DYNAMIC BOUNDARY CONTROL GAMES WITH NETWORKS OF STRINGS
Submission Status: | epub ahead of print |
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- 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.
MetadatenAuthor: | Martin Gugat, Sonja Steffensen |
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DOI: | https://doi.org/10.1051/cocv/2017082 |
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Parent Title (English): | ESAIM: Control, Optimisation and Calculus of Variations (ESAIM: COCV) |
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Editor: | Emmanuel Trelat |
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Document Type: | Article |
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Language: | English |
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Date of Publication (online): | 2018/01/19 |
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Date of first Publication: | 2018/01/19 |
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Release Date: | 2018/01/19 |
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Subprojects: | C03 |
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