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

¹ Department of Mathematics, Georgetown University, Washington, DC 20057, USA; lagnese@math.georgetown.edu.
² Fachbereich Mathematik, Technische Universität Darmstadt, Schlossgartenstrasse 7, 64289 Darmstadt, Germany; leugering@mathematik.tu-darmstadt.de.

Received: 17 December 2001
Revised: 16 February 2002

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.