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Time Domain Decomposition in Final Value Optimal Control of the Maxwell System

Published online by Cambridge University Press:  15 August 2002

John E. Lagnese  and
G. Leugering
John E. Lagnese
Affiliation:
Department of Mathematics, Georgetown University, Washington, DC 20057, USA; lagnese@math.georgetown.edu.
G. Leugering
Affiliation:
Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgartenstrasse 7, 64289 Darmstadt, Germany; leugering@mathematik.tu-darmstadt.de.
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Abstract

We consider a boundary optimal control problem for the Maxwell system with a final value cost criterion. We introduce a time domain decomposition procedure for the corresponding optimality system which leads to a sequence of uncoupled optimality systems of local-in-time optimal control problems. In the limit full recovery of the coupling conditions is achieved, and, hence, the local solutions and controls converge to the global ones. The process is inherently parallel and is suitable for real-time control applications.

Keywords

Maxwell systemoptimal controldomain decomposition.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 8: A tribute to JL Lions , 2002 , pp. 775 - 799
Copyright
© EDP Sciences, SMAI, 2002

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