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DYNAMIC BOUNDARY CONTROL GAMES WITH NETWORKS OF STRINGS

Submission Status:epub ahead of print
  • 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.

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Metadaten
Author:Martin Gugat, Sonja Steffensen
DOI:https://doi.org/10.1051/cocv/2017082
Parent Title (English):ESAIM: Control, Optimisation and Calculus of Variations (ESAIM: COCV)
Editor:Emmanuel Trelat
Document Type:Article
Language:English
Date of Publication (online):2018/01/19
Date of first Publication:2018/01/19
Release Date:2018/01/19
Subprojects:C03