Time Domain Decomposition in Final Value Optimal Control of the Maxwell System
Department of Mathematics, Georgetown University, Washington, DC 20057,
2 Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgartenstrasse 7, 64289 Darmstadt, Germany; firstname.lastname@example.org.
Revised: 16 February 2002
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.
Mathematics Subject Classification: 65N55 / 49M27 / 35Q60
Key words: Maxwell system / optimal control / domain decomposition.
© EDP Sciences, SMAI, 2002