistep MPC schemes.
Department of Mathematics, University of Bayreuth
In: Discrete and Continuous Dynamical Systems. Series A. Vol. 35 (September 2015) Issue 9 . - pp. 4385-4414.
DOI: https://doi.org/10.3934/dcds.2015.35.4385

Volltext
Baumann, Michael Heinrich:
Effects of Linear Feedback Trading in an Interactive Market Model.
In: American Automatic Control Council in cooperation with IFAC (ed.): American Control Conference (ACC), 2015. - Chicago : IEEE, 2015 . - pp. 3880-3885
DOI: https://doi.org/10.1109/ACC.2015.7171935

Hafstein, Sigurdur Freyr ; Kellett, Christopher M. ; Li, Huijuan:
Computing continuous and piecewise affine Lyapunov functions for nonlinear systems.
In: Journal of Computational Dynamics. Vol. 2 (June 2015) Issue 2 . - pp. 227-246.
DOI: https://doi.org/10.3934/jcd.2015004

Volltext
Palma, Vryan Gil:
Robust Updated MPC Schemes.
Bayreuth , 2015 . - IX, 119 p.
( Doctoral thesis, 2015 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Volltext
Lubkoll, Lars ; Schiela, Anton ; Weiser, Martin:
An affine covariant composite step method for optimization with PDEs as equality constraints.
Konrad-Zuse-Zentrum für Informationstechnik Berlin
Berlin, Germany , 2015 . - 40 p. - (ZIB-Report ; 15-09 )

Volltext
Baumann, Michael Heinrich:
Portfolioverluste bei plötzlichen Kurssprüngen beim Hedgen von Optionen.
2015
Event: Value Day 2015 -- Wirtschaft trifft Wissenschaft , 12. März 2015 , FH Vorarlberg, Dornbirn, Österreich.
(Conference item: Other Event type, Speech )

Grüne, Lars ; Zidani, Hasnaa:
Zubov's equation for state-constrained perturbed nonlinear systems.
Department of Mathematics, University of Bayreuth
In: Mathematical Control and Related Fields. Vol. 5 (March 2015) Issue 1 . - pp. 55-71.
DOI: https://doi.org/10.3934/mcrf.2015.5.55

Volltext
Li, Huijuan:
Computation of Lyapunov functions and stability of interconnected systems.
Bayreuth , 2015 . - 130 p.
( Doctoral thesis, 2015 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Sigurani, Manuela ; Stöcker, Christian ; Grüne, Lars ; Lunze, Jan:
Experimental evaluation of two complementary decentralized event-based control methods.
Department of Mathematics, University of Bayreuth
In: Control Engineering Practice. Vol. 35 (February 2015) . - pp. 22-34.
DOI: https://doi.org/10.1016/j.conengprac.2014.10.002

Baumann, Michael Heinrich:
Linear Feedback Trading in an Interactive Market Model.
2015
Event: Graduiertenseminar der VWL-Lehrstühle der Universität Bayreuth , 15.-17. Januar 2015 , Muggendorf.
(Conference item: Other Event type, Speech )

Li, Huijuan ; Hafstein, Sigurdur Freyr ; Kellett, Christopher M.:
Computation of continuous and piecewise affine Lyapunov functions for discrete-time systems.
In: Journal of Difference Equations and Applications. (2015) . - pp. 1-24.
DOI: https://doi.org/10.1080/10236198.2015.1025069

Li, Huijuan ; Baier, Robert ; Grüne, Lars ; Hafstein, Sigurdur Freyr ; Wirth, Fabian:
Computation of local ISS Lyapunov functions with low gains via linear programming.
In: Discrete and Continuous Dynamical Systems. Series B. Vol. 20 (2015) Issue 8 . - pp. 2477-2495.
DOI: https://doi.org/10.3934/dcdsb.2015.20.2477
Review:

Volltext
Worthmann, Karl ; Kellett, Christopher M. ; Braun, Philipp ; Grüne, Lars ; Weller, Steven R.:
Distributed and decentralized control of residential energy systems incorporating battery storage.
Department of Mathematics, University of Bayreuth
In: IEEE Transactions on Smart Grid. Vol. 6 (2015) Issue 4 . - pp. 1914-1923.
DOI: https://doi.org/10.1109/TSG.2015.2392081

Müller, Matthias A. ; Grüne, Lars:
Economic model predictive control without terminal constraints : optimal periodic operation.
In: Proceedings of the 54th IEEE Conference on Decision and Control. - Piscataway, NJ : IEEE, 2015 . - pp. 4946-4951
DOI: https://doi.org/10.1109/CDC.2015.7402992

Volltext

Baumann, Michaela:
Nicht-rekombinierbare Binomialbäume und ihre Anwendung in der Finanzmathematik.
2015
Event: Value Day 2015 , 12. März 2015 , FH Vorarlberg, Dornbirn, Österreich.
(Conference item: Other Event type, Speech )

Volltext
Grüne, Lars ; Sigurani, Manuela:
Numerical event-based ISS controller design via a dynamic game approach.
In: Journal of Computational Dynamics. Vol. 2 (2015) Issue 1 . - pp. 65-81.
DOI: https://doi.org/10.3934/jcd.2015.2.65

Grüne, Lars ; Panin, Anastasia:
On non-averaged performance of economic MPC with terminal conditions.
In: Proceedings of the 54th IEEE Conference on Decision and Control (CDC 2015). - Piscataway, NJ : IEEE, 2015 . - pp. 4332-4337
DOI: https://doi.org/10.1109/CDC.2015.7402895

Müller, Matthias A. ; Grüne, Lars ; Allgöwer, Frank:
On the role of dissipativity in economic model predictive control.
Institute for Systems Theory and Automatic Control, University of Stuttgart; Department of Mathematics, University of Bayreuth; Institute for Systems Theory and Automatic Control, University of Stuttgart
In: IFAC-PapersOnLine. (2015) Issue 23 . - pp. 110-116.
DOI: https://doi.org/10.1016/j.ifacol.2015.11.269

Volltext
Grüne, Lars:
Open problem : Strict Dissipativity and the Turnpike Property.
In: Oberwolfach Reports. Vol. 12 (2015) Issue 1 . - pp. 651-652.
DOI: https://doi.org/10.4171/OWR/2015/12

Clason, Christian ; Schiela, Anton:
Optimal control of elliptic equations with positive measures.
Universität Duisburg-Essen; Universität Bayreuth
In: Control, Optimisation and Calculus of Variations. (2015) . - 30 S..
DOI: https://doi.org/10.1051/cocv/2015046

Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R. ; Worthmann, Karl:
Predictive control of a smart grid : a distributed optimization algorithm with centralized performance properties.
In: Proceedings of the 54th IEEE Conference on Decision and Control (CDC 2015). - Piscataway, NJ : IEEE, 2015 . - pp. 5593-5598
DOI: https://doi.org/10.1109/CDC.2015.7403096

Palma, Vryan Gil ; Suardi, Andrea ; Kerrigan, Eric C.:
Sensitivity-based multistep MPC for embedded systems.
Department of Mathematics, University of Bayreuth; Department of Electrical and Electronic Engineering, Imperial College London; Department of Electrical and Electronic Engineering and Department of Aeronautics, Imperial College London
In: IFAC-PapersOnLine. Vol. 48 (2015) Issue 23 . - pp. 360-365.
DOI: https://doi.org/10.1016/j.ifacol.2015.11.306

Gaitsgory, Vladimir ; Grüne, Lars ; Thatcher, Neil:
Stabilization with discounted optimal control.
Department of Mathematics, University of Bayreuth
In: Systems & Control Letters. Vol. 82 (2015) . - pp. 91-98.
DOI: https://doi.org/10.1016/j.sysconle.2015.05.010

Worthmann, Karl ; Reble, Marcus ; Grüne, Lars ; Allgöwer, Frank:
Unconstrained nonlinear MPC : performance estimates for sampled-data systems with zero order hold.
In: Proceedingss of the 54th IEEE Conference on Decision and Control (CDC 2015). - Piscataway, NJ : IEEE, 2015 . - 4971- 4976
DOI: https://doi.org/10.1109/CDC.2015.7402996

Volltext
Grüne, Lars ; Semmler, Willi ; Stieler, Marleen:
Using nonlinear model predictive control for dynamic decision problems in economics.
In: Journal of Economic Dynamics and Control. Vol. 60 (2015) . - pp. 112-133.
DOI: https://doi.org/10.1016/j.jedc.2015.08.010

Volltext
Grüne, Lars ; Picarelli, Athena:
Zubov's method for controlled diffusions with state constraints.
In: Nonlinear Differential Equations and Applications NoDEA. Vol. 22 (2015) Issue 6 . - pp. 1765-1799.
DOI: https://doi.org/10.1007/s00030-015-0343-0

2014

Riedl, Wolfgang:
Optimization-based subdivision algorithm for reachable sets.
In: Proceedings in Applied Mathematics and Mechanics. Vol. 14 (22 December 2014) Issue 1 . - pp. 937-938.
DOI: https://doi.org/10.1002/pamm.201410449

Volltext
Altmüller, Nils:
Model Predictive Control for Partial Differential Equations.
Bayreuth , 2014 . - XIV, 169 p.
( Doctoral thesis, 2014 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Boccia, Andrea ; Grüne, Lars ; Worthmann, Karl:
Stability and feasibility of state constrained MPC without stabilizing terminal constraints.
In: Systems & Control Letters. Vol. 72 (October 2014) . - pp. 14-21.
DOI: https://doi.org/10.1016/j.sysconle.2014.08.002
Review:

Worthmann, Karl ; Kellett, Christopher M. ; Grüne, Lars ; Weller, Steven R.:
Distributed control of residential energy systems using a market maker.
In: Boje,Edward (Hrsg.): Proceedings of the 19th IFAC World Congress : IFAC-PapersOnLine. - Cape Town, South Africa , 2014 . - pp. 11641-11646
DOI: https://doi.org/10.3182/20140824-6-ZA-1003.01785

Volltext
Fleig, Arthur ; Grüne, Lars ; Guglielmi, Roberto:
Some results on Model Predictive Control for the Fokker-Planck equation.
In: MTNS 2014 : 21st International Symposium on Mathematical Theory of Networks and Systems, July 7-11, 2014, Groningen, The Netherlands ; Proceedings. - Groningen, The Netherlands : University of Groningen, 2014 . - pp. 1203-1206

Volltext
Xausa, Ilaria ; Baier, Robert ; Bokanowski, Olivier ; Gerdts, Matthias ; Töpfer, Daniel:
Software for verification of collision avoidance algorithms via optimal control techniques.
2014
Event: Conference on New Trends in Optimal Control (NetCO 2014) , 23.-27. Juni 2014 , Tours, Frankreich.
(Conference item: Conference , Speech )

Volltext
Baier, Robert ; Dellnitz, Michael ; Hessel-von Molo, Mirko ; Kevrekidis, Yannis G. ; Sertl, Stefan:
The computation of convex invariant sets via Newton's method.
In: Journal of Computational Dynamics. Vol. 1 (June 2014) Issue 1 . - pp. 39-69.
DOI: https://doi.org/10.3934/jcd.2014.1.39
Review:

Baumann, Michael Heinrich:
Regelungsbasierte Handelsstrategien in verrauschten Märkten -- Exposee zur Dissertation.
Universität Bayreuth, Mathematisches Institut

Bayreuth , 2014 . - 25 p.

Volltext
Schiela, Anton:
A flexible framework for cubic regularization algorithms for non-convex optimization in function space.
Institut für Mathematik, Technische Universität Hamburg-Harburg
Hamburg-Harburg, Germany , 2014 . - 26 p. - (Bericht / Technische Universität Hamburg-Harburg, Institut für Mathematik ; 183 )

Baumann, Michaela:
Nicht-rekombinierbare Binomialbäume und ihre Anwendung in der Finanzmathematik.
Bayreuth , 2014
(Master's, 2014, Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Angewandte Mathematik)

Volltext
Baumann, Michael Heinrich:
Portfolioverluste bei plötzlichen Kurssprüngen beim Hedgen von Optionen.
Bayreuth , 2014 . - 115 p.
(Master's, 2014 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Mathematik V)

Volltext
Boccia, Andrea ; Grüne, Lars ; Worthmann, Karl:
Stability and feasibility of state-constrained linear MPC without stabilizing terminal constraints.
In: MTNS 2014 : Proceedings on the 21st International Symposium on Mathematical Theory of Networks and Systems, July 7-11, 2014, University of Groningen. - Groningen : University of Groningen, 2014 . - pp. 453-460

Volltext
Grüne, Lars ; Stieler, Marleen:
Asymptotic stability and transient optimality of economic MPC without terminal conditions.
In: Journal of Process Control. Vol. 24 (2014) Issue 8 . - pp. 1187-1196.
DOI: https://doi.org/10.1016/j.jprocont.2014.05.003

Volltext
Björnsson, Jóhann ; Giesl, Peter ; Hafstein, Sigurdur Freyr ; Kellett, Christopher M. ; Li, Huijuan:
Computation of continuous and piecewise affine Lyapunov functions by numerical approximations of the Massera construction.
In: Proceedings of the IEEE 53rd Annual Conference on Decision and Control Held in Los Angeles, California, 2014. - Los Angeles, CA, USA : Institute of Electrical and Electronics Engineers (IEEE), 2014 . - pp. 5506-5511
DOI: https://doi.org/10.1109/CDC.2014.7040250

Volltext
Li, Huijuan ; Baier, Robert ; Grüne, Lars ; Hafstein, Sigurdur Freyr ; Wirth, Fabian:
Computation of local ISS Lyapunov functions via linear programming.
In: MTNS 2014 : Proceedings on the 21st International Symposium on Mathematical Theory of Networks and Systems, July 7--11, 2014, University of Groningen. - Groningen, The Netherlands , 2014 . - pp. 1189-1195

Volltext
Li, Huijuan ; Hafstein, Sigurdur Freyr ; Kellett, Christopher M.:
Computation of Lyapunov functions for discrete-time systems using the Yoshizawa construction.
In: Proceedings of the IEEE 53rd Annual Conference on Decision and Control Held in Los Angeles, California, 2014. - Los Angeles, CA, USA : Institute of Electrical and Electronics Engineers (IEEE), 2014 . - pp. 5512-5517
DOI: https://doi.org/10.1109/CDC.2014.7040251

Grüne, Lars ; Sigurani, Manuela:
Construction of event-based ISS controllers on coarse quantizations.
In: 2014 IEEE 53rd Annual Conference on Decision and Control (CDC 2014). - Piscataway, NJ : IEEE, 2014 . - pp. 836-841
DOI: https://doi.org/10.1109/CDC.2014.7039485

Hafstein, Sigurdur Freyr ; Kellett, Christopher M. ; Li, Huijuan:
Continuous and piecewise affine Lyapunov functions using the Yoshizawa construction.
In: American Control Conference (ACC), 2014. - Portland, OR, USA : IEEE, 2014 . - pp. 548-553
DOI: https://doi.org/10.1109/ACC.2014.6858660

Volltext
Baier, Robert ; Farkhi, Elza ; Roshchina, Vera:
Directed Subdifferentiable Functions and the Directed Subdifferential Without Delta-Convex Structure.
In: Journal of Optimization Theory and Applications. Vol. 160 (2014) Issue 2 . - pp. 391-414.
DOI: https://doi.org/10.1007/s10957-013-0401-x
Review:

Volltext
Grüne, Lars ; Allgöwer, Frank ; Findeisen, Rolf ; Fischer, Jörg ; Groß, Dominic ; Hanebeck, Uwe D. ; Kern, Benjamin ; Müller, Matthias A. ; Pannek, Jürgen ; Reble, Marcus ; Stursberg, Olaf ; Varutti, Paolo ; Worthmann, Karl:
Distributed and networked model predictive control.
In: Lunze, Jan (Hrsg.): Control theory of digitally networked dynamic systems. Chapter 4. - Cham ; Heidelberg ; New York ; Dordrecht ; London : Springer, 2014 . - pp. 111-167
DOI: https://doi.org/10.1007/978-3-319-01131-8_4
Review:

Volltext
Greiner, Alfred ; Grüne, Lars ; Semmler, Willi:
Economic growth and the transition from non-renewable to renewable energy.
In: Environment and Development Economics. Vol. 19 (2014) Issue 4 . - pp. 417-439.
DOI: https://doi.org/10.1017/S1355770X13000491

Volltext
Grüne, Lars ; Hirche, Sandra ; Junge, Oliver ; Koltai, Péter ; Lehmann, Daniel ; Lunze, Jan ; Molin, Adam ; Sailer, Rudolf ; Sigurani, Manuela ; Stöcker, Christian ; Wirth, Fabian:
Event-based control.
In: Lunze, Jan (ed.): Control theory of digitally networked dynamic systems, Chapter 5. - Cham ; Heidelberg ; New York ; Dordrecht ; London : Springer, 2014 . - pp. 169-261
DOI: https://doi.org/10.1007/978-3-319-01131-8_5
Review:

Volltext
Farkhi, Elza ; Donchev, Tzanko D. ; Baier, Robert:
Existence of Solutions for Nonconvex Differential Inclusions of Monotone Type.
In: Comptes Rendus de l'Académie Bulgare des Sciences. Vol. 67 (2014) Issue 3 . - pp. 323-330.
Review:

Damm, Tobias ; Grüne, Lars ; Stieler, Marleen ; Worthmann, Karl:
An exponential turnpike theorem for dissipative discrete time optimal control problems.
In: SIAM Journal on Control and Optimization. Vol. 52 (2014) Issue 3 . - pp. 1935-1957.
DOI: https://doi.org/10.1137/120888934
Review:

Volltext
Lunze, Jan ; Grüne, Lars:
Introduction to networked control systems.
In: Lunze, Jan (Hrsg.): Control theory of digitally networked dynamic systems. Chapter 1. - Cham ; Heidelberg ; New York ; Dordrecht ; London : Springer, 2014 . - pp. 1-30
DOI: https://doi.org/10.1007/978-3-319-01131-8_1
Review:

Grüne, Lars ; Kellett, Christopher M.:
ISS-Lyapunov functions for discontinuous discrete-time systems.
Department of Mathematics, University of Bayreuth
In: IEEE Transactions on Automatic Control. Vol. 59 (2014) Issue 11 . - pp. 3098-3103.
DOI: https://doi.org/10.1109/TAC.2014.2321667

Volltext
Hintermüller, Michael ; Schiela, Anton ; Wollner, Winnifried:
The length of the primal-dual path in Moreau-Yosida-based path-following methods for state constrained optimal control.
In: SIAM Journal on Optimization. Vol. 24 (2014) Issue 1 . - pp. 108-126.
DOI: https://doi.org/10.1137/120866762
Review:

Volltext
Grüne, Lars ; Sigurani, Manuela:
A Lyapunov based nonlinear small-gain theorem for discontinuous discrete-time large-scale systems.
In: MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. - Groningen : University of Groningen, 2014 . - pp. 1031-1037

Volltext
Grüne, Lars ; Stieler, Marleen:
A Lyapunov function for economic MPC without terminal conditions.
In: Proceedings of the IEEE 53rd Annual Conference on Decision and Control Held in Los Angeles, California, 2014. - Los Angeles, CA, USA : Institute of Electrical and Electronics Engineers (IEEE), 2014 . - pp. 2740-2745
DOI: https://doi.org/10.1109/CDC.2014.7039809

Grüne, Lars:
Nominal model predictive control.
In: Samad, Tariq ; Baillieul, John (Hrsg.): Encyclopedia of Systems and Control. - London : Springer, 2014 . - 8 S.
DOI: https://doi.org/10.1007/978-1-4471-5102-9_1-2

Volltext
Baier, Robert ; Hafstein, Sigurdur Freyr:
Numerical computation of control Lyapunov functions in the sense of generalized gradients.
In: MTNS 2014 : 21st International Symposium on Mathematical Theory of Networks and Systems, July 7-11, 2014, Groningen, The Netherlands ; Proceedings. - Groningen : University of Groningen, 2014 . - pp. 1173-1180

Grüne, Lars:
Numerical methods for nonlinear optimal control problems.
In: Samad, Tariq ; Baillieul, John (Hrsg.): Encyclopedia of Systems and Control. - London : Springer, 2014 . - - . - 10 S.
DOI: https://doi.org/10.1007/978-1-4471-5102-9_208-2

Volltext
Grüne, Lars ; Palma, Vryan Gil:
On the benefit of re-optimization in optimal control under perturbations.
In: MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. - Groningen : University of Groningen, 2014 . - pp. 439-446

Volltext
Schiela, Anton ; Ulbrich, Stefan:
Operator preconditioning for a class of inequality constrained optimal control problems.
In: SIAM Journal on Optimization. Vol. 24 (2014) Issue 1 . - pp. 435-466.
DOI: https://doi.org/10.1137/120877532
Review:

Volltext
Lubkoll, Lars ; Schiela, Anton ; Weiser, Martin:
An optimal control problem in polyconvex hyperelasticity.
In: SIAM Journal on Control and Optimization. Vol. 52 (2014) Issue 3 . - pp. 1403-1422.
DOI: https://doi.org/10.1137/120876629
Review:

Volltext
Grüne, Lars ; Zanon, Mario:
Periodic optimal control, dissipativity and MPC.
In: MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. - Groningen : University of Groningen, 2014 . - pp. 1804-1807

Worthmann, Karl ; Reble, Marcus ; Grüne, Lars ; Allgöwer, Frank:
The role of sampling for stability and performance in unconstrained nonlinear model predictive control.
Department of Mathematics, University of Bayreuth
In: SIAM Journal on Control and Optimization. Vol. 52 (2014) Issue 1 . - pp. 581-605.
DOI: https://doi.org/10.1137/12086652X

Volltext
Grüne, Lars ; Kellett, Christopher M.:
Strong implication-form ISS-Lyapunov functions for discontinuous discrete-time systems.
In: MTNS 2014 : Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems. - Groningen : University of Groningen, 2014 . - pp. 1023-1030

Volltext
Sander, Oliver ; Schiela, Anton:
Variational analysis of the coupling between a geometrically exact Cosserat rod and an elastic continuum.
In: Zeitschrift für angewandte Mathematik und Physik. Vol. 65 (2014) Issue 6 . - pp. 1261-1288.
DOI: https://doi.org/10.1007/s00033-013-0389-y
Review:

Damm, Tobias ; Muhirwa, Luc N.:
Zero crossings, overshoot and initial undershoot in the step and impulse responses of linear systems.
In: IEEE Transactions on Automatic Control. Vol. 59 (2014) Issue 7 . - pp. 1925-1929.
DOI: https://doi.org/10.1109/TAC.2013.2294616
Review:

2013

Grüne, Lars ; Sigurani, Manuela:
Numerical ISS controller design via a dynamic game approach.
In: 2013 IEEE 52nd Annual Conference on Decision and Control (CDC 2013). - Piscataway, NJ : IEEE, 2013 . - pp. 1732-1737
DOI: https://doi.org/10.1109/CDC.2013.6760132

Damm, Tobias ; Muhirwa, Luc N.:
On Euclidean Norm Balancing.
In: Proceedings in Applied Mathematics and Mechanics. Vol. 13 (December 2013) Issue 1 . - pp. 487-488.
DOI: https://doi.org/10.1002/pamm.201310236

Baier, Robert ; Gerdts, Matthias ; Xausa, Ilaria:
Approximation of reachable sets using optimal control algorithms.
In: Numerical Algebra, Control and Optimization. Vol. 3 (September 2013) Issue 3 . - pp. 519-548.
DOI: https://doi.org/10.3934/naco.2013.3.519
Review:

Alt, Walter ; Baier, Robert ; Lempio, Frank ; Gerdts, Matthias:
Approximations of linear control problems with bang-bang solutions.
In: Optimization. Vol. 62 (2013) Issue 1 . - pp. 9-32.
DOI: https://doi.org/10.1080/02331934.2011.568619
Review:

Volltext
Gerdts, Matthias ; Xausa, Ilaria:
Avoidance trajectories using reachable sets and parametric sensitivity analysis.
In: Hömberg, Dietmar ; Tröltzsch, Fredi (Hrsg.): System Modeling and Optimization : 25th IFIP TC 7 Conference, CSMO 2011, Berlin, Germany, September 12-16, 2011. Revised Selected Papers. - Berlin–Heidelberg : Springer, 2013 . - pp. 491-500 . - (IFIP Advances in Information and Communication Technology ; 391 )
DOI: https://doi.org/10.1007/978-3-642-36062-6_49
Review:

Altmüller, Nils ; Grüne, Lars:
A comparative stability analysis of Neumann and Dirichlet boundary MPC for the heat equation.
In: IFAC Proceedings Volumes. Vol. 46 (2013) Issue 26 . - pp. 161-166.
DOI: https://doi.org/10.3182/20130925-3-FR-4043.00048

Schiela, Anton ; Wachsmuth, Daniel:
Convergence analysis of smoothing methods for optimal control of stationary variational inequalities with control constraints.
In: ESAIM : Mathematical Modelling and Numerical Analysis. Vol. 47 (2013) Issue 3 . - pp. 771-787.
DOI: https://doi.org/10.1051/m2an/2012049
Review:

Grüne, Lars:
Economic receding horizon control without terminal constraints.
In: Automatica. Vol. 49 (2013) Issue 3 . - pp. 725-734.
DOI: https://doi.org/10.1016/j.automatica.2012.12.003

Volltext
Damm, Tobias:
Euclidean Norm Optimal Realization Revisited.
In: Hüper, Knut ; Trumpf, Jochen (Hrsg.): Mathematical System Theory : Festschrift in Honor of Uwe Helmke on the Occasion of his Sixtieth Birthday. - Würzburg (Germany) ; Canberra (Australia) : CreateSpace Independent Publishing Platform, 2013 . - pp. 91-102

Deuflhard, Peter ; Schiela, Anton:
Katz und Maus.
In: Besser als Mathe : Moderne angewandte Mathematik aus dem MATHEON zum Mitmachen. 2., aktualisierte Auflage. - Wiesbaden : Springer Fachmedien, 2013 . - pp. 29-40 . - XVi, 265 S.
DOI: https://doi.org/10.1007/978-3-658-01004-1_5

Damm, Tobias ; Stahl, Dominik:
Linear least squares problems with additional constraints and an application to scattered data approximation.
In: Linear Algebra and its Applications. Vol. 439 (2013) Issue 4 . - pp. 933-943.
DOI: https://doi.org/10.1016/j.laa.2012.08.015
Review:

Volltext
Grüne, Lars ; Karafyllis, Iasson:
Lyapunov function based step size control for numerical ODE solvers with application to optimization algorithms.
In: Hüper, Knut ; Trumpf, Jochen (ed.): Mathematical System Theory : Festschrift in Honor of Uwe Helmke on the Occasion of his 60th Birthday. - S.l. : CreateSpace Independent Publishing Platform, 2013 . - pp. 183-210

Jarlebring, Elias ; Damm, Tobias ; Michiels, Wim:
Model reduction of time-delay systems using position balancing and delay Lyapunov equations.
In: Mathematics of Control, Signals, and Systems. Vol. 25 (2013) Issue 2 . - pp. 147-166.
DOI: https://doi.org/10.1007/s00498-012-0096-9
Review:

Braun, Philipp ; Pannek, Jürgen ; Worthmann, Karl:
Predictive control algorithms : stability despite shortened optimization horizons.
In: Lambertini, Luca (Hrsg.): 15th 2012 IFAC Workshop on Control Applications of Optimization. - Rimini , 2013 . - pp. 274-279
DOI: https://doi.org/10.3182/20120913-4-IT-4027.00042

Volltext
Baier, Robert ; Farkhi, Elza:
Regularity of set-valued maps and their selections through set differences. Part 1: Lipschitz continuity.
In: Serdica Mathematical Journal. Vol. 39 (2013) Issue 3-4 . - pp. 365-390.
Review:

Volltext
Baier, Robert ; Farkhi, Elza:
Regularity of set-valued maps and their selections through set differences. Part 2: One-sided Lipschitz properties.
In: Serdica Mathematical Journal. Vol. 39 (2013) Issue 3-4 . - pp. 391-422.
Review:

2012

Stahl, Dominik ; Damm, Tobias:
Approximation of scattered data using the lifting scheme.
In: Proceedings in Applied Mathematics and Mechanics. Vol. 12 (December 2012) Issue 1 . - pp. 739-740.
DOI: https://doi.org/10.1002/pamm.201210358

Grußler, Christian ; Damm, Tobias:
Symmetric Positivity Preserving Balanced Truncation.
In: Proceedings in Applied Mathematics and Mechanics. Vol. 12 (December 2012) Issue 1 . - pp. 717-718.
DOI: https://doi.org/10.1002/pamm.201210347

Damm, Tobias ; Muhirwa, Luc N.:
Zero crossings in the step response of linear time-delay systems.
In: Proceedings in Applied Mathematics and Mechanics. Vol. 12 (December 2012) Issue 1 . - pp. 701-702.
DOI: https://doi.org/10.1002/pamm.201210339

Klapproth, Corinna ; Schiela, Anton ; Deuflhard, Peter:
Adaptive numerical integration of dynamical contact problems.
2012
Event: Thematic Conference of the European Community on Computational Methods in Applied Sciences (ECCOMAS), 2nd International Conference on Computational Contact Mechanics (ICCCM 2011) , 15.-17. Juni 2011 , Hannover, Germany.
(Conference item: Conference , Speech )

Grüne, Lars ; Pannek, Jürgen ; Seehafer, Martin ; Worthmann, Karl:
Analysis of unconstrained nonlinear MPC schemes with time varying control horizon.
In: 51st IEEE Conference on Decision and Control : Final Program and Book of Abstracts. - Piscataway, NJ : IEEE, 2012 . - pp. 2605-2610
DOI: https://doi.org/10.1109/CDC.2012.6426581

Volltext
Xausa, Ilaria ; Baier, Robert ; Gerdts, Matthias ; Gonter, Mark ; Wegwerth, Christian:
Avoidance trajectories for driver assistance systems via solvers for optimal control problems.
In: Proceedings on the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), July 9-13, 2012, Melbourne, Australia. - Melbourne, Australia : Think Business Events, 2012 . - p. 8

Grüne, Lars ; Jahn, Thomas U.:
Computing reachable sets via barrier methods on SIMD architectures.
In: Eberhardsteiner, Josef ; Böhm, Helmut J. ; Rammerstorfer, Franz G. (eds.): Proceedings of the 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2012) Held at the University of Vienna, Austria, September 10-14, 2012 (e-book). - Vienna, Austria : Vienna University of Technology, 2012 . - pp. 2076-2095

Baier, Robert ; Farkhi, Elza ; Roshchina, Vera:
The directed and Rubinov subdifferentials of quasidifferentiable functions, Part I : Definition and examples.
In: Nonlinear Analysis : Theory, Methods & Applications. Vol. 75 (2012) Issue 3 . - pp. 1074-1088.
DOI: https://doi.org/10.1016/j.na.2011.04.074
Review:

Baier, Robert ; Farkhi, Elza ; Roshchina, Vera:
The directed and Rubinov subdifferentials of quasidifferentiable functions, Part II : Calculus.
In: Nonlinear Analysis : Theory, Methods & Applications. Vol. 75 (2012) Issue 3 . - pp. 1058-1073.
DOI: https://doi.org/10.1016/j.na.2011.04.073
Review:

Altmüller, Nils ; Grüne, Lars:
Distributed and boundary model predictive control for the heat equation.
In: GAMM-Mitteilungen. Vol. 35 (2012) Issue 2 . - pp. 131-145.
DOI: https://doi.org/10.1002/gamm.201210010

Grüne, Lars ; Worthmann, Karl:
A Distributed NMPC Scheme without Stabilizing Terminal Constraints.
In: Johansson, Rolf ; Rantzer, Anders (ed.): Distributed Decision Making and Control. - London : Springer, 2012 . - pp. 261-287 . - (Lecture Notes in Control and Information Sciences ; 417 )
DOI: https://doi.org/10.1007/978-1-4471-2265-4_12

Grüne, Lars:
Economic MPC and the role of exponential turnpike properties.
In: Oberwolfach Reports. Vol. 9 (2012) Issue 1 . - pp. 678-681.
DOI: https://doi.org/10.4171/OWR/2012/12

Grüne, Lars:
Economic MPC without terminal constraints.
In: Proceedings on the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012). - Melbourne, Australia : Think Business Events, 2012 . - 4 S.

Grüne, Lars ; Pannek, Jürgen ; Worthmann, Karl:
Ensuring stability in networked systems with nonlinear MPC for continuous time systems.
In: 51st IEEE Conference on Decision and Control : Final Program and Book of Abstracts. - Piscataway, NJ : IEEE, 2012 . - pp. 14-19
DOI: https://doi.org/10.1109/CDC.2012.6426278

Alt, Walter ; Baier, Robert ; Gerdts, Matthias ; Lempio, Frank:
Error bounds for Euler approximation of linear-quadratic control problems with bang-bang solutions.
In: Numerical Algebra, Control and Optimization. Vol. 2 (2012) Issue 3 . - pp. 547-570.
DOI: https://doi.org/10.3934/naco.2012.2.547
Review:

Klapproth, Corinna ; Schiela, Anton ; Deuflhard, Peter:
Fast algorithms for the simulation of human knee joint motion.
In: Proceedings of the IASTED International Conference on Biomedical Engineering (BioMed 2012), February 15-17, 2012, Innsbruck, Austria. - Anaheim, CA u.a. : ACTA Press, 2012 . - pp. 696-699
DOI: https://doi.org/10.2316/P.2012.764-176

Baier, Robert ; Din, Q. ; Donchev, T. D.:
Higher order Runge–Kutta methods for impulsive differential systems.
In: Applied Mathematics and Computation. Vol. 218 (2012) Issue 24 . - pp. 11790-11798.
DOI: https://doi.org/10.1016/j.amc.2012.05.037
Review:

Baier, Robert ; Grüne, Lars ; Freyr Hafstein, Sigurđur:
Linear programming based Lyapunov function computation for differential inclusions.
In: Discrete and Continuous Dynamical Systems. Series B. Vol. 17 (2012) Issue 1 . - pp. 33-56.
DOI: https://doi.org/10.3934/dcdsb.2012.17.33
Review:

Deuflhard, Peter ; Schiela, Anton ; Weiser, Martin:
Mathematical cancer therapy planning in deep regional hyperthermia.
In: Acta Numerica. Vol. 21 (2012) . - pp. 307-378.
DOI: https://doi.org/10.1017/S0962492912000049
Review:

Kornienko, Igor ; Gerdts, Matthias:
A new version of necessary conditions for optimal control problems with differential algebraic equations.
In: Proceedings on the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012). - Melbourne, Australia : Think Business Events, 2012

Baier, Robert ; Molo, Mirko Hessel-von:
Newton’s method and secant method for set-valued mappings.
In: Lirkov, Ivan ; Margenov, Svetozar D. ; Waśniewski, Jerzy (ed.): Large-scale scientific computing : 8th international conference, LSSC 2011, Sozopol, Bulgaria, June 6 - 10, 2011 ; revised selected papers. - Berlin , 2012 . - pp. 91-98 . - (Lecture Notes in Computer Science ; 7116 )
DOI: https://doi.org/10.1007/978-3-642-29843-1_9
Review:

Grüne, Lars:
NMPC without terminal constraints.
In: IFAC Proceedings Volumes. Vol. 45 (2012) Issue 17 . - pp. 1-13.
DOI: https://doi.org/10.3182/20120823-5-NL-3013.00030

Hänel, Maria L. ; Kuhn, Stefan ; Henrich, Dominik ; Grüne, Lars ; Pannek, Jürgen:
Optimal camera placement to measure distances regarding static and dynamic obstacles.
In: International Journal of Sensor Networks. Vol. 12 (2012) Issue 1 . - pp. 25-36.
DOI: https://doi.org/10.1504/IJSNET.2012.047713

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Baier, Robert:
Set-valued Euler's method with interpolated distance functions and optimal control solvers.
In: Proceedings on the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012). - Melbourne, Australia : Think Business Events, 2012

Götschel, Sebastian ; Weiser, Martin ; Schiela, Anton:
Solving Optimal Control Problems with the Kaskade 7 Finite Element Toolbox.
In: Dedner, Andreas ; Flemisch, Bernd ; Klöfkorn, Robert (Hrsg.): Advances in DUNE : Proceedings of the DUNE User Meeting, Held in October 6th–8th 2010 in Stuttgart, Germany. - Berlin, Heidelberg : Springer, 2012 . - pp. 101-112
DOI: https://doi.org/10.1007/978-3-642-28589-9_8

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Palma, Vryan Gil ; Grüne, Lars:
Stability, performance and robustness of sensitivity-based multistep feedback NMPC.
In: MTNS 2012 : Proceedings of the 20th International Symposium on Mathematical Theory of Networks and Systems. - Melbourne , 2012 . - 4 S.

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Grußler, Christian ; Damm, Tobias:
A Symmetry Approach for Balanced Truncation of Positive Linear Systems.
In: Proceedings of the 51st IEEE Conference on Decision and Control Held in Maui, Hawaii, 2012. - Maui, Hawaii, USA : Institute of Electrical and Electronics Engineers (IEEE), 2012 . - pp. 4308-4313
DOI: https://doi.org/10.1109/CDC.2012.6426442

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Li, Huijuan ; Wirth, Fabian:
Zubov's method for interconnected systems : a dissipative formulation.
In: Proceedings on the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), July 9-13, 2012, Melbourne, Australia. - Melbourne, Australia : Think Business Events, 2012

2011

Baumann, Michael Heinrich:
Risikomaße auf Aktienmärkten [Measures of risk in a financial market].
München , 2011 . - 42 p.
( Bachelor thesis, 2011 , Ludwig-Maximilians-Universität München, Fakultät für Mathematik, Informatik und Statistik)

Klapproth, Corinna ; Schiela, Anton ; Deuflhard, Peter:
Adaptive timestep control for the contact-stabilized Newmark method.
In: Numerische Mathematik. Vol. 119 (2011) Issue 1 . - pp. 49-81.
DOI: https://doi.org/10.1007/s00211-011-0374-3
Review:

Schiela, Anton ; Wollner, Winnifried:
Barrier Methods for Optimal Control Problems with Convex Nonlinear Gradient State Constraints.
In: SIAM Journal on Optimization. Vol. 21 (2011) Issue 1 . - pp. 269-286.
DOI: https://doi.org/10.1137/080742154
Review:

Grüne, Lars ; Serea, Oana Silvia:
Differential Games and Zubov's Method.
In: SIAM Journal on Control and Optimization. Vol. 49 (2011) Issue 6 . - pp. 2349-2377.
DOI: https://doi.org/10.1137/100787829

Karafyllis, Iasson ; Grüne, Lars:
Feedback stabilization methods for the numerical solution of ordinary differential equations.
In: Discrete and Continuous Dynamical Systems - Series B. Vol. 16 (2011) Issue 1 . - pp. 283-317.
DOI: https://doi.org/10.3934/dcdsb.2011.16.283

Aoyama, Hideaki ; Grüne, Lars ; Semmler, Willi ; Fujiwara, Yoshi ; Souma, Wataru:
Fluctuation of Firm Size in the Long-Run and Bimodal Distribution.
In: Advances in Operations Research. Vol. 2011 (2011) . - Article ID 269239, 21 S..
DOI: https://doi.org/10.1155/2011/269239

Benner, P. ; Breiten, T. ; Damm, T.:
Generalised tangential interpolation for model reduction of discrete-time MIMO bilinear systems.
In: International Journal of Control. Vol. 84 (2011) Issue 8 . - pp. 1398-1407.
DOI: https://doi.org/10.1080/00207179.2011.601761

Benner, Peter ; Damm, Tobias:
Lyapunov Equations, Energy Functionals, and Model Order Reduction of Bilinear and Stochastic Systems.
In: SIAM Journal on Control and Optimization. Vol. 49 (2011) Issue 2 . - pp. 686-711.
DOI: https://doi.org/10.1137/09075041X

Gerdts, Matthias ; Lempio, Frank:
Mathematische Optimierungsverfahren des Operations Research.
Berlin : De Gruyter , 2011 . - IX, 527 p.
Review:

DOI: https://doi.org/10.1515/9783110249989

Grüne, Lars ; Pannek, Jürgen:
Nonlinear Model Predictive Control : Theory and Algorithms.
London : Springer , 2011 . - XII, 360 p. - (Communications and Control Engineering )
DOI: https://doi.org/10.1007/978-0-85729-501-9

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Damm, Tobias ; Homeyer, Jan:
On Indefinite Damping and Gyroscopic Stabilization.
In: Proceedings of the 18th IFAC World Congress 2011 Held in Milano, Italy. - Milano, Italy : International Federation of Automatic Control (IFAC), 2011 . - pp. 7589-7593 . - (World Congress ; 18,1 )
DOI: https://doi.org/10.3182/20110828-6-IT-1002.01773

Grüne, Lars:
Optimal invariance via receding horizon control.
In: 50th IEEE Conference on Decision and Control and European Control Conference. - Piscataway, NJ : IEEE, 2011 . - pp. 2668-2673
DOI: https://doi.org/10.1109/CDC.2011.6160242

Pannek, Jürgen ; Worthmann, Karl:
Reducing the Prediction Horizon in NMPC : An Algorithm Based Approach.
In: IFAC Proceedings Volumes. Vol. 44 (2011) Issue 1 . - pp. 7969-7974.
DOI: https://doi.org/10.3182/20110828-6-IT-1002.00916

Findeisen, Rolf ; Grüne, Lars ; Pannek, Jürgen ; Varutti, Paolo:
Robustness of Prediction Based Delay Compensation for Nonlinear Systems.
In: IFAC Proceedings Volumes. Vol. 44 (2011) Issue 1 . - pp. 203-208.
DOI: https://doi.org/10.3182/20110828-6-IT-1002.03090

Grüne, Lars ; Worthmann, Karl:
Sampled-data redesign for nonlinear multi-input systems.
In: Ancona, Fabio ; Bressan, Alberto ; Cannarsa, Piermarco ; Clarke, Francis ; Wolenski, Peter R. (ed.): Geometric Control And Nonsmooth Analysis : in honor of the 73rd birthday of H. Hermes and the 71st birthday of R. T. Rockafellar. - New Jersey, NJ : World Scientific, 2011 . - pp. 206-227 . - (Series on Advances in Mathematics for Applied Sciences ; 76 )
DOI: https://doi.org/10.1142/9789812776075_0011

Baier, Robert ; Perria, Gilbert:
Set-valued Hermite interpolation.
In: Journal of Approximation Theory. Vol. 163 (2011) Issue 10 . - pp. 1349-1372.
DOI: https://doi.org/10.1016/j.jat.2010.11.004
Review:

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Jahn, Thomas U. ; Pannek, Jürgen:
Stability of constrained adaptive model predictive control algorithms.
In: Proceedings of the 18th IFAC World Congress 2011 Held in Milano, Italy. - Milano, Italy : International Federation of Automatic Control (IFAC), 2011 . - pp. 9272-9277 . - (World Congress ; 18 )
DOI: https://doi.org/10.3182/20110828-6-IT-1002.01430

Meyer, Christian ; Panizzi, Lucia ; Schiela, Anton:
Uniqueness criteria for the adjoint equation in state-constrained elliptic optimal control.
In: Numerical Functional Analysis and Optimization. Vol. 32 (2011) Issue 9 . - pp. 983-1007.
DOI: https://doi.org/10.1080/01630563.2011.587074
Review:

2010

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Jahn, Thomas U.:
Implementierung numerischer Algorithmen auf CUDA–Systemen.
Bayreuth , 2010 . - 171 p.
(Diploma, 2010 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Mathematik V)

Grüne, Lars ; Pannek, Jürgen:
Analysis of unconstrained NMPC schemes with incomplete optimization.
In: IFAC Proceedings Volumes. Vol. 43 (2010) Issue 14 . - pp. 238-243.
DOI: https://doi.org/10.3182/20100901-3-IT-2016.00124

Grüne, Lars ; Pannek, Jürgen ; Seehafer, Martin ; Worthmann, Karl:
Analysis of Unconstrained Nonlinear MPC Schemes with Time Varying Control Horizon.
In: SIAM Journal on Control and Optimization. Vol. 48 (2010) Issue 8 . - pp. 4938-4962.
DOI: https://doi.org/10.1137/090758696

Schiela, Anton ; Weiser, Martin:
Barrier Methods for a Control Problem from Hyperthermia Treatment Planning.
In: Recent Advances in Optimization and its Applications in Engineering. - Berlin : Springer, 2010 . - pp. 419-428
DOI: https://doi.org/10.1007/978-3-642-12598-0_36

Baier, Robert ; Grüne, Lars ; Hafstein, S. F.:
Computing Lyapunov functions for strongly asymptotically stable differential inclusions.
In: IFAC Proceedings Volumes. Vol. 43 (2010) Issue 14 . - pp. 1098-1103.
DOI: https://doi.org/10.3182/20100901-3-IT-2016.00132

Klapproth, Corinna ; Schiela, Anton ; Deuflhard, Peter:
Consistency results on Newmark methods for dynamical contact problems.
In: Numerische Mathematik. Vol. 116 (2010) Issue 1 . - pp. 65-94.
DOI: https://doi.org/10.1007/s00211-010-0300-0
Review:

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Baier, Robert ; Farkhi, Elza:
The Directed Subdifferential of DC functions.
In: Leizaarowitz, A. ; Mordukhovich, B. S. ; Shafrir, I. ; Zaslavski, A. J. (ed.): Nonlinear analysis and optimization II. Optimization : a conference in celebration of Alex Ioffe's 70th and Simeon Reich's 60th birthdays, June 18-24, 2008, Haifa, Israel. - Providence, R.I. : American Mathematical Society, 2010 . - pp. 27-43 . - (Contemporary Mathematics ; 514 )
DOI: https://doi.org/10.1090/conm/514
Review:

Baier, Robert ; Donchev, Tzanko:
Discrete Approximation of Impulsive Differential Inclusions.
In: Numerical Functional Analysis and Optimization. Vol. 31 (2010) Issue 6 . - pp. 653-678.
DOI: https://doi.org/10.1080/01630563.2010.483878
Review:

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Grüne, Lars ; Müller, Florian:
Global optimal control of quantized systems.
In: Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010. - Budapest , 2010 . - pp. 1231-1237

Greiner, Alfred ; Grüne, Lars ; Semmler, Willi:
Growth and Climate Change : Threshold and Multiple Equilibria.
In: Crespo Cuaresma, Jesús ; Palokangas, Tapio ; Tarasyev, Alexander (ed.): Dynamic Systems, Economic Growth, and the Environment. - Berlin : Springer, 2010 . - pp. 63-78 . - (Dynamic Modeling and Econometrics in Economics and Finance ; 12 )
DOI: https://doi.org/10.1007/978-3-642-02132-9_4

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Altmüller, Nils ; Grüne, Lars ; Worthmann, Karl:
Instantaneous Control of the linear wave equation.
In: Proceedings of the 19th International Symposium on Mathematical Theory of Networks and Systems, MTNS 2010. - Budapest , 2010 . - pp. 1895-1899

Deuflhard, Peter ; Kornhuber, Ralf ; Sander, Oliver ; Schiela, Anton ; Weiser, Martin:
Mathematics cures virtual patients.
In: MATHEON - Mathematics for Key Technologies. - Zürich : European Math. Soc., 2010 . - pp. 7-25 . - (EMS Series in Industrial and Applied Mathematics ; 1 )
DOI: https://doi.org/10.4171/137

Grüne, Lars ; von Lossow, Marcus ; Pannek, Jürgen ; Worthmann, Karl:
MPC : implications of a growth condition on exponentially controllable systems.
In: IFAC Proceedings Volumes. Vol. 43 (2010) Issue 14 . - pp. 385-390.
DOI: https://doi.org/10.3182/20100901-3-IT-2016.00225

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Grüne, Lars ; von Lossow, Marcus ; Worthmann, Karl:
NMPC Suboptimality Estimates for Sampled–Data Continuous Systems.
In: Diehl, Moritz ; Glineur, Francois ; Jarlebring, Elias ; Michiels, Wim (ed.): Recent Advances in Optimization and its Applications in Engineering. - Berlin : Springer, 2010 . - pp. 329-338
DOI: https://doi.org/10.1007/978-3-642-12598-0_29

Baier, Robert ; Farkhi, Elza ; Roshchina, Vera:
On Computing the Mordukhovich Subdifferential Using Directed Sets in Two Dimensions.
In: Burachik, Regina S. ; Yao, Jen-Chih (ed.): Variational Analysis and Generalized Differentiation in Optimization and Control : In Honor of Boris S. Mordukhovich. - New York : Springer, 2010 . - pp. 59-93 . - (Springer Optimization and its Applications ; 47 )
DOI: https://doi.org/10.1007/978-1-4419-0437-9_3
Review:

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Altmüller, Nils ; Grüne, Lars ; Worthmann, Karl:
Performance of NMPC Schemes without Stabilizing Terminal Constraints.
In: Diehl, Moritz ; Glineur, Francois ; Jarlebring, Elias ; Michiels, Wim (ed.): Recent Advances in Optimization and its Applications in Engineering. - Berlin : Springer, 2010 . - pp. 289-298
DOI: https://doi.org/10.1007/978-3-642-12598-0_25

Grüne, Lars ; Sager, Sebastian ; Allgöwer, Frank ; Bock, Hans Georg ; Diehl, Moritz:
Predictive Planning and Systematic Action : On the Control of Technical Processes.
In: Grötschel, Martin ; Lucas, Klaus ; Mehrmann, Volker (ed.): Production Factor Mathematics. - Berlin : Springer, 2010 . - pp. 9-37
DOI: https://doi.org/10.1007/978-3-642-11248-5_2

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Altmüller, Nils ; Grüne, Lars ; Worthmann, Karl:
Receding horizon optimal control for the wave equation.
In: 49th IEEE Conference on Decision and Control (CDC). - Piscataway, NJ : IEEE, 2010 . - pp. 3427-3432
DOI: https://doi.org/10.1109/CDC.2010.5717272

Grüne, Lars ; Müller, Florian ; Jerg, Stefan ; Junge, Oliver ; Post, Marcus ; Lehmann, Daniel ; Lunze, Jan:
Two Complementary Approaches to Event-based Control : Zwei komplementäre Zugänge zur ereignisbasierten Regelung.
In: Automatisierungstechnik. Vol. 58 (2010) Issue 4 . - pp. 173-182.
DOI: https://doi.org/10.1524/auto.2010.0832

Grüne, Lars:
Worst case vs. average performance estimates for unconstrained NMPC schemes.
In: Proceedings in Applied Mathematics and Mechanics. Vol. 10 (2010) Issue 1 . - pp. 607-608.
DOI: https://doi.org/10.1002/pamm.201010296

2009

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Grüne, Lars ; Müller, Florian:
An algorithm for event-based optimal feedback control.
In: Proceedings of the 48th IEEE Conference on Decision and Control. - Piscataway, NJ : IEEE, 2009 . - pp. 5311-5316

Grüne, Lars:
Analysis and Design of Unconstrained Nonlinear MPC Schemes for Finite and Infinite Dimensional Systems.
In: SIAM Journal on Control and Optimization. Vol. 48 (2009) Issue 2 . - pp. 1206-1228.
DOI: https://doi.org/10.1137/070707853

Schiela, Anton:
Barrier methods for optimal control problems with state constraints.
In: SIAM Journal on Optimization. Vol. 20 (2009) Issue 2 . - pp. 1002-1031.
DOI: https://doi.org/10.1137/070692789
Review:

Baier, Robert ; Gerdts, Matthias:
A computational method for non-convex reachable sets using optimal control.
In: Proceedings of the European Control Conference (ECC). - Piscataway, New Jersey : IEEE, 2009 . - pp. 97-102
DOI: https://doi.org/10.23919/ECC.2009.7074386

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Grüne, Lars ; Nešić, Dragan ; Worthmann, Karl:
Digital redesign of nonlinear multi-input systems.
In: Oberwolfach Reports. Vol. 6 (2009) Issue 1 . - pp. 619-622.

Volltext
Baier, Robert ; Donchev, Tzanko:
Discrete Approximation of Impulsive Differential Inclusions.
Bonn , 2009 . - 22 p.

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
Domains of attraction of interconnected systems : A Zubov method approach.
In: Proceedings of the European Control Conference (ECC). - Piscataway, New Jersey : IEEE, 2009 . - pp. 91-96
DOI: https://doi.org/10.23919/ECC.2009.7074385

Semmler, Willi ; Grüne, Lars ; Öhrlein, Caroline:
Dynamic Consumption and Portfolio Decisions with Time Varying Asset Returns.
In: The Journal of Wealth Management. Vol. 12 (2009) Issue 2 . - pp. 21-47.
DOI: https://doi.org/10.3905/jwm.2009.12.2.021

Schiela, Anton:
An extended mathematical framework for barrier methods in function space.
In: Bercovier, Michel ; Gander, Martin J. ; Kornhuber, Ralf ; Widlund, Olof (Hrsg.): Domain decomposition methods in science and engineering XVIII. - Berlin, Heidelberg : Springer, 2009 . - pp. 201-208 . - (Lecture Notes in Computational Science and Engineering ; 70 )
DOI: https://doi.org/10.1007/978-3-642-02677-5_21
Review:

Karafyllis, Iasson ; Grüne, Lars:
Feedback Stabilization Methods for the Numerical Solution of Systems of Ordinary Differential Equations.
In: Numerical analysis and applied mathematics : International Conference on Numerical Analysis and Applied Mathematics 2009. - Melville, NY : American Inst. of Physics, 2009 . - pp. 152-155 . - (AIP Conference Proceedings ; 1168 )
DOI: https://doi.org/10.1063/1.3241391

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Haller-Dintelmann, Robert ; Meyer, Christian ; Rehberg, Joachim ; Schiela, Anton:
Hölder continuity and optimal control for nonsmooth elliptic problems.
In: Applied Mathematics and Optimization. Vol. 60 (2009) Issue 3 . - pp. 397-428.
DOI: https://doi.org/10.1007/s00245-009-9077-x
Review:

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Schiela, Anton:
Interior point methods in function space : Newton path-following and adaptivity.
In: Oberwolfach Reports. Vol. 6 (2009) Issue 04 . - pp. 254-256.
DOI: https://doi.org/10.4171/OWR/2009/04

Prüfert, Uwe ; Schiela, Anton:
The minimization of a maximum-norm functional subject to an elliptic PDE and state constraints.
In: ZAMM : Zeitschrift für angewandte Mathematik und Mechanik. Vol. 89 (2009) Issue 7 . - pp. 536-551.
DOI: https://doi.org/10.1002/zamm.200800097
Review:

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Grüne, Lars ; Pannek, Jürgen ; Worthmann, Karl:
A networked unconstrained nonlinear MPC scheme.
In: Proceedings of the European Control Conference (ECC). - Piscataway, New Jersey : IEEE, 2009 . - pp. 371-376
DOI: https://doi.org/10.23919/ECC.2009.7074430

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Klapproth, Corinna ; Deuflhard, Peter ; Schiela, Anton:
A perturbation result for dynamical contact problems.
In: Numerical Mathematics : Theory, Methods and Applications. Vol. 2 (2009) Issue 3 . - pp. 237-257.
DOI: https://doi.org/10.4208/nmtma.2009.m9003
Review:

Grüne, Lars ; Pannek, Jürgen:
Practical NMPC suboptimality estimates along trajectories.
In: Systems & Control Letters. Vol. 58 (2009) Issue 3 . - pp. 161-168.
DOI: https://doi.org/10.1016/j.sysconle.2008.10.012

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Grüne, Lars ; Pannek, Jürgen ; Worthmann, Karl:
A prediction based control scheme for networked systems with delays and packet dropouts.
In: Proceedings of the 48th IEEE Conference on Decision and Control. - Piscataway, NJ : IEEE, 2009 . - pp. 537-542

Grüne, Lars ; Junge, Oliver:
Set Oriented Construction of Globally Optimal Controllers : Mengenorientierte Konstruktion global optimaler Regler.
In: Automatisierungstechnik. Vol. 57 (2009) Issue 6 . - pp. 287-295.
DOI: https://doi.org/10.1524/auto.2009.0777

Schiela, Anton:
State constrained optimal control problems with states of low regularity.
In: SIAM Journal on Control and Optimization. Vol. 48 (2009) Issue 4 . - pp. 2407-2432.
DOI: https://doi.org/10.1137/080727610
Review:

Grüne, Lars ; Sager, Sebastian ; Allgöwer, Frank ; Bock, Hans Georg ; Diehl, Moritz:
Vorausschauend Planen, Gezielt Handeln : Über die Regelung und Steuerung technischer Prozesse.
In: Gröschel, Martin ; Lucas, Klaus ; Mehrmann, Volker (ed.): Produktionsfaktor Mathematik. - Berlin : Springer, 2009 . - pp. 27-62
DOI: https://doi.org/10.1007/978-3-540-89435-3_2

2008

Baier, Robert ; Perria, Gilbert:
Hermite Interpolation with Directed Sets.
Hausdorff-Research-Institute
Bonn , 2008 . - 35 S.

Grüne, Lars ; Junge, Oliver:
Global Optimal Control of Perturbed Systems.
In: Journal of Optimization Theory and Applications. Vol. 136 (November 2008) Issue 3 . - pp. 411-429.
DOI: https://doi.org/10.1007/s10957-007-9312-z

Grüne, Lars ; Semmler, Willi:
Asset pricing with loss aversion.
In: Journal of Economic Dynamics and Control. Vol. 32 (October 2008) Issue 10 . - pp. 3253-3274.
DOI: https://doi.org/10.1016/j.jedc.2008.01.002

Grüne, Lars ; Rantzer, Anders:
On the Infinite Horizon Performance of Receding Horizon Controllers.
In: IEEE Transactions on Automatic Control. Vol. 53 (October 2008) Issue 9 . - pp. 2100-2111.
DOI: https://doi.org/10.1109/TAC.2008.927799

Grüne, Lars ; Worthmann, Karl:
Nonlinear sampled-data redesign : analytical formulas and their practical implementation.
In: Mathematical Theory of Networks and Systems (MTNS2008) : Proceedings of the 18th International Symposium Blacksburg, Virginia, USA. - Blacksburg, VA, USA , 2008 . - CD-ROM, Paper 084.pdf, 6 S.

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Grüne, Lars ; Müller, Florian:
Set oriented optimal control using past information.
In: Mathematical Theory of Networks and Systems (MTNS2008) : Proceedings of the 18th International Symposium Blacksburg, Virginia, USA. - Blacksburg, VA, USA , 2008 . - CD-Rom, Paper 125.pdf, 6 S.

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Grüne, Lars ; Pannek, Jürgen:
Trajectory based suboptimality estimates for receding horizon controllers.
In: Mathematical Theory of Networks and Systems (MTNS2008) : Proceedings of the 18th International Symposium Blacksburg, Virginia, USA. - Blacksburg, VA, USA , 2008 . - CD-ROM, Paper 023.pdf, 6 S.

Volltext
Baier, Robert ; Farkhi, Elza:
The Directed Subdifferential of DC functions.
Hausdorff-Research-Institute
Bonn , 2008 . - 19 p.

Grüne, Lars:
Input-to-state stability, numerical dynamics and sampled-data control.
In: GAMM-Mitteilungen. Vol. 31 (March 2008) Issue 1 . - pp. 94-114.
DOI: https://doi.org/10.1002/gamm.200890005

Grüne, Lars ; Worthmann, Karl ; Nešić, Dragan:
Continuous-time controller redesign for digital implementation : A trajectory based approach.
In: Automatica. Vol. 44 (January 2008) Issue 1 . - pp. 225-232.
DOI: https://doi.org/10.1016/j.automatica.2007.05.003

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
Control Lyapunov Functions and Zubov's Method.
In: SIAM Journal on Control and Optimization. Vol. 47 (January 2008) Issue 1 . - pp. 301-326.
DOI: https://doi.org/10.1137/06065129X

Weiser, Martin ; Gänzler, Tobias ; Schiela, Anton:
A control reduced primal interior point method for a class of control constrained optimal control problems.
In: Computational Optimization and Applications. Vol. 41 (2008) Issue 1 . - pp. 127-145.
DOI: https://doi.org/10.1007/s10589-007-9088-y
Review:

Grüne, Lars:
Optimization Based Stabilization of Nonlinear Control Systems.
In: Lirkov, Ivan D. ; Margenov, Svetozar ; Waśniewski, Jerzy (ed.): Large-Scale Scientific Computing : 6th International Conference, LSSC 2007, Sozopol, Bulgaria, June 5-9, 2007 ; revised papers. - Berlin ; Heidelberg : Springer, 2008 . - pp. 52-65 . - (Lecture Notes in Computer Science ; 4818 )
DOI: https://doi.org/10.1007/978-3-540-78827-0_5

Grüne, Lars ; Pannek, Jürgen ; Worthmann, Karl ; Nešić, Dragan:
Redesign Techniques for Nonlinear Sampled-data Systems :(Entwurfstechniken für nichtlineare Abtastsysteme).
In: Automatisierungstechnik. Vol. 56 (2008) Issue 1 . - pp. 38-48.
DOI: https://doi.org/10.1524/auto.2008.0684

Volltext
Schiela, Anton:
A simplified approach to semismooth Newton methods in function space.
In: SIAM Journal on Optimization. Vol. 19 (2008) Issue 3 . - pp. 1417-1432.
DOI: https://doi.org/10.1137/060674375
Review:

Schiela, Anton ; Weiser, Martin:
Superlinear convergence of the control reduced interior point method for PDE constrained optimization.
In: Computational Optimization and Applications. Vol. 39 (2008) Issue 3 . - pp. 369-393.
DOI: https://doi.org/10.1007/s10589-007-9057-5
Review:

Volltext
Baier, Robert ; Lempio, Frank:
Von Eudoxos bis zur Klimafolgenforschung : Exhaustion, Finite Elemente und mengenwertige Numerik.
Universität Bayreuth, Pressestelle
In: Spektrum. (2008) Issue 1 . - pp. 6-12.

2007

Volltext
Grüne, Lars:
Computing minimal optimization horizons for stabilizing unconstrained MPC schemes.
In: Proceedings in Applied Mathematics and Mechanics. Vol. 7 (December 2007) Issue 1 . - S. 4130007-4130008.
DOI: https://doi.org/10.1002/pamm.200700203

Volltext
Grüne, Lars ; Junge, Oliver:
An efficient algorithm for perturbed shortest path problems.
In: Proceedings in Applied Mathematics and Mechanics. Vol. 7 (December 2007) Issue 1 . - pp. 1025003-1025004.
DOI: https://doi.org/10.1002/pamm.200700714

Volltext
Schiela, Anton:
Optimality Conditions for Convex State Constrained Optimal Control Problems with Discontinuous States.
Konrad-Zuse-Zentrum für Informationstechnik Berlin
Berlin , 2007 . - (ZIB-Report ; 07-35 )

Becker, Stephanie ; Grüne, Lars ; Semmler, Willi:
Comparing accuracy of second-order approximation and dynamic programming.
In: Computational Economics. Vol. 30 (March 2007) Issue 1 . - pp. 65-91.
DOI: https://doi.org/10.1007/s10614-007-9087-1

Grüne, Lars ; Kloeden, Peter E. ; Siegmund, Stefan ; Wirth, Fabian:
Lyapunov's second method for nonautonomous differential equations.
In: Discrete and Continuous Dynamical Systems. Series A. Vol. 18 (March 2007) Issue 2/3 . - pp. 375-403.
DOI: https://doi.org/10.3934/dcds.2007.18.375

Baier, Robert ; Farkhi, Elza:
Regularity and Integration of Set-Valued Maps Represented by Generalized Steiner Points.
In: Set-Valued Analysis. Vol. 15 (March 2007) Issue 2 . - pp. 185-207.
DOI: https://doi.org/10.1007/s11228-006-0038-0
Review:

Grüne, Lars ; Semmler, Willi:
Asset pricing with dynamic programming.
In: Computational Economics. Vol. 29 (January 2007) Issue 3/4 . - pp. 233-265.
DOI: https://doi.org/10.1007/s10614-006-9063-1

Volltext
Grüne, Lars ; Junge, Oliver:
Approximately optimal nonlinear stabilization with preservation of the Lyapunov function property.
In: 46th IEEE Conference on Decision and Control. - Piscataway, NJ, USA : IEEE Service Center, 2007 . - pp. 702-707
DOI: https://doi.org/10.1109/CDC.2007.4434428

Baier, Robert ; Büskens, Christof ; Chahma, Ilyes Aïssa ; Gerdts, Matthias:
Approximation of reachable sets by direct solution methods for optimal control problems.
In: Optimization Methods and Software. Vol. 22 (2007) Issue 3 . - pp. 433-452.
DOI: https://doi.org/10.1080/10556780600604999
Review:

Volltext
Grüne, Lars:
Computing stability and performance bounds for unconstrained NMPC schemes.
In: 46th IEEE Conference on Decision and Control. - Piscataway, NJ, USA : IEEE Service Center, 2007 . - pp. 1263-1268
DOI: https://doi.org/10.1109/CDC.2007.4434156

Grüne, Lars ; Semmler, Willi ; Bernard, Lucas:
Firm value, diversified capital assets, and credit risk: towards a theory of default correlation.
In: Journal of Credit Risk. Vol. 3 (2007) Issue 4 . - pp. 81-109.
DOI: https://doi.org/10.21314/JCR.2007.053

Baier, Robert:
Generalized Steiner Selections Applied to Standard Problems of Set-Valued Numerical Analysis.
In: Staicu, Vasile (ed.): Differential Equations, Chaos and Variational Problems. - Basel : Birkhäuser, 2007 . - pp. 49-60 . - (Progress in Nonlinear Differential Equations and Their Applications ; 75 )
DOI: https://doi.org/10.1007/978-3-7643-8482-1_4
Review:

Lossow, Marcus von:
A min-max version of Dijkstra's algorithm with application to perturbed optimal control problems.
In: Proceedings in Applied Mathematics and Mechanics. Vol. 7 (2007) Issue 1 . - pp. 4130027-4130028.
DOI: https://doi.org/10.1002/pamm.200700646

Grüne, Lars ; Nešić, Dragan ; Pannek, Jürgen:
Model predictive control for nonlinear sampled-data systems.
In: Findeisen, Rolf ; Allgöwer, Frank ; Biegler, Lorenz T. (ed.): Assessment and Future Directions of Nonlinear Model Predictive Control. - Berlin ; Heidelberg : Springer, 2007 . - pp. 105-113 . - (Lecture Notes in Control and Information Sciences ; 358 )
DOI: https://doi.org/10.1007/978-3-540-72699-9_8

Altmüller, Nils:
Poiseuille- und Quetschströmungen zwischen gewellten Platten.
Bayreuth , 2007
(Diploma, 2007 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Ingenieurmathematik; Universität Bayreuth, Fakultät für Ingenieurwissenschaften, Lehrstuhl für Technische Mechanik und Strömungsmechanik)

Perria, Gilbert:
Set-valued interpolation.
Bayreuth : Mathemat. Inst. der Univ. Bayreuth , 2007 . - VI, 154 S. - (Bayreuther Mathematische Schriften ; 79 )
( Doctoral thesis, 2006 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)
Review:

Baier, Robert ; Chahma, Ilyes Aïssa ; Lempio, Frank:
Stability and Convergence of Euler's Method for State-Constrained Differential Inclusions.
In: SIAM Journal on Optimization. Vol. 18 (2007) Issue 3 . - pp. 1004-1026.
DOI: https://doi.org/10.1137/060661867
Review:

2006

Bauer, Florian ; Grüne, Lars ; Semmler, Willi:
Adaptive spline interpolation for Hamilton–Jacobi–Bellman equations.
In: Applied Numerical Mathematics. Vol. 56 (September 2006) Issue 9 . - pp. 1196-1210.
DOI: https://doi.org/10.1016/j.apnum.2006.03.011

Grüne, Lars ; Kloeden, Peter E.:
Higher order numerical approximation of switching systems.
In: Systems & Control Letters. Vol. 55 (September 2006) Issue 9 . - pp. 746-754.
DOI: https://doi.org/10.1016/j.sysconle.2006.03.002

Grüne, Lars ; Saint-Pierre, Patrick:
An invariance kernel representation of ISDS Lyapunov functions.
In: Systems & Control Letters. Vol. 55 (September 2006) Issue 9 . - pp. 736-745.
DOI: https://doi.org/10.1016/j.sysconle.2006.02.003

Camili, Fabio ; Cesaroni, Annalisa ; Grüne, Lars ; Wirth, Fabian:
Stabilization of controlled diffusions via Zubov's method.
In: Stochastics & Dynamics. Vol. 6 (September 2006) Issue 3 . - pp. 373-394.
DOI: https://doi.org/10.1142/S0219493706001803

Volltext
Schiela, Anton:
A continuity result for Nemyckii Operators and some applications in PDE constrained optimal control.
Konrad-Zuse-Zentrum für Informationstechnik Berlin
Berlin, Germany , 2006 . - (ZIB-Report ; 06-41 )

Nešić, Dragan ; Grüne, Lars:
A receding horizon control approach to sampled-data implementation of continuous-time controllers.
In: Systems & Control Letters. Vol. 55 (August 2006) Issue 8 . - pp. 660-672.
DOI: https://doi.org/10.1016/j.sysconle.2005.09.013

Volltext
Schiela, Anton:
Convergence of the Control Reduced Interior Point Method for PDE Constrained Optimal Control with State Constraints.
Konrad-Zuse-Zentrum für Informationstechnik Berlin
Berlin, Germany , 2006 . - (ZIB-Report ; 06-16 )

Worthmann, Karl:
Digitale Implementierung kontinuierlicher Regler : Analyse und Optimierung.
Bayreuth , 2006
(Diploma, 2006 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Grüne, Lars ; Nešić, Dragan ; Worthmann, Karl:
High order approximations by sampled-data feedback.
In: MTNS 2006 : Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems. - Kyoto, Japan : Kyoto Univ., 2006 . - pp. 1780-1787

Gerdts, Matthias:
Optimal Control of Ordinary Differential Equations and Differential-Algebraic Equations.
Bayreuth , 2006 . - IV, 235 S.
( Habilitation thesis, 2006 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Grüne, Lars ; Junge, Oliver:
Optimal stabilization of hybrid systems using a set oriented approach.
In: MTNS 2006 : Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems. - Kyoto, Japan : Kyoto Univ., 2006 . - pp. 2089-2093

Perria, Gilbert:
Set Valued Interpolation.
Bayreuth , 2006 . - XVI, 119 S.
( Doctoral thesis, 2006 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Grüne, Lars ; Ratzer, A.:
Suboptimality estimates for receding horizon controllers.
In: MTNS 2006 : Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems. - Kyoto, Japan : Kyoto Univ., 2006 . - pp. 120-127

2005

Grüne, Lars ; Junge, Oliver:
Constructing Robust Feedback Laws by Set Oriented Numerical Methods.
In: Proceedings in Applied Mathematics and Mechanics. Vol. 5 (December 2005) Issue 1 . - pp. 157-160.
DOI: https://doi.org/10.1002/pamm.200510059

Grüne, Lars ; Junge, Oliver:
A set oriented approach to optimal feedback stabilization.
In: Systems & Control Letters. Vol. 54 (February 2005) Issue 2 . - pp. 169-180.
DOI: https://doi.org/10.1016/j.sysconle.2004.08.005

Weiser, Martin ; Schiela, Anton ; Deuflhard, Peter:
Asymptotic mesh independence of Newton's method revisited.
In: SIAM Journal on Numerical Analysis. Vol. 42 (2005) Issue 5 . - pp. 1830-1845.
DOI: https://doi.org/10.1137/S0036142903434047
Review:

Volltext
Camili, Fabio ; Grüne, Lars ; Wirth, Fabian:
Calculating the domain of attraction : Zubov's method and extensions.
In: Proceedings of the Stability and Control Processes Conference (SCP 2005), dedicated to the 75th birthday anniversary of V. I. Zubov. - St. Petersburg , 2005 . - pp. 27-36

Grüne, Lars ; Semmler, Willi ; Sieveking, Malte:
Creditworthiness and thresholds in a credit market model with multiple equilibria.
In: Economic Theory. Vol. 25 (2005) Issue 2 . - pp. 287-315.
DOI: https://doi.org/10.1007/s00199-003-0442-8

Grüne, Lars ; Semmler, Willi:
Default Risk, Asset Pricing, and Debt Control.
In: Journal of Financial Econometrics. Vol. 3 (2005) Issue 1 . - pp. 79-106.
DOI: https://doi.org/10.1093/jjfinec/nbi006

Nešić, Dragan ; Grüne, Lars:
Lyapunov-based continuous-time nonlinear controller redesign for sampled-data implementation.
In: Automatica. Vol. 41 (2005) Issue 7 . - pp. 1143-1156.
DOI: https://doi.org/10.1016/j.automatica.2005.03.001

Lossow, Marcus von:
Mengenorientierte optimale Steuerung und Fehlerschätzung.
Bayreuth , 2005 . - 69 S.
(Diploma, 2005 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Grüne, Lars ; Nešić, Dragan ; Pannek, Jürgen:
Model predictive sampled-data redesign for nonlinear systems.
In: Proceedings of the 44th IEEE Conference on Decision and Control. - Piscatawny, NJ, USA : Institute of Electrical and Electronics Engineers, 2005 . - pp. 36-41
DOI: https://doi.org/10.1109/CDC.2005.1582127

Pannek, Jürgen:
Modellprädiktive Regelung nichtlinearer sampled-data Systeme.
Bayreuth , 2005 . - 205 S.
(Diploma, 2005 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Grüne, Lars ; Nešić, Dragan:
Nonlinear sampled-data controller redesign via Lyapunov functions.
In: Horáček, Petr (ed.): Preprints of the 16th World Congress of the International Federation of Automatic Control : July 3 - 8, 2005, Prague, Czech Republic. - IFAC, 2005 . - DVD-ROM, Paper No. Fr-A17-TO/5

Grüne, Lars ; Nešić, Dragan ; Pannek, Jürgen:
Redesign techniques for nonlinear sampled-data control.
In: Oberwolfach Reports. Vol. 11 (2005) . - pp. 584-586.

Graf, Tobias:
Satellitentransfer von einem Geotransferorbit in einen geostationären Orbit.
Bayreuth : Math. Inst. der Univ. Bayreuth , 2005 . - (Bayreuther Mathematische Schriften ; 71 )
( Doctoral thesis, 2005 , Universität Bayreuth, Fakultät für Mathematik und Physik)
Review:

Baier, Robert:
Selection Strategies for Set-Valued Runge-Kutta Methods.
In: Li, Zhilin ; Vulkov, Lubin ; Waśniewski, Jerzy (ed.): Numerical Analysis and Its Applications : Third International Conference, NAA 2004, Rousse, Bulgaria, June 29-July 3, 2004 ; Revised Selected Papers. - Berlin ; Heidelberg : Springer, 2005 . - pp. 149-157 . - (Lecture Notes in Computer Science ; 3401 )
DOI: https://doi.org/10.1007/978-3-540-31852-1_16
Review:

Grüne, Lars ; Saint-Pierre, Patrick:
A set valued characterization of ISDS Lyapunov functions.
In: Proceedings of the 44th IEEE Conference on Decision and Control. - Piscatawny, NJ, USA : Institute of Electrical and Electronics Engineers, 2005 . - pp. 4718-4723
DOI: https://doi.org/10.1109/CDC.2005.1582127

Volltext

Grüne, Lars ; Kato, Mika ; Semmler, Willi:
Solving ecological management problems using dynamic programming.
In: Journal of Economic Behavior & Organization. Vol. 57 (2005) Issue 4 . - pp. 448-473.
DOI: https://doi.org/10.1016/j.jebo.2005.04.002

Volltext
Camili, Fabio ; Grüne, Lars ; Wirth, Fabian:
Zubov's method for stochastic control systems.
In: IFAC Proceedings Volumes. Vol. 38 (2005) Issue 1 . - pp. 259-264.

2004

Grüne, Lars ; Semmler, Willi:
Using dynamic programming with adaptive grid scheme for optimal control problems in economics.
In: Journal of Economic Dynamics and Control. Vol. 28 (December 2004) Issue 12 . - pp. 2427-2456.
DOI: https://doi.org/10.1016/j.jedc.2003.11.002

Weiser, Martin ; Schiela, Anton:
Function space interior point methods for PDE constrained optimization.
In: Proceedings in Applied Mathematics and Mechanics. Vol. 4 (5 November 2004) Issue 1 . - pp. 43-46.
DOI: https://doi.org/10.1002/pamm.200410011

Camili, Fabio ; Grüne, Lars ; Wirth, Fabian:
Characterizing controllability probabilities of stochastic control systems via Zubov's method.
In: de Moor, B. ; Motmans, Bart ; Willems, J. ; van Dooren, Paul ; Blondel, Vincent (ed.): Proceedings of the 16th International Symposium on Mathematical Theory of Networks and Systems (MTNS2004). - Leuven : KU Leuven - ESAT, 2004 . - CD-ROM, WA3, Paper No. 65

Camili, Fabio ; Grüne, Lars ; Wirth, Fabian:
Construction of Lyapunov functions on the domain of asymptotic nullcontrollability : Numerics.
In: IFAC Proceedings Volumes. Vol. 37 (2004) Issue 13 . - pp. 715-720.
DOI: https://doi.org/10.1016/S1474-6670(17)31309-5

Camili, Fabio ; Grüne, Lars ; Wirth, Fabian:
Construction of Lyapunov functions on the domain of asymptotic nullcontrollability : Theory.
In: IFAC Proceedings Volumes. Vol. 37 (2004) Issue 13 . - pp. 709-714.
DOI: https://doi.org/10.1016/S1474-6670(17)31308-3

Baier, Robert:
Convergence Analysis for Selection Strategies of Set-Valued Runge-Kutta Methods.
Bayreuth : Mathematisches Institut, 2004 . - 40 S. - (Technical Report )

Grüne, Lars:
Quantitative aspects of the input-to-state stability property.
In: Queiroz, Marcio S. de ; Malisoff, Michael ; Wolenski, Peter (ed.): Optimal control, stabilization and nonsmooth analysis. - Berlin ; Heidelberg : Springer, 2004 . - pp. 215-230 . - (Lecture Notes in Control and Information Sciences ; 301 )

Grüne, Lars:
Robust asymptotic controllability under time-varying perturbations.
In: Stochastics and Dynamics. Vol. 4 (2004) Issue 3 . - pp. 297-316.
DOI: https://doi.org/10.1142/S0219493704001085

Baier, Robert ; Dyn, N.:
Rotational Metric Average in |R^n.
Bayreuth : Mathematisches Institut, 2004 . - 11 S. - (Technical Report )

2003

Schiela, Anton ; Bornemann, Folkmar:
Sparsing in real time simulation.
In: ZAMM : Zeitschrift für angewandte Mathematik und Mechanik. Vol. 83 (October 2003) Issue 10 . - pp. 637-647.
DOI: https://doi.org/10.1002/zamm.200310070
Review:

Camilli, Fabio ; Grüne, Lars:
Characterizing attraction probabilities via the stochastic Zubov equation.
In: Discrete and Continuous Dynamical Systems. Series B. Vol. 3 (August 2003) Issue 3 . - pp. 457-468.
DOI: https://doi.org/10.3934/dcdsb.2003.3.457

Grüne, Lars:
Attraction Rates, Robustness, and Discretization of Attractors.
In: SIAM Journal on Numerical Analysis. Vol. 41 (July 2003) Issue 6 . - pp. 2096-2113.
DOI: https://doi.org/10.1137/S003614290139411X

Grüne, Lars ; Nešić, Dragan:
Optimization-Based Stabilization of Sampled-Data Nonlinear Systems via Their Approximate Discrete-Time Models.
In: SIAM Journal on Control and Optimization. Vol. 42 (July 2003) Issue 1 . - pp. 98-122.
DOI: https://doi.org/10.1137/S036301290240258X

Perria, Gilbert:
Gerichtete Polytope : Arithmetische Operationen und Visualisierung mittels CGAL.
Bayreuth , 2003 . - XXVI, 161 S.
(Diploma, 2003 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl für Angewandte Mathematik)

Grüne, Lars ; Kloeden, Peter E.:
Numerical Schemes of Higher Order for a Class of Nonlinear Control Systems.
In: Dimov, Ivan ; Lirkov, Ivan ; Margenov, Svetozar ; Zlatev, Zahari (ed.): Numerical Methods and Applications : 5th International Conference, NMA 2002 Borovets, Bulgaria, August 20–24, 2002 ; Revised Papers. - Berlin ; Heidelberg : Springer, 2003 . - pp. 213-220 . - (Lecture Notes in Computer Science ; 2542 )
DOI: https://doi.org/10.1007/3-540-36487-0_23

Chahma, Ilyes Aissa:
Set-Valued Discrete Approximations of State-Constrained Differential Inclusions.
Bayreuth , 2003 . - IV, 125 S.
( Doctoral thesis, 2003 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Chahma, Ilyes Aissa:
Set-Valued Discrete Approximations of State-Constrained Differential Inclusions.
In: Chahma, Ilyes Aissa (ed.): Set-Valued Discrete Approximations of State-Constrained Differential Inclusions. - Bayreuth : Mathemat. Inst. der Univ. Bayreuth, 2003 . - pp. 3-161 . - (Bayreuther Mathematische Schriften ; 67 )
Review:

2002

Volltext
Grüne, Lars:
Asymptotic Behavior of Dynamical and Control Systems under Perturbation and Discretization.
Berlin, Heidelberg : Springer , 2002 . - 235 p. - (Lecture Notes in Mathematics ; 1783 )
Review:

DOI: https://doi.org/10.1007/b83677

Volltext
Dynamics, Bifurcations and Control.
ed.: Colonius, Fritz ; Grüne, Lars
Berlin, Heidelberg : Springer , 2002 . - 301 p. - (Lecture Notes in Control and Information Sciences ; 273 )
Review:

DOI: https://doi.org/10.1007/3-540-45606-6

Grüne, Lars:
Gain preserving Lyapunov functions for perturbed and controlled systems.
In: Proceedings of the 41st IEEE Conference on Decision and Control. Volume 1. - Piscataway, NJ : IEEE Service Center, 2002 . - pp. 707-712
DOI: https://doi.org/10.1109/CDC.2002.1184587

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
A generalization of Zubov's method to perturbed systems.
In: Proceedings of the 41st IEEE Conference on Decision and Control. Volume 3. - Piscataway, NJ : IEEE Service Center, 2002 . - pp. 3518-3523
DOI: https://doi.org/10.1109/CDC.2002.1184420

Grüne, Lars:
Input-to-state dynamical stability and its Lyapunov function characterization.
In: IEEE Transactions on Automatic Control. Vol. 47 (2002) Issue 9 . - pp. 1499-1504.
DOI: https://doi.org/10.1109/TAC.2002.802761

Cyganowski, Sasha ; Grüne, Lars ; Kloeden, Peter E.:
MAPLE for Jump-Diffusion Stochastic Differential Equations in Finance.
In: Nielsen, Søren S. (ed.): Programming Languages and Systems in Computational Economics and Finance. - Boston : Kluwer Academic Publ., 2002 . - pp. 441-460 . - (Advances in Computational Economics ; 18 )

Baier, Robert ; Dyn, N. ; Farkhi, E.:
The Metric Average of 1D Compact Sets.
In: Chui, Charles K. ; Schumaker, Larry L. ; Stöckler, Joachim (ed.): Approximation Theory X : selections of papers that were presented at the Tenth International Conference on Approximation Theory, held in St. Louis, Missouri, in March 2001. Volume 1. Abstract and classical analysis. - Nashville : Vanderbilt Univ. Press, 2002 . - pp. 9-22 . - (Innovations in Applied Mathematics )
Review:

Grüne, Lars:
Quantitative aspects of the input-to-state stability property.
In: Gilliam, David S. ; Rosenthal, Joachim ; University of Notre Dame, South Bend, Indiana (ed.): Proceedings of the Fifteenth International Symposium on Mathematical Theory of Networks and Systems, MTNS 2002 : University of Notre Dame, South Bend, Indiana, USA, August 12 - 16, 2002. - South Bend, Indiana , 2002 . - Article TUA4-4 [Elektronische Ressource]

Baier, Robert ; Lempio, Frank ; Polovinkin, Evgenii S.:
Set-Valued Integration with Negative Weights.
Bayreuth : Mathematisches Institut, 2002 . - 35 S.

Volltext
Chudej, Kurt ; Büskens, Christof ; Graf, Tobias:
Solution of a Hard Flight Path Optimization Problem by Different Optimization Codes.
In: Breuer Michael ; Durst, F. ; Zenger C. (Hrsg.): High Performance Scientific and Engineering Computing. - Berlin : Springer, 2002 . - pp. 289-296 . - (Lecture Notes in Computational Science and Engineering ; 21 )
DOI: https://doi.org/10.1007/978-3-642-55919-8_32

Grüne, Lars ; Nešić, Dragan:
Stabilization of sampled-data nonlinear systems via their approximate models : an optimization based approach.
In: Proceedings of the 41st IEEE Conference on Decision and Control. Volume 1. - Piscataway, NJ : IEEE Service Center, 2002 . - pp. 1934-1939
DOI: https://doi.org/10.1109/CDC.2002.1184810

Grüne, Lars:
Subdivision techniques for the computation of domains of attraction and reachable sets.
In: Kuržanskij, Aleksandr B. ; Fradkov, A. L. (ed.): Nonlinear control systems 2001 : (NOLCOS 2001); a proceedings volume from the 5th IFAC Symposium St. Petersburg, Russia, 4 - 6 July 2001. Volume 2. - Oxford : Pergamon, 2002 . - pp. 762-767

Osmolovskii, Nikolai P. ; Lempio, Frank:
Transformation of quadratic forms to perfect squares for broken extremals.
In: Set-Valued Analysis. Vol. 10 (2002) Issue 2/3 . - pp. 209-232.
DOI: https://doi.org/10.1023/A:1016588116615
Review:

2001

Grüne, Lars ; Kloeden, Peter E.:
Higher order numerical schemes for affinely controlled nonlinear systems.
In: Numerische Mathematik. Vol. 89 (October 2001) Issue 4 . - pp. 669-690.
DOI: https://doi.org/10.1007/s002110000279

Grüne, Lars ; Kloeden, Peter E.:
Pathwise Approximation of Random Ordinary Differential Equations.
In: BIT Numerical Mathematics. Vol. 41 (September 2001) Issue 4 . - pp. 711-721.
DOI: https://doi.org/10.1023/A:1021995918864

Grüne, Lars:
Persistence of attractors for one-step discretization of ordinary differential equations.
In: IMA Journal of Numerical Analysis. Vol. 21 (July 2001) Issue 3 . - pp. 751-767.
DOI: https://doi.org/10.1093/imanum/21.3.751

Grüne, Lars:
Adaptive grid generation for evolutive Hamilton-Jacobi-Bellman equations.
In: Falcone, Maurizio ; Makridakis, Charalampos (ed.): Numerical Methods for Viscosity Solutions and Applications. - Singapore : World Scientific, 2001 . - pp. 153-172 . - (Series on Advances in Mathematics for Applied Sciences ; 59 )

Grüne, Lars:
Asymptotic Behavior of Dynamical and Control Systems under Perturbation and Discretization.
Frankfurt/Main , 2001
( Habilitation thesis, 2001 , Goethe-Universität Frankfurt am Main)

Baier, Robert ; Farkhi, Elza M.:
Directed Derivatives of Convex Compact-Valued Mappings.
In: Hadjisavvas, Nicolas ; Pardalos, Panos M. (ed.): Advances in Convex Analysis and Global Optimization : honoring the memory of C. Caratheodory (1873 - 1950). - Dordrecht : Kluwer Academic Publishers, 2001 . - pp. 501-514 . - (Nonconvex Optimization and its Applications ; 54 )
DOI: https://doi.org/10.1007/978-1-4613-0279-7_32
Review:

Grüne, Lars ; Kloeden, Peter E.:
Discretization, inflation and perturbation of attractors.
In: Fiedler, Bernold (ed.): Ergodic theory, analysis and efficient simulation of dynamical systems. - Berlin ; Heidelberg : Springer, 2001 . - pp. 399-416
DOI: https://doi.org/10.1007/978-3-642-56589-2_17

Camilli, Fabio ; Grüne, Lars ; Wirth, Fabian:
A Generalization of Zubov's Method to Perturbed Systems.
In: SIAM Journal on Control and Optimization. Vol. 40 (2001) Issue 2 . - pp. 496-515.
DOI: https://doi.org/10.1137/S036301299936316X

Volltext
Grüne, Lars:
Homogeneous control Lyapunov functions for homogeneous control systems.
In: el Jai, Abdelhaq (ed.): Mathematical Theory of Networks and Systems. - Zielona Gora : Techn. Univ. Press, 2001

Cyganowski, Sascha ; Grüne, Lars ; Koeden, Peter:
MAPLE for Stochastic Differential Equations.
In: Blowey, James F. ; Coleman, John P. ; Craig, Alan W. (ed.): Theory and Numerics of Differential Equations : Durham 2000. - Berlin ; Heidelberg : Springer, 2001 . - pp. 127-177 . - (Universitext )
DOI: https://doi.org/10.1007/978-3-662-04354-7_3

Fischer, Torsten ; Leugering, Günter:
On instantaneous control of singularly perturbed hyperbolic equations on graphs.
In: Mehmeti, Felix Ali ; Below, Joachim von ; Nicaise, Serge (ed.): Partial differential equations on multistructures : proceedings of the conference held in Luminy, France. - New York : Dekker, 2001 . - pp. 69-98 . - (Lecture Notes in Pure and Applied Mathematics ; 219 )
Review:

Leugering, Günter ; Rathmann, Wigand:
On modeling, analysis and simulation of optimal control problems for dynamic networks of Euler-Bernoulli and Rayleigh-beams.
In: Chen, Goong ; Lasiecka, Irena ; Zhou, Jianxin (ed.): Control of nonlinear distributed parameter systems. - New York : Dekker, 2001 . - pp. 199-232 . - (Lecture Notes in Pure and Applied Mathematics ; 218 )
Review:

Camili, Fabio ; Grüne, Lars ; Wirth, Fabian:
A regularization of Zubov's equation for robust domains of attraction.
In: Isidori, Alberto ; Lamnabhi-Lagarrigue, Françoise ; Respondek, Witold (ed.): Nonlinear control in the Year 2000. Volume 1. - Berlin : Springer, 2001 . - pp. 277-290 . - (Lecture Notes in Control and Information Sciences ; 258 )
DOI: https://doi.org/10.1007/BFb0110220

Volltext
Grüne, Lars ; Camili, Fabio ; Wirth, Fabian:
Zubov's method for perturbed differential equations.
In: el Jai, Abdelhaq (ed.): Mathematical Theory of Networks and Systems. - Zielona Gora : Techn. Univ. Press, 2001

2000

Grüne, Lars ; Wirth, Fabian:
On the rate of convergence of infinite horizon discounted optimal value functions.
In: Nonlinear Analysis : Real World Applications. Vol. 1 (December 2000) Issue 4 . - pp. 499-515.
DOI: https://doi.org/10.1016/S0362-546X(99)00288-6

Grüne, Lars:
Convergence Rates of Perturbed Attracting Sets with Vanishing Perturbation.
In: Journal of Mathematical Analysis and Applications. Vol. 244 (April 2000) Issue 2 . - pp. 369-392.
DOI: https://doi.org/10.1006/jmaa.2000.6707

Grüne, Lars:
A uniform exponential spectrum for linear flows on vector bundles.
In: Journal of Dynamics and Differential Equations. Vol. 12 (March 2000) Issue 2 . - pp. 435-448.
DOI: https://doi.org/10.1023/A:1009024610394

Grüne, Lars:
Attractors under perturbation and discretization.
In: Proceedings of the 39th IEEE Conference on Decision and Control. Volume 3. - Piscataway, NJ : IEEE Publ., 2000 . - pp. 2118-2122
DOI: https://doi.org/10.1109/CDC.2000.914107

Grüne, Lars:
Computation of the Lyapunov Spectrum (Appendix D).
In: Colonius, Fritz ; Kliemann, Wolfgang (ed.): The Dynamics of Control. - Boston ; Basel : Birkhäuser, 2000 . - pp. 569-596

Grüne, Lars ; Wirth, Fabian:
Computing control Lyapunov functions via a Zubov type algorithm.
In: Proceedings of the 39th IEEE Conference on Decision and Control. Volume 3. - Piscataway, NJ : IEEE Publ., 2000 . - pp. 2129-2134
DOI: https://doi.org/10.1109/CDC.2000.914109

Lempio, Frank:
Finite element methods : from ancient to modern times (in Bulgarian).
In: Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences (ed.): Mathematics and Education in Mathematics : Proceedings of Twenty Ninth Spring Conference of the Union of Bulgarian Mathematicians, Lovetch, April 3-6, 2000. - Sofia , 2000 . - pp. 5-17

Grüne, Lars:
Homogeneous state feedback stabilization of homogeneous systems.
In: Proceedings of the 39th IEEE Conference on Decision and Control. Volume 4. - Piscataway, NJ : IEEE Publ., 2000 . - pp. 3409-3414
DOI: https://doi.org/10.1109/CDC.2000.912230

Grüne, Lars:
Homogeneous State Feedback Stabilization of Homogenous Systems.
In: SIAM Journal on Control and Optimization. Vol. 38 (2000) Issue 4 . - pp. 1288-1308.
DOI: https://doi.org/10.1137/S0363012998349303

Osmolovskii, N. P. ; Lempio, Frank:
Jacobi conditions and the riccati equation for a broken extremal.
In: Journal of Mathematical Sciences. Vol. 100 (2000) Issue 5 . - pp. 2572-2592.
DOI: https://doi.org/10.1007/BF02673843
Review:

Falcone, M. ; Grüne, Lars ; Wirth, F.:
A maximum time approach to the computation of robust domains of attraction.
In: Fiedler, Bernold ; Gröger, Konrad ; Sprekels, Jürgen (ed.): International Conference on Differential Equations : Berlin, Germany, 1 - 7 August 1999. Volume 1. - Singapore : World Scientific, 2000 . - pp. 844-849

Volltext
Schiela, Anton ; Olsson, Hans:
Mixed-mode integration for real-time simulation.
In: Papers of the Modelica Workshop 2000. - Linköping, Sweden : Modelica Association, 2000 . - pp. 69-75

Camilli, Fabio ; Grüne, Lars:
Numerical Approximation of the Maximal Solutions for a Class of Degenerate Hamilton-Jacobi Equations.
In: SIAM Journal Numerical Analysis. Vol. 38 (2000) Issue 5 . - pp. 1540-1560.
DOI: https://doi.org/10.1137/S003614299834798X

Grüne, Lars ; Sontag, E. ; Wirth, Fabian:
On equivalence of exponential and asymptotic stability under changes of variables.
In: Fiedler, Bernold ; Gröger, Konrad ; Sprekels, Jürgen (ed.): International Conference on Differential Equations. Volume 2. - Singapore : World Scientific, 2000 . - pp. 850-852

1999

Grüne, Lars ; Sontag, Eduardo D. ; Wirth, Fabian R.:
Asymptotic stability equals exponential stability, and ISS equals finite energy gain - if you twist your eyes.
In: Systems & Control Letters. Vol. 38 (October 1999) Issue 2 . - pp. 127-134.
DOI: https://doi.org/10.1016/S0167-6911(99)00053-5

Lempio, Frank:
Über zwei Jahrtausende Finite Elemente : Von Eudoxos bis zur Hyperthermietherapie.
In: Jöllenbeck, Armin (ed.): Nichtkommutative Charaktertheorie der symmetrischen Gruppen. - Bayreuth : Mathemat. Inst. der Univ. Bayreuth, 1999 . - pp. 59-78 . - (Bayreuther Mathematische Schriften ; 56 )

Baier, Robert ; Farkhi, E.:
Directed Sets and Differences of Convex Compact Sets.
In: Polis, Michael P. ; Dontchev, Asen L. ; Kall, Peter ; Lasiecka, Irena ; Olbrot, Andrzej W. (ed.): Systems modelling and optimization : Proceedings of the 18th IFIP TC7 Conference held in Detroit, Michigan, July 22-25, 1997. - Boca Raton : Chapman & Hall, 1999 . - pp. 135-143 . - (Chapman & Hall/CRC Research Notes in Mathematics Series ; 396 )
Review:

Grüne, Lars ; Wirth, Fabian:
Feedback stabilization of discrete-time homogeneous semi-linear systems.
In: Systems & Control Letters. Vol. 37 (1999) Issue 1 . - pp. 19-30.
DOI: https://doi.org/10.1016/S0167-6911(98)00110-8

Grüne, Lars ; Metscher, Martin ; Ohlberger, Mario:
On Numerical Algorithm and Interactive Visualization for Optimal Control Problems.
In: Computing and Visualization in Science. Vol. 1 (1999) Issue 4 . - pp. 221-229.
DOI: https://doi.org/10.1007/s007910050020

Grüne, Lars ; Sontag, Eduardo D. ; Wirth, Fabian R.:
On the equivalence between asymptotic and exponential stability, and between ISS and finite H-infinity gain.
In: Proceedings of the 38th IEEE Conference on Decision and Control. Volume 2. - Piscataway, NJ : IEEE Publ., 1999 . - pp. 1220-1225

Grüne, Lars:
Stabilization by sampled and discrete feedback with positive sampling rate.
In: Aeyels, Dirk ; Lamnabhi-Lagarrigue, Françoise ; Schaft, Arjan van der (ed.): Stability and Stabilization of Nonlinear Systems. - Berlin : Springer, 1999 . - pp. 165-182 . - (Lecture Notes in Control and Information Sciences ; 246 )
DOI: https://doi.org/10.1007/1-84628-577-1_9

Dellnitz, Michael:
Verzweigungsphänomene.
In: Jöllenbeck, Armin (ed.): Nichtkommutative Charaktertheorie der symmetrischen Gruppen. - Bayreuth : Mathemat. Inst. der Univ., 1999 . - pp. 43-58 . - (Bayreuther Mathematische Schriften ; 56 )
Review:

1998

Grüne, Lars:
Asymptotic Controllability and Exponential Stabilization of Nonlinear Control Systems at Singular Points.
In: SIAM Journal on Control and Optimization. Vol. 36 (1998) Issue 5 . - pp. 1485-1503.
DOI: https://doi.org/10.1137/S0363012997315919

Lempio, Frank ; Veliov, V. M.:
Discrete approximations of differential inclusions.
In: Bayreuther Mathematische Schriften. - Bayreuth : Math. Inst. der Univ., 1998 . - pp. 149-232 . - (Bayreuther Mathematische Schriften ; 54 )
Review:

Lempio, Frank:
Discrete approximations of differential inclusions.
In: GAMM-Mitteilungen. Vol. 21 (1998) Issue 2 . - pp. 103-135.
Review:

Osmolovskii, N. P. ; Lempio, Frank:
Jacobi conditions and the riccati equation for a broken extremal.
In: Differencialʹnye uravnenija = Differential equations : International Conference Dedicated to the 90th Anniversary of L. S. Pontryagin. - Moskva : Izdatelstvo Moskovskogo Universiteta, 1998 . - pp. 187-215

Camili, Fabio ; Grüne, Lars:
Maximal solutions for a class of singular Hamilton-Jacobi equations.
In: Beghi, Alessandro (ed.): Mathematical theory of networks and systems : Proceedings of the MTNS 98 Symposium held in Padova, Italy, July 1998. - Padova : Il Poligrafo, 1998 . - pp. 447-450

Grüne, Lars:
Numerical stabilization at singular points.
In: Beghi, Alessandro (ed.): Mathematical theory of networks and systems : Proceedings of the MTNS 98 Symposium held in Padova, Italy, July 1998. - Padova : Il Poligrafo, 1998 . - pp. 633-636

Lempio, Frank:
Numerische Mathematik. Band 2. Methoden der Analysis.
Bayreuth : Mathematisches Inst. der Univ. Bayreuth , 1998 . - VI, 263 p. - (Bayreuther Mathematische Schriften ; 55 )
Review:

Grüne, Lars:
On input-to-state stabilizability of semilinear control systems.
In: Beghi, Alessandro (ed.): Mathematical theory of networks and systems : Proceedings of the MTNS 98 Symposium held in Padova, Italy, July 1998. - Padova : Il Poligrafo, 1998 . - pp. 181-184

Grüne, Lars ; Wirth, Fabian:
On linear convergence of discounted optimal control problems with vanishing discount rate.
In: Beghi, Alessandro (ed.): Mathematical theory of networks and systems : Proceedings of the MTNS 98 Symposium held in Padova, Italy, July 1998. - Padova : Il Poligrafo, 1998 . - pp. 185-188

Grüne, Lars:
On the Relation between Discounted and Average Optimal Value Functions.
In: Journal of Differential Equations. Vol. 148 (1998) Issue 1 . - pp. 65-99.
DOI: https://doi.org/10.1006/jdeq.1998.3451

Grüne, Lars ; Wirth, Fabian:
Stabilization of discrete-time bilinear systems.
In: ZAMM : Zeitschrift für angewandte Mathematik und Mechanik. Vol. 78 (1998) Issue S 3 . - S. fmii925-fmi926.

1997

Grüne, Lars:
An adaptive grid scheme for the discrete Hamilton-Jacobi-Bellman equation.
In: Numerische Mathematik. Vol. 75 (1997) Issue 3 . - pp. 319-337.
DOI: https://doi.org/10.1007/s002110050241

Volltext
Grüne, Lars:
Discrete Feedback Stabilization of Nonlinear Control Systems at a Singular Point.
In: Belgian Interuniversity Attraction Pole N° 2 (ed.): European Control Conference : ECC 97. - Piscataway, NJ : IEEE, 1997 . - pp. 3200-3203

Lempio, Frank:
Numerische Mathematik. Band 1. Methoden der Linearen Algebra.
Bayreuth : Mathematisches Inst. der Univ. Bayreuth , 1997 . - VI, 234 p. - (Bayreuther Mathematische Schriften ; 51 )
Review:

Grüne, Lars:
A spectral condition for asymptotic controllability and stabilization at singular points.
In: Proceedings of the 36th IEEE Conference on Decision and Control. Volume 5. - Piscataway, NJ : IEEE Service Center, 1997 . - pp. 4431-4435
DOI: https://doi.org/10.1109/CDC.1997.649648

1996

Grüne, Lars:
Discrete feedback stabilization of semilinear control systems.
In: Control, Optimisation and Calculus of Variations. Vol. 1 (1996) Issue 1 . - pp. 207-224.
DOI: https://doi.org/10.1051/cocv:1996106

Volltext
Lempio, Frank:
Einführung in die Benutzung der Datenbanken MATH und CompactMATH. 2. erneuerte Aufl.
Bayreuth : Lehrstuhl für Angewandte Mathematik an der Universität Bayreuth, 1996 . - 61 S.

Lempio, Frank ; Silin, D. B.:
Generalized differential equations with strongly one-sided Lipschitzian right-hand side.
In: Differencial’nye Uravnenija : Du ; Ežemesjačnyj Matematičeskij Žurnal. Vol. 32 (1996) Issue 11 . - pp. 1488-1494.
Review:

Lempio, Frank ; Silin, D. B.:
Generalized differential equations with strongly one-sided Lipschitzian right-hand side.
In: Differential Equations. Vol. 32 (1996) Issue 11 . - pp. 1485-1491.
Review:

Grüne, Lars:
Numerical Stabilization of Bilinear Control Systems.
In: SIAM Journal on Control and Optimization. Vol. 34 (1996) Issue 6 . - pp. 2024-2050.
DOI: https://doi.org/10.1137/S0363012994272290

Grüne, Lars:
Numerische Berechnung des Lyapunov-Spektrums bilinearer Kontrollsysteme.
Berlin : Logos-Verl. , 1996 . - II, 131 p.
( Doctoral thesis, 1996 , Universität Augsburg, Mathematisch-Naturwissenschaftliche Fakultät)

1995

Lempio, Frank:
Euler's Method Revisited.
In: Proceedings of the Steklov Institute of Mathematics. Vol. 211 (1995) . - pp. 429-449.
Review:

Lempio, Frank:
Euler's Method Revisited.
In: Trudy Matematičeskogo Instituta Imeni V. A. Steklova. Vol. 211 (1995) . - pp. 473-494.
Review:

Baier, Robert:
Mengenwertige Integration und die diskrete Approximation erreichbarer Mengen.
Bayreuth : Universität , 1995 . - XXII, 248 S. - (Bayreuther Mathematische Schriften ; 50 )
Review:

Lempio, Frank:
Set-valued interpolation, differential inclusions, and sensitivity in optimization.
In: Lucchetti, Roberto ; Revalski, Julian (ed.): Recent Developments in Well-Posed Variational Problems. - Dordrecht : Springer, 1995 . - pp. 137-169 . - (Mathematics and its Applications ; 331 )
DOI: https://doi.org/10.1007/978-94-015-8472-2_6
Review:

1994

Baier, Robert:
Extrapolation Methods for the Computation of Set-Valued Integrals and Reachable Sets of Linear Differential Inclusions.
In: ZAMM : Zeitschrift für angewandte Mathematik und Mechanik. Vol. 74 (November 1994) Issue 6 . - S. T55-T557.
DOI: https://doi.org/10.1002/zamm.19940740604
Review:

Baier, Robert ; Lempio, Frank:
Approximating Reachable Sets by Extrapolation Methods.
In: Laurent, Pierre-Jean ; Le Méhauteé, Alain ; Schumaker, Larry L. (ed.): Curves and Surfaces in Geometric Design : Papers from the Second International Conference on Curves and Surfaces, held in Chamonix-Mont-Blanc, France, July 10-16, 1993. - Wellesley, Mass. : Peters, 1994 . - pp. 9-18
Review:

Baier, Robert ; Lempio, Frank:
Computing Aumann's Integral.
In: Kuržanskij, Aleksandr B. ; Veliov, Vladimir M. (ed.): Modeling Techniques for Uncertain Systems : Proceedings of a Conference held in Sopron, Hungary, July 6-10, 1992. - Basel : Birkhäuser, 1994 . - pp. 71-92 . - (Progress in Systems and Control Theory ; 18 )
Review:

Baier, Robert:
Mengenwertige Integration und die diskrete Approximation erreichbarer Mengen.
Bayreuth : Department of Mathematics , 1994 . - XIX, 202 S. p.
( Doctoral thesis, 1994 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

Volltext
Grüne, Lars:
Numerische optimale Steuerung und Stabilisierung.
Augsburg , 1994
(Diploma, 1994 , Universität Augsburg, Mathematisch-Naturwissenschaftliche Fakultät, Institut für Mathematik)

1993

Lempio, Frank:
Difference methods for monotone differential inclusions.
In: Karmann, Alexander ; Mosler, Karl ; Schader, Martin ; Uebe, Götz (ed.): Operations Research ’92 : Extended Abstracts of the 17th Symposium on Operations Research held at the Universität der Bundeswehr Hamburg at August 25–28, 1992. - Heidelberg : Physica-Verlag, 1993 . - pp. 235-236
DOI: https://doi.org/10.1007/978-3-662-12629-5_69

Kastner-Maresch, Alois ; Lempio, Frank:
Difference methods with selection strategies for differential inclusions.
In: Numerical Functional Analysis and Optimization. Vol. 14 (1993) Issue 5-6 . - pp. 555-572.
DOI: https://doi.org/10.1080/01630569308816539
Review:

Lempio, Frank:
Modified Euler methods for differential inclusions.
In: Kurzanskij, Aleksandr B. ; Veliov, Vladimir M. (ed.): Set-Valued Analysis and Differential Inclusions : A Collection of Papers resulting from a Workshop held in Pamporovo, Bulgaria, September 17-21, 1990. - Basel : Birkhäuser, 1993 . - pp. 131-148 . - (Progress in Systems and Control Theory ; 16 )
Review:

Achtziger, Wolfgang:
Optimierung von einfach und mehrfach belasteten Stabwerken.
Bayreuth : Univ. , 1993 . - XVIII, 353 p. - (Bayreuther Mathematische Schriften ; 46 )
( Doctoral thesis, 1993 , Universität Bayreuth, Fakultät für Mathematik und Physik)
Review:

1992

Dontchev, Asen ; Lempio, Frank:
Difference Methods for Differential Inclusions : A Survey.
In: SIAM Review. Vol. 34 (November 1992) Issue 2 . - pp. 263-294.
DOI: https://doi.org/10.1137/1034050
Review:

Lempio, Frank:
Difference Methods for Differential Inclusions.
In: Krabs, Werner (ed.): Modern Methods of Optimization : Pproceedings of the Summer School "Modern Methods of Optimization", held at the Schloss Thurnau of the University of Bayreuth, Bayreuth, FRG, October 1 - 6, 1990. - Berlin ; Heidelberg : Springer, 1992 . - pp. 236-273 . - (Lecture Notes in Economics and Mathematical Systems ; 378 )
DOI: https://doi.org/10.1007/978-3-662-02851-3_8
Review:

1991

Lempio, Frank:
The numerical treatment of differential inclusions.
In: Popivanov, Petăr R. ; Tersian, S. (ed.): Proceedings of the International Conference on Differential Equations and Applications : held in Rousse, Bulgaria, August 13-19, 1989. - Rousse : Centre of Mathematics, 1991 . - pp. 353-364

Alt, Walter:
Parametric optimization with applications to optimal control and sequential quadratic programming.
In: Bayreuther Mathematische Schriften. - Bayreuth : Lehrstuhl II für Mathematik, 1991 . - pp. 1-37 . - (Bayreuther mathematische Schriften ; 35 )
Review:

Alt, Walter:
Stability of Solutions and the Lagrange-Newton Method for Nonlinear Optimization and Optimal Control Problems.
Bayreuth , 1991 . - X, 112 S. p.
( Habilitation thesis, 1991 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik, Lehrstuhl Mathematik V)

1990

Kastner-Maresch, Alois:
Diskretisierungsverfahren zur Lösung von Differentialinklusionen.
Bayreuth , 1990 . - 106 p.
( Doctoral thesis, 1990 , Universität Bayreuth, Fakultät für Mathematik und Physik)

Baier, Robert:
Konvergenz und numerische Realisierung von Mehrgitterverfahren und Diskretisierungsmethoden für Randwertaufgaben zweiter Ordnung.
Bayreuth , 1990 . - XIX, 202 p.
(Diploma, 1990 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

1989

Schramm, Helga:
Eine Kombination von Bundle- und Trust-Region-Verfahren zur Lösung nichtdifferenzierbarer Optimierungsprobleme.
Bayreuth : Univ. , 1989 . - VIII, 205 p. - (Bayreuther Mathematische Schriften ; 30 )
( Doctoral thesis, 1989 , Universität Bayreuth, Fakultät für Mathematik und Physik)
Review:

1988

1986

Schilling, Klaus:
Simpliziale Algorithmen zur Berechnung von Fixpunkten mengenwertiger Operatoren.
Trier : WVT Wiss. Verl. , 1986 . - 190 p.
( Doctoral thesis, 1985 , Universität Bayreuth, Fakultät für Mathematik und Physik)
Review:

1982

Lempio, Frank ; Zowe, Jürgen:
Higher order optimality conditions.
In: Korte, Bernhard (ed.): Modern applied mathematics : optimization and operations research ; collection of state-of-the-art surveys based on lectures presented at the Summer School "Optimization and Operations Research", held at the University of Bonn, September 14-22, 1979. - Amsterdam : North-Holland, 1982 . - pp. 147-193 . - .
Review:

1981

Mackenroth, Uwe:
Optimalitätsbedingungen und Dualität für zustandsrestringierte konvexe parabolische Kontrollprobleme.
Bayreuth , 1981
( Habilitation thesis, 1981 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

1980

Lempio, Frank ; Maurer, H.:
Differential stability in infinite-dimensional nonlinear programming.
In: Applied Mathematics and Optimization. Vol. 6 (March 1980) Issue 1 . - pp. 139-152.
DOI: https://doi.org/10.1007/BF01442889
Review:

1979

Lempio, Frank:
Dualität und Stabilität.
In: Ansorge, Rainer ; Glashoff, Klaus ; Werner, B. (ed.): Numerical Mathematics : Numerische Mathematik; Symposium on the Occasion of the Retirement of Lothar Collatz at the Institute for Applied Mathematics, University of Hamburg, January 25–26, 1979; Symposium anläßlich der Emeritierung von Lothar Collatz am Institut für Angewandte Mathematik, Universität Hamburg, vom 25.–26. Januar 1979. - Basel : Birkhäuser, 1979 . - pp. 107-124 . - (International Series of Numerical Mathematics ; 49 )
DOI: https://doi.org/10.1007/978-3-0348-6285-1_8
Review:

Alt, Walter:
Stabilität mengenwertiger Abbildungen mit Anwendungen auf nichtlineare Optimierungsprobleme.
Bayreuth : Universität , 1979 . - VII, 107 p. - (Bayreuther Mathematische Schriften ; 3 )
( Doctoral thesis, 1979 , Universität Bayreuth, Fakultät für Mathematik und Physik)
Review:

1978

Lempio, Frank ; Maurer, H.:
Differentiable Perturbations of Infinite Optimization Problems.
In: Henn, Rudolf ; Korte, Bernhard ; Oettli, Werner (ed.): Optimization and Operations Research : Proceedings of a Workshop Held at the University of Bonn, October 2–8, 1977. - Berlin : Springer, 1978 . - pp. 181-191 . - (Lecture Notes in Economics and Mathematical Systems ; 157 )
Review:

1976

Lempio, Frank:
Minimumnormprobleme und Zeitoptimale Steuerungen.
In: Collatz, Lothar ; Werner, H. ; Meinardus, Günter (ed.): Numerische Methoden der Approximationstheorie : Numerical Methods of Approximation Theory; Vortragsauszüge der Tagung über numerische Methoden der Approximationstheorie vom 25. bis 31. Mai 1975 im Mathematischen Forschungsinstitut Oberwolfach (Schwarzwald). - Basel : Birkhäuser, 1976 . - pp. 277-298 . - (International Series of Numerical Mathematics ; 30 )
DOI: https://doi.org/10.1007/978-3-0348-7692-6_14
Review:

1974

Lempio, Frank:
Anwendungen der Lagrangeschen Multiplikatorenregel auf Approximations-, Variations- und Steuerungsprobleme.
In: Albrecht, J. ; Collatz, L. (ed.): Numerische Methoden bei Differentialgleichungen und mit funktionalanalytischen Hilfsmitteln : Vortragsauszüge der Tagung über Funktionalanalysis und numerische Mathematik vom 31. Mai bis 2. Juni 1972 in der Technischen Universität Clausthal-Zellerfeld und über Numerische Behandlung von Differentialgleichungen vom 4. bis 10. Juni 1972 am Mathematischen Forschungsinstitut Oberwolfach. - Basel : Birkhäuser, 1974 . - pp. 147-157 . - (ISNM International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D'Analyse Numérique ; 19 )
DOI: https://doi.org/10.1007/978-3-0348-6988-1_13
Review:

Lempio, Frank:
Bemerkungen zur Lagrangeschen Funktionaldifferentialgleichung.
In: Albrecht, Julius ; Collatz, Lothar (ed.): Numerische Methoden bei Differentialgleichungen und mit funktionalanalytischen Hilfsmitteln : Vortragsauszüge der Tagung über Funktionalanalysis und numerische Mathematik vom 31. Mai bis 2. Juni 1972 in der Technischen Universität Clausthal-Zellerfeld und über Numerische Behandlung von Differentialgleichungen vom 4. bis 10. Juni 1972 am Mathematischen Forschungsinstitut Oberwolfach. - Basel : Birkhäuser, 1974 . - pp. 141-146 . - (International Series of Numerical Mathematics ; 19 )
DOI: https://doi.org/10.1007/978-3-0348-6988-1_12
Review:

Lempio, Frank:
A Note on the Slater-Condition.
In: Collatz, L. ; Wetterling, W. (ed.): Numerische Methoden bei Optimierungsaufgaben : Vortragsauszüge der Tagung über Numerische Methoden bei Optimierungsaufgaben vom 18. bis 24. November 1973 im Mathematischen Forschungsinstitut Oberwolfach (Schwarzwald). Bd. 2. - Basel : Birkhäuser, 1974 . - p. 165 . - (ISNM International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D'Analyse Numérique ; 23 )
DOI: https://doi.org/10.1007/978-3-0348-5321-7_14
Review:

Lempio, Frank:
Zur optimalen Steuerung nichtlinearer Entwicklungen.
In: Künzi, Hans P. (ed.): VI. Oberwolfach-Tagung über Operations Research : 29. Juli - 4. August 1973 ; Teil 2. - Meisenheim am Glan : Hain, 1974 . - pp. 35-41 . - (Operations-Research-Verfahren ; 19 )
Review:

1973

Lempio, Frank:
Dualität und Optimale Steuerungen.
In: Collatz, Lothar ; Wetterling, W. (ed.): Numerische Methoden bei Optimierungsaufgaben : Vortragsauszüge der Tagung über numerische Methoden bei Optimierungsaufgaben vom 14. bis 20. November 1971 im Mathematischen Forschungsinstitut Oberwolfach (Schwarzwald). - Basel : Birkhäuser, 1973 . - pp. 101-109 . - (ISNM International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D'Analyse Numérique ; 17 )
DOI: https://doi.org/10.1007/978-3-0348-5971-4_9
Review:

Lempio, Frank:
Eine Verallgemeinerung des Satzes von Fritz John.
In: Henn, R. ; Künzi, H. P. ; Schubert, H. (ed.): V. Oberwolfach-Tagung über Operations Research : 13. - 19. August 1972. Band 2. - Meisenheim am Glan : Hain, 1973 . - pp. 239-247 . - (Operations-Research-Verfahren ; 17 )
Review:

1972

Lempio, Frank:
Differenzierbare Optimierung mit unendlich vielen Nebenbedingungen.
In: Henn, Rudolf ; Künzi, H. P. ; Schubert, H. (ed.): IV. Oberwolfach-Tagung über Operations Research : 25. - 31. Juli 1971. Bd. 2. - Meisenheim am Glan : Hain, 1972 . - pp. 265-273 . - (Operations-Research-Verfahren ; 13 )
Review:

Lempio, Frank:
Tangentialmannigfaltigkeiten und infinite Optimierung.
Hamburg , 1972 . - 73 p.
( Habilitation thesis, 1972 , Universität Hamburg, Institut für Angewandte Mathematik)

1971

Lempio, Frank:
Lineare Optimierung in unendlichdimensionalen Vektorräumen.
In: Computing. Vol. 8 (September 1971) Issue 3-4 . - pp. 284-290.
DOI: https://doi.org/10.1007/BF02234110
Review:

Lempio, Frank:
Separation und Optimierung in linearen Räumen.
Hamburg , 1971 . - 52 p.
( Doctoral thesis, 1971 , Universität Hamburg)

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