On the optimal control and relaxation of nonlinear infinite dimensional systems

Papageorgiou, N

dc.contributor.author	Papageorgiou, N	en
dc.date.accessioned	2014-03-01T01:39:32Z
dc.date.available	2014-03-01T01:39:32Z
dc.date.issued	1989	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/22865
dc.subject	Infinite Dimensional System	en
dc.subject	Linear System	en
dc.subject	Optimal Control	en
dc.subject	Optimal Control Problem	en
dc.subject	Optimization Problem	en
dc.subject	Partial Differential Equation	en
dc.subject	semilinear evolution equations	en
dc.title	On the optimal control and relaxation of nonlinear infinite dimensional systems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01790352	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01790352	en
heal.publicationDate	1989	en
heal.abstract	Summary In this paper we study optimal control problems for infinite dimensional systems governed by a semilinear evolution equation. First under appropriate convexity and growth conditions, we establish the existence of optimal pairs. Then we drop the convexity hypothesis and we pass to a larger system known as the « relaxed system ». We show that this system has a	en
heal.journalName	Annali Di Matematica Pura Ed Applicata	en
dc.identifier.doi	10.1007/BF01790352	en