Minimax control of nonlinear evolution equations

Papageorgiou, NS; Yannakakis, N

dc.contributor.author	Papageorgiou, NS	en
dc.contributor.author	Yannakakis, N	en
dc.date.accessioned	2014-03-01T01:18:03Z
dc.date.available	2014-03-01T01:18:03Z
dc.date.issued	2002	en
dc.identifier.issn	0096-3003	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14773
dc.subject	Adjoint equation	en
dc.subject	Compact embedding	en
dc.subject	Duality theory	en
dc.subject	Evolution triple	en
dc.subject	G-convergence	en
dc.subject	Minimax optimization problem	en
dc.subject	Monotone operator	en
dc.subject	Optimal control	en
dc.subject	Saddle point	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	INTEGRAL FUNCTIONALS	en
dc.subject.other	G-CONVERGENCE	en
dc.subject.other	INCLUSIONS	en
dc.subject.other	OPERATORS	en
dc.subject.other	SYSTEMS	en
dc.title	Minimax control of nonlinear evolution equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/S0096-3003(01)00122-9	en
heal.identifier.secondary	http://dx.doi.org/10.1016/S0096-3003(01)00122-9	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	In this paper we study nonlinear parametric optimal control problems: We formulate the relevant minimax problem and prove the existence of an optimal control. Also we derive necessary conditions for saddle point optimality. We also associate to the original optimization problem a dual problem and then for the pair we prove a complete duality theorem. Finally we present two examples of parabolic distributed parameter systems, which illustrate the abstract results. (C) 2002 Published by Elsevier Science Inc.	en
heal.publisher	ELSEVIER SCIENCE INC	en
heal.journalName	Applied Mathematics and Computation	en
dc.identifier.doi	10.1016/S0096-3003(01)00122-9	en
dc.identifier.isi	ISI:000177595500006	en
dc.identifier.volume	131	en
dc.identifier.issue	2-3	en
dc.identifier.spage	271	en
dc.identifier.epage	297	en