Time domain decomposition in final value optimal control of the Maxwell system

John E. Lagnese; G. Leugering

ESAIM: Control, Optimisation and Calculus of Variations (2002)

  • Volume: 8, page 775-799
  • ISSN: 1292-8119

Abstract

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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.

How to cite

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Lagnese, John E., and Leugering, G.. "Time domain decomposition in final value optimal control of the Maxwell system." ESAIM: Control, Optimisation and Calculus of Variations 8 (2002): 775-799. <http://eudml.org/doc/244606>.

@article{Lagnese2002,
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.},
author = {Lagnese, John E., Leugering, G.},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Maxwell system; optimal control; domain decomposition},
language = {eng},
pages = {775-799},
publisher = {EDP-Sciences},
title = {Time domain decomposition in final value optimal control of the Maxwell system},
url = {http://eudml.org/doc/244606},
volume = {8},
year = {2002},
}

TY - JOUR
AU - Lagnese, John E.
AU - Leugering, G.
TI - Time domain decomposition in final value optimal control of the Maxwell system
JO - ESAIM: Control, Optimisation and Calculus of Variations
PY - 2002
PB - EDP-Sciences
VL - 8
SP - 775
EP - 799
AB - 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.
LA - eng
KW - Maxwell system; optimal control; domain decomposition
UR - http://eudml.org/doc/244606
ER -

References

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