Time-domain decomposition for optimal control problems governed by semilinear hyperbolic systems with mixed two-point boundary conditions∗

Krug R, Leugering G, Martin A, Schmidt M, Weninger D (2021)

Publication Language: English

Publication Type: Journal article

Publication year: 2021

Journal

Control and Cybernetics Polish Academy of Sciences

Book Volume: 50

Pages Range: 427-455

Journal Issue: 4

DOI: 10.2478/candc-2021-0026

Abstract

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

Authors with CRIS profile

Richard Krug Lehrstuhl für Analytics & Mixed-Integer Optimization Günter Leugering Naturwissenschaftliche Fakultät Alexander Martin Lehrstuhl für Analytics & Mixed-Integer Optimization Dieter Weninger Lehrstuhl für Analytics & Mixed-Integer Optimization

Involved external institutions

Universität Trier DE Germany (DE)

How to cite

APA:

Krug, R., Leugering, G., Martin, A., Schmidt, M., & Weninger, D. (2021). Time-domain decomposition for optimal control problems governed by semilinear hyperbolic systems with mixed two-point boundary conditions∗. Control and Cybernetics, 50(4), 427-455. https://doi.org/10.2478/candc-2021-0026

MLA:

Krug, Richard, et al. "Time-domain decomposition for optimal control problems governed by semilinear hyperbolic systems with mixed two-point boundary conditions∗." Control and Cybernetics 50.4 (2021): 427-455.

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