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Fakultäten > Fakultät für Mathematik, Physik und Informatik > Mathematisches Institut > Lehrstuhl Mathematik V (Angewandte Mathematik)

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2017

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. Bd. 121 (November 2017) . - S. 68-81.
DOI: 10.1016/j.apnum.2017.06.008

Baumann, Michael Heinrich ; Baumann, Michaela ; Erler, Alexander:
Limitations of stabilizing effects of fundamentalists facing positive feedback traders.
2017
Veranstaltung: The 49th Money, Macro and Finance Research Group Annual Conference , 05.-07.09.2017 , King's College, Strand, London, UK.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

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Gaitsgory, Vladimir ; Grüne, Lars ; Höger, Matthias ; Kellett, Christopher M. ; Weller, Steven R.:
Stabilization of strictly dissipative discrete time systems with discounted optimal control.
Bayreuth , 2017 . - 18 S.

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

Baumann, Michael Heinrich ; Baumann, Michaela ; Herz, Bernhard:
Exchange-traded Funds and Financial Stability.
2017
Veranstaltung: Summer School in Economics and Finance SSEF Canazei 2017 , July 17-21, 2017 , Alba di Canazei, Trento, Italy.
(Veranstaltungsbeitrag: Sonstige Veranstaltungsart, Vortrag )

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

Baumann, Michael Heinrich ; Baumann, Michaela ; Herz, Bernhard:
Exchange-traded Funds and Financial Stability.
2017
Veranstaltung: The Sixteenth Annual European Economics and Finance Society Conference 2017 , 22.06.2017-25.06.2017 , University of Ljubljana, Ljubljana, Slovenia.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

Baumann, Michael Heinrich ; Baumann, Michaela ; Erler, Alexander:
Limitations of Stabilizing Effects of Fundamentalists Facing Positive Feedback Traders.
2017
Veranstaltung: The Sixteenth Annual European Economics and Finance Society Conference 2017 , 22.06.2017-25.06.2017 , University of Ljubljana, Ljubljana, Slovenia.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

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Bankau, Marcel ; Baumann, Michaela ; Baumann, Michael Heinrich ; Schönig, Stefan ; Jablonski, Stefan:
The Process Checklist Generator : Establishing Paper-based Process Support.
Universität Bayreuth
Bayreuth , 2017 . - 5 S.

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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. Bd. N.N. (Juni 2017) . - S. 1-40.
DOI: 10.1080/00207179.2017.1339329

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Baumann, Michael Heinrich ; Baumann, Michaela ; Herz, Bernhard:
Exchange-traded Funds and Financial Stability.
2017
Veranstaltung: 21st Annual International Conference on Macroeconomic Analysis and International Finance (ICMAIF) 2017 , 25.-27.05.2017 , Rethymno, Crete, Greece.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

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Faulwasser, Timm ; Grüne, Lars ; Müller, Matthias A.:
Economic Nonlinear Model Predictive Control.
Bayreuth , 2017 . - 95 S.

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Grüne, Lars ; Pirkelmann, Simon ; Stieler, Marleen:
Strict dissipativity implies turnpike behavior for time-varying discrete time optimal control problems.
Bayreuth , 2017 . - 22 S.

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Schiela, Anton ; Ortiz, Julian:
Second order directional shape derivatives.
Bayreuth , 2017 . - 29 S.

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Müller, Matthias A. ; Grüne, Lars:
On the relation between dissipativity and discounted dissipativity.
Institute for Systems Theory and Automatic Control, University of Stuttgart; Department of Mathematics, University of Bayreuth
Bayreuth , 2017 . - 6 S.

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Hans, Christian A. ; Braun, Philipp ; Raisch, Jörg ; Grüne, Lars ; Reincke-Collon, Carsten:
Hierarchical distributed model predictive control of interconnected microgrids.
Bayreuth , 2017 . - 8 S.

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Baumann, Michaela ; Baumann, Michael Heinrich ; Schönig, Stefan ; Jablonski, Stefan:
The Process Checklist : Paper-based Enactment of Human-driven Processes.
In: Enterprise Modelling and Information Systems Architectures. Bd. 12 (28 Februar 2017) Heft 1 . - S. 1-42.
DOI: 10.18417/emisa.12.1

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

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

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

Botner, Meir ; Zarai, Yoram ; Margaliot, Michael ; Grüne, Lars:
On approximating contractive systems.
In: IEEE Transactions on Automatic Control. Bd. PP (11 Januar 2017) Heft 99 . - S. 1-7.
DOI: 10.1109/TAC.2017.2651649

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

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Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M.:
Feedback Design Using Nonsmooth Control Lyapunov Functions: A Numerical Case Study for the Nonholonomic Integrator.
Bayreuth , 2017 . - 8 S.

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. Bd. PP (2017) Heft 99 . - 12 S..
DOI: 10.1109/TAC.2017.2735194

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

DOI: 10.1007/978-3-319-46024-6

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. Bd. 173 (2017) Heft 3 . - S. 727-745.
DOI: 10.1007/s10957-017-1103-6

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Grüne, Lars ; Stieler, Marleen:
Performance Guarantees for Multiobjective Model Predictive Control.
Bayreuth , 2017 . - 6 S.

Zanon, Mario ; Grüne, Lars ; Diehl, Moritz:
Periodic optimal control, dissipativity and MPC.
In: IEEE Transactions on Automatic Control. Bd. 62 (2017) Heft 6 . - S. 2943-2949.
DOI: 10.1109/TAC.2016.2601881

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

2016

Achtziger, Wolfgang ; Baier, Robert ; Farkhi, Elza ; Roshchina, Vera:
Exact Penalty and Lagrange Duality via the Directed Subdifferential.
Erlangen ; Bayreuth ; Tel Aviv ; Melbourne : Univ., 2016 . - 40 S.

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Riedl, Wolfgang ; Baier, Robert ; Gerdts, Matthias:
Optimization-based subdivision algorithm for reachable sets.
Mathematisches Institut, Universität Bayreuth; Institut für Mathematik und Rechneranwendung, Universität der Bundeswehr in Neubiberg/München
Bayreuth , 2016 . - 33 S.

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

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

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

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Braun, Philipp:
Hierarchical distributed optimization and predictive control of a smart grid.
Bayreuth , 2016 . - ix+162 S.
( Dissertation, 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. Bd. 70 (August 2016) . - S. 128-139.
DOI: 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. Bd. 49 (August 2016) Heft 18 . - S. 247-252.
DOI: 10.1016/j.ifacol.2016.10.171

Baier, Robert ; Farkhi, Elza ; Roshchina, Vera:
From Quasidifferentiable to Directed Subdifferentiable Functions : Exact Calculus Rules.
In: Journal of Optimization Theory and Applications. Bd. 171 (April 2016) Heft 2 . - S. 384-401.
DOI: 10.1007/s10957-016-0926-x
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Grüne, Lars:
Approximation properties of receding horizon optimal control.
In: Jahresbericht der Deutschen Mathematiker Vereinigung. Bd. 118 (März 2016) Heft 1 . - S. 3-37.
DOI: 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. Bd. 438 (März 2016) Heft 2 . - S. 701-719.
DOI: 10.1016/j.jmaa.2016.01.045

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Grüne, Lars ; Müller, Matthias A.:
On the relation between strict dissipativity and turnpike properties.
In: Systems & Control Letters. Bd. 90 (Februar 2016) . - S. 45-53.
DOI: 10.1016/j.sysconle.2016.01.003

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

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

Braun, Philipp ; Grüne, Lars ; Kellett, Christopher M. ; Weller, Steven R. ; Worthmann, Karl:
A distributed optimization algorithm for the predictive control of smart grids.
Department of Mathematics, University of Bayreuth; School of Electrical Engineering and Computer Science, University of Newcastle, Australia; Technische Universität Ilmenau
In: IEEE Transactions on Automatic Control. Bd. 61 (2016) Heft 12 . - S. 3898-3911.
DOI: 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. Bd. 49 (2016) Heft 8 . - S. 260-265.
DOI: 10.1016/j.ifacol.2016.07.451

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

DOI: 10.1007/978-3-658-10241-8

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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.
Bayreuth , 2016 . - 10 S.

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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 (Hrsg.): 22nd International Symposium on Mathematical Theory of Networks and Systems : July 12-15, 2016 (MTNS 2016, Proceedings). - Minneapolis, Minnesota , 2016 . - S. 652-659

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Fleig, Arthur ; Grüne, Lars:
Model Predictive Control for the Fokker-Planck equation : analysis and structural insight.
In: University of Minnesota (Hrsg.): 22nd International Symposium on Mathematical Theory of Networks and Systems : July 12-15, 2016 (MTNS 2016, Proceedings). - Minneapolis, Minnesota , 2016 . - S. 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 (Hrsg.): Progress in Industrial Mathematics at ECMI 2014. - Heidelberg : Springer, 2016 . - S. 617-623 . - (Mathematics in Industry ; 22 )
DOI: 10.1007/978-3-319-23413-7_85

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

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

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

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

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

2015

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

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

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

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

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

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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 (Hrsg.): Proceedings of 2015 Australian Control Conference (AUCC). - Barton, Australia , 2015 . - S. 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 A. Bd. 35 (30 September 2015) Heft 9 . - S. 4041-4070.
DOI: 10.3934/dcds.2015.35.4041

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

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

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

Hafstein, Sigurdur Freyr ; Kellett, Christopher M. ; Li, Huijuan:
Computing continuous and piecewise affine Lyapunov functions for nonlinear systems.
In: Journal of Computational Dynamics. Bd. 2 (Juni 2015) Heft 2 . - S. 227-246.
DOI: 10.3934/jcd.2015004

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

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

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Baumann, Michael Heinrich:
Portfolioverluste bei plötzlichen Kurssprüngen beim Hedgen von Optionen.
2015
Veranstaltung: Value Day 2015 -- Wirtschaft trifft Wissenschaft , 12. März 2015 , FH Vorarlberg, Dornbirn, Österreich.
(Veranstaltungsbeitrag: Sonstige Veranstaltungsart, Vortrag )

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. Bd. 5 (März 2015) Heft 1 . - S. 55-71.
DOI: 10.3934/mcrf.2015.5.55

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

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

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

Li, Huijuan ; Baier, Robert ; Grüne, Lars ; Hafstein, Sigurdur Freyr ; Wirth, Fabian:
Computation of local ISS Lyapunov functions with low gains via linear programming.
In: Discrete and Continuous Dynamical Systems. Series B. Bd. 20 (2015) Heft 8 . - S. 2477-2495.
DOI: 10.3934/dcdsb.2015.20.2477
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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. Bd. 6 (2015) Heft 4 . - S. 1914-1923.
DOI: 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 . - S. 4946-4951
DOI: 10.1109/CDC.2015.7402992

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Baumann, Michaela:
Nicht-rekombinierbare Binomialbäume und ihre Anwendung in der Finanzmathematik.
2015
Veranstaltung: Value Day 2015 , 12. März 2015 , FH Vorarlberg, Dornbirn, Österreich.
(Veranstaltungsbeitrag: Sonstige Veranstaltungsart, Vortrag )

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Grüne, Lars ; Sigurani, Manuela:
Numerical event-based ISS controller design via a dynamic game approach.
In: Journal of Computational Dynamics. Bd. 2 (2015) Heft 1 . - S. 65-81.
DOI: 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 . - S. 4332-4337
DOI: 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) Heft 23 . - S. 110-116.
DOI: 10.1016/j.ifacol.2015.11.269

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Grüne, Lars:
Open problem : Strict Dissipativity and the Turnpike Property.
In: Oberwolfach Reports. Bd. 12 (2015) Heft 1 . - S. 651-652.
DOI: 10.4171/OWR/2015/12

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

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

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

Gaitsgory, Vladimir ; Grüne, Lars ; Thatcher, Neil:
Stabilization with discounted optimal control.
Department of Mathematics, University of Bayreuth
In: Systems & Control Letters. Bd. 82 (2015) . - S. 91-98.
DOI: 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: 10.1109/CDC.2015.7402996

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

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

2014

Riedl, Wolfgang:
Optimization-based subdivision algorithm for reachable sets.
In: Proceedings in Applied Mathematics and Mechanics. Bd. 14 (22 Dezember 2014) Heft 1 . - S. 937-938.
DOI: 10.1002/pamm.201410449

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Altmüller, Nils:
Model Predictive Control for Partial Differential Equations.
Bayreuth , 2014 . - XIV, 169 S.
( Dissertation, 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. Bd. 72 (Oktober 2014) . - S. 14-21.
DOI: 10.1016/j.sysconle.2014.08.002
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Xausa, Ilaria ; Baier, Robert ; Bokanowski, Olivier ; Gerdts, Matthias:
Computation of safety regions for driver assistance systems by using a Hamilton-Jacobi approach.
Volkswagen AG; Department of Mathematics, University of Bayreuth; LJLL - Laboratoire Jacques-Louis Lions, Université Paris-Diderot (Paris 7); Groupe "Optimisation et commande" (OC), L'Unité de Mathématiques Appliquées (UMA), ENSTA ParisTech; Institut für Mathematik und Rechneranwendung, Bundeswehruniversität München
Paris, France , 2014 . - 22 S.

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 . - S. 11641-11646
DOI: 10.3182/20140824-6-ZA-1003.01785

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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 . - S. 1203-1206

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Xausa, Ilaria ; Baier, Robert ; Bokanowski, Olivier ; Gerdts, Matthias ; Töpfer, Daniel:
Software for verification of collision avoidance algorithms via optimal control techniques.
2014
Veranstaltung: Conference on New Trends in Optimal Control (NetCO 2014) , 23.-27. Juni 2014 , Tours, Frankreich.
(Veranstaltungsbeitrag: Kongress/Konferenz/Symposium/Tagung , Vortrag )

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Baier, Robert ; Dellnitz, Michael ; Hessel-von Molo, Mirko ; Kevrekidis, Yannis G. ; Sertl, Stefan:
The computation of convex invariant sets via Newton's method.
In: Journal of Computational Dynamics. Bd. 1 (Juni 2014) Heft 1 . - S. 39-69.
DOI: 10.3934/jcd.2014.1.39
Rez.:

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

Bayreuth , 2014 . - 25 S.

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

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

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

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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 . - S. 453-460

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Grüne, Lars ; Stieler, Marleen:
Asymptotic stability and transient optimality of economic MPC without terminal conditions.
In: Journal of Process Control. Bd. 24 (2014) Heft 8 . - S. 1187-1196.
DOI: 10.1016/j.jprocont.2014.05.003

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

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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 . - S. 1189-1195

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

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

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

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Baier, Robert ; Farkhi, Elza ; Roshchina, Vera:
Directed Subdifferentiable Functions and the Directed Subdifferential Without Delta-Convex Structure.
In: Journal of Optimization Theory and Applications. Bd. 160 (2014) Heft 2 . - S. 391-414.
DOI: 10.1007/s10957-013-0401-x
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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 . - S. 111-167
DOI: 10.1007/978-3-319-01131-8_4
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Greiner, Alfred ; Grüne, Lars ; Semmler, Willi:
Economic growth and the transition from non-renewable to renewable energy.
In: Environment and Development Economics. Bd. 19 (2014) Heft 4 . - S. 417-439.
DOI: 10.1017/S1355770X13000491

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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 . - S. 169-261
DOI: 10.1007/978-3-319-01131-8_5
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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. Bd. 67 (2014) Heft 3 . - S. 323-330.
Rez.:

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. Bd. 52 (2014) Heft 3 . - S. 1935-1957.
DOI: 10.1137/120888934
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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 . - S. 1-30
DOI: 10.1007/978-3-319-01131-8_1
Rez.:

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. Bd. 59 (2014) Heft 11 . - S. 3098-3103.
DOI: 10.1109/TAC.2014.2321667

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Hintermüller, Michael ; Schiela, Anton ; Wollner, Winnifried:
The length of the primal-dual path in Moreau-Yosida-based path-following methods for state constrained optimal control.
In: SIAM Journal on Optimization. Bd. 24 (2014) Heft 1 . - S. 108-126.
DOI: 10.1137/120866762
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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 . - S. 1031-1037

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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 . - S. 2740-2745
DOI: 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: 10.1007/978-1-4471-5102-9_1-2

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

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

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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 . - S. 439-446

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Schiela, Anton ; Ulbrich, Stefan:
Operator preconditioning for a class of inequality constrained optimal control problems.
In: SIAM Journal on Optimization. Bd. 24 (2014) Heft 1 . - S. 435-466.
DOI: 10.1137/120877532
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Lubkoll, Lars ; Schiela, Anton ; Weiser, Martin:
An optimal control problem in polyconvex hyperelasticity.
In: SIAM Journal on Control and Optimization. Bd. 52 (2014) Heft 3 . - S. 1403-1422.
DOI: 10.1137/120876629
Rez.:

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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 . - S. 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. Bd. 52 (2014) Heft 1 . - S. 581-605.
DOI: 10.1137/12086652X

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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 . - S. 1023-1030

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Sander, Oliver ; Schiela, Anton:
Variational analysis of the coupling between a geometrically exact Cosserat rod and an elastic continuum.
In: Zeitschrift für angewandte Mathematik und Physik. Bd. 65 (2014) Heft 6 . - S. 1261-1288.
DOI: 10.1007/s00033-013-0389-y
Rez.:

Damm, Tobias ; Muhirwa, Luc N.:
Zero crossings, overshoot and initial undershoot in the step and impulse responses of linear systems.
In: IEEE Transactions on Automatic Control. Bd. 59 (2014) Heft 7 . - S. 1925-1929.
DOI: 10.1109/TAC.2013.2294616
Rez.:

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 . - S. 1732-1737
DOI: 10.1109/CDC.2013.6760132

Damm, Tobias ; Muhirwa, Luc N.:
On Euclidean Norm Balancing.
In: Proceedings in Applied Mathematics and Mechanics. Bd. 13 (Dezember 2013) Heft 1 . - S. 487-488.
DOI: 10.1002/pamm.201310236

Baier, Robert ; Gerdts, Matthias ; Xausa, Ilaria:
Approximation of reachable sets using optimal control algorithms.
In: Numerical Algebra, Control and Optimization. Bd. 3 (September 2013) Heft 3 . - S. 519-548.
DOI: 10.3934/naco.2013.3.519
Rez.:

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

Schiela, Anton ; Wachsmuth, Daniel:
Convergence analysis of smoothing methods for optimal control of stationary variational inequalities with control constraints.
In: ESAIM : Mathematical Modelling and Numerical Analysis. Bd. 47 (2013) Heft 3 . - S. 771-787.
DOI: 10.1051/m2an/2012049
Rez.:

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

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

Damm, Tobias ; Stahl, Dominik:
Linear least squares problems with additional constraints and an application to scattered data approximation.
In: Linear Algebra and its Applications. Bd. 439 (2013) Heft 4 . - S. 933-943.
DOI: 10.1016/j.laa.2012.08.015
Rez.:

Jarlebring, Elias ; Damm, Tobias ; Michiels, Wim:
Model reduction of time-delay systems using position balancing and delay Lyapunov equations.
In: Mathematics of Control, Signals, and Systems. Bd. 25 (2013) Heft 2 . - S. 147-166.
DOI: 10.1007/s00498-012-0096-9
Rez.:

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

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Baier, Robert ; Farkhi, Elza:
Regularity of set-valued maps and their selections through set differences. Part 1: Lipschitz continuity.
In: Serdica Mathematical Journal. Bd. 39 (2013) Heft 3-4 . - S. 365-390.
Rez.:

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

2012

Stahl, Dominik ; Damm, Tobias:
Approximation of scattered data using the lifting scheme.
In: Proceedings in Applied Mathematics and Mechanics. Bd. 12 (Dezember 2012) Heft 1 . - S. 739-740.
DOI: 10.1002/pamm.201210358

Grußler, Christian ; Damm, Tobias:
Symmetric Positivity Preserving Balanced Truncation.
In: Proceedings in Applied Mathematics and Mechanics. Bd. 12 (Dezember 2012) Heft 1 . - S. 717-718.
DOI: 10.1002/pamm.201210347

Damm, Tobias ; Muhirwa, Luc N.:
Zero crossings in the step response of linear time-delay systems.
In: Proceedings in Applied Mathematics and Mechanics. Bd. 12 (Dezember 2012) Heft 1 . - S. 701-702.
DOI: 10.1002/pamm.201210339

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

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

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

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

Deuflhard, Peter ; Schiela, Anton ; Weiser, Martin:
Mathematical cancer therapy planning in deep regional hyperthermia.
In: Acta Numerica. Bd. 21 (2012) . - S. 307-378.
DOI: 10.1017/S0962492912000049
Rez.:

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

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

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

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

2011

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

Klapproth, Corinna ; Schiela, Anton ; Deuflhard, Peter:
Adaptive timestep control for the contact-stabilized Newmark method.
In: Numerische Mathematik. Bd. 119 (2011) Heft 1 . - S. 49-81.
DOI: 10.1007/s00211-011-0374-3
Rez.:

Schiela, Anton ; Wollner, Winnifried:
Barrier Methods for Optimal Control Problems with Convex Nonlinear Gradient State Constraints.
In: SIAM Journal on Optimization. Bd. 21 (2011) Heft 1 . - S. 269-286.
DOI: 10.1137/080742154
Rez.:

Schiela, Anton ; Günther, Andreas:
An interior point algorithm with inexact step computation in function space for state constrained optimal control.
In: Numerische Mathematik. Bd. 119 (2011) Heft 2 . - S. 373-407.
DOI: 10.1007/s00211-011-0381-4
Rez.:

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

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

Meyer, Christian ; Panizzi, Lucia ; Schiela, Anton:
Uniqueness criteria for the adjoint equation in state-constrained elliptic optimal control.
In: Numerical Functional Analysis and Optimization. Bd. 32 (2011) Heft 9 . - S. 983-1007.
DOI: 10.1080/01630563.2011.587074
Rez.:

2010

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

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

Klapproth, Corinna ; Schiela, Anton ; Deuflhard, Peter:
Consistency results on Newmark methods for dynamical contact problems.
In: Numerische Mathematik. Bd. 116 (2010) Heft 1 . - S. 65-94.
DOI: 10.1007/s00211-010-0300-0
Rez.:

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

2009

Schiela, Anton:
Barrier methods for optimal control problems with state constraints.
In: SIAM Journal on Optimization. Bd. 20 (2009) Heft 2 . - S. 1002-1031.
DOI: 10.1137/070692789
Rez.:

Schiela, Anton:
An extended mathematical framework for barrier methods in function space.
In: Bercovier, Michel ; Gander, Martin J. ; Kornhuber, Ralf ; Widlund, Olof (Hrsg.): Domain decomposition methods in science and engineering XVIII. - Berlin, Heidelberg : Springer, 2009 . - S. 201-208 . - (Lecture Notes in Computational Science and Engineering ; 70 )
DOI: 10.1007/978-3-642-02677-5_21
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Haller-Dintelmann, Robert ; Meyer, Christian ; Rehberg, Joachim ; Schiela, Anton:
Hölder continuity and optimal control for nonsmooth elliptic problems.
In: Applied Mathematics and Optimization. Bd. 60 (2009) Heft 3 . - S. 397-428.
DOI: 10.1007/s00245-009-9077-x
Rez.:

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Schiela, Anton:
Interior point methods in function space : Newton path-following and adaptivity.
In: Oberwolfach Reports. Bd. 6 (2009) Heft 04 . - S. 254-256.
DOI: 10.4171/OWR/2009/04

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

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Klapproth, Corinna ; Deuflhard, Peter ; Schiela, Anton:
A perturbation result for dynamical contact problems.
In: Numerical Mathematics : Theory, Methods and Applications. Bd. 2 (2009) Heft 3 . - S. 237-257.
DOI: 10.4208/nmtma.2009.m9003
Rez.:

Schiela, Anton:
State constrained optimal control problems with states of low regularity.
In: SIAM Journal on Control and Optimization. Bd. 48 (2009) Heft 4 . - S. 2407-2432.
DOI: 10.1137/080727610
Rez.:

2008

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

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Schiela, Anton:
A simplified approach to semismooth Newton methods in function space.
In: SIAM Journal on Optimization. Bd. 19 (2008) Heft 3 . - S. 1417-1432.
DOI: 10.1137/060674375
Rez.:

Schiela, Anton ; Weiser, Martin:
Superlinear convergence of the control reduced interior point method for PDE constrained optimization.
In: Computational Optimization and Applications. Bd. 39 (2008) Heft 3 . - S. 369-393.
DOI: 10.1007/s10589-007-9057-5
Rez.:

2007

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

Perria, Gilbert:
Set-valued interpolation.
Bayreuth : Mathematisches Instistut der Universität Bayreuth , 2007 . - VI, 154 S. - (Bayreuther mathematische Schriften ; 79 )
( Dissertation, 2006 , Universität Bayreuth, Fakultät für Mathematik, Physik und Informatik)

2006

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

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

2005

Weiser, Martin ; Schiela, Anton ; Deuflhard, Peter:
Asymptotic mesh independence of Newton's method revisited.
In: SIAM Journal on Numerical Analysis. Bd. 42 (2005) Heft 5 . - S. 1830-1845.
DOI: 10.1137/S0036142903434047
Rez.:

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

2004

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

2003

Schiela, Anton ; Bornemann, Folkmar:
Sparsing in real time simulation.
In: ZAMM : Zeitschrift für angewandte Mathematik und Mechanik. Bd. 83 (Oktober 2003) Heft 10 . - S. 637-647.
DOI: 10.1002/zamm.200310070
Rez.:

Chahma, Ilyes Ä.:
Set valued discrete approximation of state constrained differential inclusions.
Bayreuth : Mathematisches Inst. der Univ , 2003 . - 218 S. - (Bayreuther mathematische Schriften ; 67 )
( Dissertation, 2003 , Universität Bayreuth, Fakultät für Mathematik und Physik)

2002

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

2000

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

1995

Baier, Robert:
Mengenwertige Integration und die diskrete Approximation erreichbarer Mengen.
Bayreuth : Universität , 1995 . - XXII, 248 S. - (Bayreuther mathematische Schriften ; 50 )
( Dissertation, 1995, Universität Bayreuth, Fakultät für Mathematik und Physik)

1993

Achtziger, Wolfgang:
Optimierung von einfach und mehrfach belasteten Stabwerken.
Bayreuth : Univ. , 1993 . - XVIII, 353 S. - (Bayreuther mathematische Schriften ; 46 )
( Dissertation, 1993 , Universität Bayreuth, Fakultät für Mathematik und Physik)

1990

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

1989

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

1986

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

1979

Alt, Walter:
Stabilität mengenwertiger Abbildungen mit Anwendungen auf nichtlineare Optimierungsprobleme.
Bayreuth : Universität , 1979 . - VII, 107 S. - (Bayreuther mathematische Schriften ; 3 )
( Dissertation, 1979 , Universität Bayreuth, Fakultät für Mathematik und Physik)

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