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Noncooperative Model Predictive Control for Affine-Quadratic Games

Title data

Stieler, Marleen ; Baumann, Michael Heinrich ; Grüne, Lars:
Noncooperative Model Predictive Control for Affine-Quadratic Games.
In: Proceedings in Applied Mathematics and Mechanics. Vol. 18 (2018) Issue 1 . - e201800036.
ISSN 1617-7061
DOI: https://doi.org/10.1002/pamm.201800036

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Project information

Project title:
Project's official title
Project's id
DFG Project "Performance Analysis for Distributed and Multiobjective Model Predictive Control"
Gr 1596/13-1

Project financing: Bundesministerium für Bildung und Forschung
Deutsche Forschungsgemeinschaft
Hanns-Seidel-Stiftung
Michael H. Baumann is supported by Hanns-Seidel-Stiftung e.V. (HSS), funded by Bundesministerium für Bildung und Forschung (BMBF).

Abstract in another language

Nash strategies are a natural solution concept in noncooperative game theory because of their `stable' nature: If the other players stick to the Nash strategy it is never beneficial for one player to unilaterally change his or her strategy. In this sense, Nash strategies are the only reliable strategies.

The idea to perform and analyze Model Predictive Control (MPC) based on Nash strategies instead of optimal control sequences is appealing because it allows for a systematic handling of noncooperative games, which are played in a receding horizon manner. In this paper we extend existence and uniqueness results on Nash equilibria for affine-quadratic games. For this class of games we moreover state sufficient conditions that guarantee trajectory convergence of the MPC closed loop.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: Noncooperative Control; Model Predictive Control; Dynamic Games
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
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
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics
Profile Fields
Profile Fields > Advanced Fields
Profile Fields > Advanced Fields > Nonlinear Dynamics
Research Institutions
Research Institutions > Central research institutes
Research Institutions > Central research institutes > Bayreuth Research Center for Modeling and Simulation - MODUS
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Result of work at the UBT: Yes
DDC Subjects: 300 Social sciences > 330 Economics
500 Science > 510 Mathematics
Date Deposited: 19 Dec 2018 07:59
Last Modified: 09 Jan 2024 13:39
URI: https://eref.uni-bayreuth.de/id/eprint/46711

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