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Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne

University of Bayreuth (46903)
- Faculties (43876)
  - Faculty of Mathematics, Physics und Computer Science (7300)
    - Department of Mathematics (2996)
      - Chair Mathematics V (Applied Mathematics) (551)
        Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne (342)

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Number of items at this level: 342.

2021

Grüne, Lars ; Meurer, Thomas:
Finite-dimensional output stabilization of linear diffusion-reaction systems : a small-gain approach.
Bayreuth ; Kiel , 2021 . - 13 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

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

Grüne, Lars ; Krügel, Lisa:
Local turnpike analysis using local dissipativity for discrete time discounted optimal control.
Bayreuth , 2021 . - 22 pages

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

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

Review:

AMS MatSciNet

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

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 )

Faulwasser, Timm ; Grüne, Lars:
Turnpike Properties in Optimal Control : An Overview of Discrete-Time and Continuous-Time Results.
Bayreuth , 2020 . - 31 p.

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 )

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

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

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 )

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

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

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

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

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

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

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

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)

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.

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.

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

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

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

Grüne, Lars:
Overcoming the curse of dimensionality for approximating Lyapunov functions with deep neural networks under a small-gain condition.
In: IFAC-PapersOnLine. (2020) . - 6 S..

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 )

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

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

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 )

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 )

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

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

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

Ernst, Andreas ; Grüne, Lars ; Rieger, Janosch:
A linear programming approach to approximating infinite time reachable sets of strictly stable linear control systems.
Melbourne , 2019 . - 15 p.

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

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

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

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

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

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

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)

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

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

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

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

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

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

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

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 )

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 )

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

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

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:

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

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

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

2017

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 ; 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 )

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

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

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

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

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

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

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

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

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

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

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

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 )

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

Fleig, Arthur ; Grüne, Lars:
Estimates on the Minimal Stabilizing Horizon Length in Model Predictive Control for the Fokker-Planck Equation.
In: IFAC-PapersOnLine. Vol. 49 (2016) Issue 8 . - pp. 260-265.
DOI: https://doi.org/10.1016/j.ifacol.2016.07.451

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:

Zentralblatt Mathematik

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

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

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

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 ; 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

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

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

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

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

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:

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

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 )

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

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

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

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

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

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

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

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

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)

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

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

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

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

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:

Zentralblatt

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

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:

Zentralblatt

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:

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:

Zentralblatt

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

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

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

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

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

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

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

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

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:

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

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

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:

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

2012

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

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:

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:

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

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

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.

2011

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

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

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

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

2010

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

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

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

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

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

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

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

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

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

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

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

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

Grüne, Lars:
Gewöhnliche Differentialgleichungen : Eine Einführung aus der Perspektive der dynamischen Systeme.
Wiesbaden : Vieweg + Teubner , 2009 . - XI, 243 p.
DOI: https://doi.org/10.1007/978-3-8348-9261-4

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

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

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

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

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.

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.

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.

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

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

2007

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

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

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

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

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

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

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

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

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

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

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

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.

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

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

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

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

Grüne, Lars:
Error estimation and adaptive discretization for the discrete stochastic Hamilton-Jacobi-Bellman equation.
In: Numerische Mathematik. Vol. 99 (2004) Issue 1 . - pp. 85-112.
DOI: https://doi.org/10.1007/s00211-004-0555-4

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

2003

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

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

2002

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

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

Review:

Zentralblatt Mathematik

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]

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

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)

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

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

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

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

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

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

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

Grüne, Lars:
Input-to-state stability of exponentially stabilized semilinear control systems with inhomogeneous perturbations.
In: Systems & Control Letters. Vol. 38 (September 1999) Issue 1 . - pp. 27-35.
DOI: https://doi.org/10.1016/S0167-6911(99)00044-4

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

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

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

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

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

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

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)

1994

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:

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

1992

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:

Zentralblatt der Mathematik

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)

1988

Alt, Walter ; Lempio, Frank:
Programmbibliothek des Lehrstuhls für Angewandte Mathematik der Universität Bayreuth.
Bayreuth , 1988

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:

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:

Zentralblatt der Mathematik

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:
Positive Lösungen unendlicher Gleichungs- und Ungleichungssysteme und Lagrange-Multiplikatoren für infinite differenzierbare Optimierungsprobleme.
In: ZAMM : Zeitschrift für angewandte Mathematik und Mechanik. Vol. 53 (1973) Issue 1 . - pp. 61-62.
DOI: https://doi.org/10.1002/zamm.19730530108

Review:

Mathematical 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:

Zentralblatt der Mathematik

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:

Zentralblatt für Mathematik

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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Institutions of the University of Bayreuth
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne