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	2014-03-01T01:16:45Z
dc.date.available	2014-03-01T01:16:45Z
dc.date.issued	2001	en
dc.identifier.issn	0022-247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14196
dc.subject	Evolution triple	en
dc.subject	compact embedding	en
dc.subject	monotone operator	en
dc.subject	G-convergence	en
dc.subject	minimax optimization problem	en
dc.subject	optimal control	en
dc.subject	saddle point	en
dc.subject	adjoint equation	en
dc.subject	duality theory	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	INTEGRAL FUNCTIONALS	en
dc.subject.other	G-CONVERGENCE	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	10.1006/jmaa.2000.7424	en
heal.identifier.secondary	http://dx.doi.org/10.1006/jmaa.2000.7424	en
heal.language	English	en
heal.publicationDate	2001	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) 2001 Academic Press.	en
heal.publisher	ACADEMIC PRESS INC	en
heal.journalName	Journal of Mathematical Analysis and Applications	en
dc.identifier.doi	10.1006/jmaa.2000.7424	en
dc.identifier.isi	ISI:000169946900014	en
dc.identifier.volume	259	en
dc.identifier.issue	2	en
dc.identifier.spage	509	en
dc.identifier.epage	536	en