Optimal control problems for a class of nonlinear evolution equations

Halidias, N; Papageorgiou, NS

dc.contributor.author	Halidias, N	en
dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:18:10Z
dc.date.available	2014-03-01T01:18:10Z
dc.date.issued	2002	en
dc.identifier.issn	00315303	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14839
dc.subject	Adjoint equation	en
dc.subject	Compact embedding	en
dc.subject	Ekeland variational principle	en
dc.subject	Evolution triple	en
dc.subject	Feedback system	en
dc.subject	Maximum principle	en
dc.subject	Measurable selection	en
dc.subject	Property Q	en
dc.subject	Pseudomonotone operator	en
dc.subject	Reduction technique	en
dc.subject	Terminal cost functional	en
dc.title	Optimal control problems for a class of nonlinear evolution equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/A:1022393812748	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1022393812748	en
heal.publicationDate	2002	en
heal.abstract	In this paper we study optimal control problems for systems governed by nonlinear evolution equations. First we develop an existence theory for systems with a priori feedback using the reduction technique and a convexity-type hypothesis involving property Q. In doing this we also establish the nonemptiness of the set of admissible state-control pairs, by solving a nonlinear evolution inclusion. Then we obtain necessary conditions for optimality for a class of problems with terminal cost criterion and initial condition which is not a priori given but is only required to belong to a given set (systems with insufficient data in the terminology of Lions). © Akadémiai Kiadó.	en
heal.journalName	Periodica Mathematica Hungarica	en
dc.identifier.doi	10.1023/A:1022393812748	en
dc.identifier.volume	45	en
dc.identifier.issue	1-2	en
dc.identifier.spage	43	en
dc.identifier.epage	63	en