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Time Domain Decomposition in Final Value Optimal Controlof 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 afinal value cost criterion. We introduce a time domain decomposition procedurefor the corresponding optimality system which leads to a sequence ofuncoupled optimality systems of local-in-time optimal control problems. Inthe limit full recovery of the coupling conditions is achieved, and, hence,the local solutions and controls converge to the global ones. The process isinherently parallel and is suitable for real-time control applications.

Keywords

Maxwell systemoptimal controldomain decomposition.

Information

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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