Time-domain decomposition of optimal control problems for the wave equation

Langnese JE, Leugering G (2003)


Publication Language: English

Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2003

Journal

Publisher: Elsevier

Book Volume: 48

Pages Range: 229-242

Journal Issue: 3-4

URI: http://www.sciencedirect.com/science/article/pii/S0167691102002682

DOI: 10.1016/S0167-6911(02)00268-2

Abstract

We consider the problem of boundary optimal control of a wave equation with boundary dissipation by the way of time-domain decomposition of the corresponding optimality system. We develop an iterative algorithm which shows that the decomposed optimality system corresponds to local-in-time optimal control problems which can be treated in parallel. We show convergence of the algorithm. Finally, we provide a time discretization which is reminiscent of an instantaneous control scheme. We thereby also contribute to the problem of convergence of such schemes. (C) 2002 Elsevier Science B.V. All rights reserved.

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APA:

Langnese, J.E., & Leugering, G. (2003). Time-domain decomposition of optimal control problems for the wave equation. Systems & Control Letters, 48(3-4), 229-242. https://doi.org/10.1016/S0167-6911(02)00268-2

MLA:

Langnese, John E., and Günter Leugering. "Time-domain decomposition of optimal control problems for the wave equation." Systems & Control Letters 48.3-4 (2003): 229-242.

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