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Title: On the existence of optimal controls for nonlinear infinite dimensional systems  (English)
Author: Fiacca, Antonella
Author: Papageorgiou, Nikolaos S.
Author: Papalini, Francesca
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642
Volume: 48
Issue: 2
Year: 1998
Pages: 291-312
Summary lang: English
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Category: math
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Summary: We consider nonlinear systems with a priori feedback. We establish the existence of admissible pairs and then we show that the Lagrange optimal control problem admits an optimal pair. As application we work out in detail two examples of optimal control problems for nonlinear parabolic partial differential equations.
Keyword: evolution triple
Keyword: optimal control
Keyword: monotone operator
Keyword: hemicontinuous operator
Keyword: parabolic system
Keyword: property $(Q)$
MSC: 34G20
MSC: 34H05
MSC: 47N20
MSC: 49J25
MSC: 49J27
idZBL: Zbl 0955.34049
idMR: MR1624323
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Date available: 2009-09-24T10:13:29Z
Last updated: 2012-05-31
Stable URL: http://hdl.handle.net/10338.dmlcz/127417
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