DYNAMIC BOUNDARY CONTROL GAMES WITH NETWORKS OF STRINGS

Journal article


Publication Details

Author(s): Gugat M, Steffensen S
Journal: Esaim-Control Optimisation and Calculus of Variations
Publication year: 2018
Volume: 24
Journal issue: 4
Pages range: 1789-1813
ISSN: 1292-8119


Abstract

Consider a star-shaped network of strings. Each string is governed by the wave equation. At each boundary node of the network there is a player that performs Dirichlet boundary control action and in this way influences the system state. At the central node, the states are coupled by algebraic conditions in such a way that the energy is conserved. We consider the corresponding antagonistic game where each player minimizes a certain quadratic objective function that is given by the sum of a control cost and a tracking term for the final state. We prove that under suitable assumptions a unique Nash equilibrium exists and give an explicit representation of the equilibrium strategies.


FAU Authors / FAU Editors

Gugat, Martin apl. Prof. Dr.
Lehrstuhl für Angewandte Mathematik


External institutions with authors

Rheinisch-Westfälische Technische Hochschule (RWTH) Aachen


How to cite

APA:
Gugat, M., & Steffensen, S. (2018). DYNAMIC BOUNDARY CONTROL GAMES WITH NETWORKS OF STRINGS. Esaim-Control Optimisation and Calculus of Variations, 24(4), 1789-1813. https://dx.doi.org/10.1051/cocv/2017082

MLA:
Gugat, Martin, and Sonja Steffensen. "DYNAMIC BOUNDARY CONTROL GAMES WITH NETWORKS OF STRINGS." Esaim-Control Optimisation and Calculus of Variations 24.4 (2018): 1789-1813.

BibTeX: 

Last updated on 2019-27-03 at 02:08