A convergence result for a sequence of distributed-parameter optimal control problems

Papageorgiou, NS

dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:08:12Z
dc.date.available	2014-03-01T01:08:12Z
dc.date.issued	1991	en
dc.identifier.issn	0022-3239	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10332
dc.subject	τ-convergence	en
dc.subject	G-convergence	en
dc.subject	Gelfand triple	en
dc.subject	parabolic systems	en
dc.subject	PG-convergence	en
dc.subject	strongly monotone operator	en
dc.subject.classification	Operations Research & Management Science	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Control Systems, Distributed Parameter	en
dc.subject.other	Mathematical Techniques - Applications	en
dc.subject.other	Convergence	en
dc.subject.other	Parabolic Systems	en
dc.subject.other	Control Systems, Optimal	en
dc.title	A convergence result for a sequence of distributed-parameter optimal control problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00941570	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00941570	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	In this paper, we consider a sequence of abstract optimal control problems by allowing the cost integrand, the partial differential operator, and the control constraint set all to vary simultaneously. Using the notions of τ-convergence of functions, G-convergence of operators, and Kuratowski-Mosco convergence of sets, we show that the values of the approximating problems converge to that of the limit problem. Also we show that a convergent sequence of optimal pairs for the approximating problems has a limit which is optimal for the limit problem. A concrete example of parabolic optimal control problems is worked out in detail. © 1991 Plenum Publishing Corporation.	en
heal.publisher	Kluwer Academic Publishers-Plenum Publishers	en
heal.journalName	Journal of Optimization Theory and Applications	en
dc.identifier.doi	10.1007/BF00941570	en
dc.identifier.isi	ISI:A1991EZ34000006	en
dc.identifier.volume	68	en
dc.identifier.issue	2	en
dc.identifier.spage	305	en
dc.identifier.epage	320	en