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On time optimal control of the wave equation, its regularization and optimality system∗

Published online by Cambridge University Press:  21 June 2012

Karl Kunisch  and
Daniel Wachsmuth
Karl Kunisch
Affiliation:
Institute for Mathematics and Scientific Computing, Heinrichstraße 36, 8010 Graz, Austria. karl.kunisch@uni-graz.at; http://www.kfunigraz.ac.at/imawww/kunisch
Daniel Wachsmuth
Affiliation:
Institute for Mathematics and Scientific Computing, Heinrichstraße 36, 8010 Graz, Austria. karl.kunisch@uni-graz.at; http://www.kfunigraz.ac.at/imawww/kunisch
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Abstract

An approximation procedure for time optimal control problems for the linear wave equation is analyzed. Its asymptotic behavior is investigated and an optimality system including the maximum principle and the transversality conditions for the regularized and unregularized problems are derived.

Keywords

Time optimal controlwave equationoptimality conditiontransversality condition
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 19 , Issue 2 , April 2013 , pp. 317 - 336
Copyright
© EDP Sciences, SMAI, 2012

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