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Time-Domain Decomposition for Optimal Control Problems Governed by Semilinear Hyperbolic Systems with Mixed Two-Point Boundary Conditions

Submission Status:Accepted
  • In this article, we continue our work (Krug et al., 2021) on time-domain decomposition of optimal control problems for systems of semilinear hyperbolic equations in that we now consider mixed two-point boundary value problems and provide an in-depth well-posedness analysis. The more general boundary conditions significantly enlarge the scope of applications, e.g., to hyperbolic problems on metric graphs with cycles. We design an iterative method based on the optimality systems that can be interpreted as a decomposition method for the original optimal control problem into virtual control problems on smaller time domains.

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Author:Richard Krug, Günter Leugering, Alexander Martin, Martin Schmidt, Dieter Weninger
Parent Title (English):Control and Cybernetics
Document Type:Article
Language:English
Date of Publication (online):2021/07/13
Date of first Publication:2021/07/13
Release Date:2021/07/13
Tag:Convergence; Optimal control; Semilinear hyperbolic systems; Time-domain decomposition
Page Number:20
Institutes:Friedrich-Alexander-Universität Erlangen-Nürnberg
Universität Trier
Subprojects:A05
B07
B08
Licence (German):License LogoCreative Commons - CC BY - Namensnennung 4.0 International