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Noncooperative Model Predictive Control for Affine-Quadratic Games

URN to cite this document: urn:nbn:de:bvb:703-epub-3722-7

Title data

Stieler, Marleen ; Baumann, Michael Heinrich ; Grüne, Lars:
Noncooperative Model Predictive Control for Affine-Quadratic Games.
Bayreuth , 2018 . - 2 S.

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Stieler_et_al_Noncooperative_preprint.pdf - Preprint
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Project information

Project title:
Project's official titleProject'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

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: Preprint, postprint
Keywords: Noncooperative Control; Model Predictive Control; Dynamic Games
DDC Subjects: 300 Social sciences > 330 Economics
500 Science > 510 Mathematics
Institutions of the University: 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 (Applied Mathematics)
Profile Fields > Advanced Fields > Nonlinear Dynamics
Research Institutions > Research Centres > Forschungszentrum für Modellbildung und Simulation (MODUS)
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)
Profile Fields
Profile Fields > Advanced Fields
Research Institutions
Research Institutions > Research Centres
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-3722-7
Date Deposited: 16 May 2018 05:40
Last Modified: 28 Mar 2019 09:20
URI: https://epub.uni-bayreuth.de/id/eprint/3722

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