Optimal control, sensitivity analysis and relaxation of maximal monotone integrodifferential inclusions in RN

Papageorgiou, NS

dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:09:29Z
dc.date.available	2014-03-01T01:09:29Z
dc.date.issued	1993	en
dc.identifier.issn	00315303	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11024
dc.subject	Hereditary system	en
dc.subject	integrodifferential inclusion	en
dc.subject	Mathematics subject classification numbers, 1991: Primary 49A20	en
dc.subject	maximal monotone operator	en
dc.subject	R-convergence	en
dc.subject	relaxability performance stability	en
dc.subject	relaxed system	en
dc.title	Optimal control, sensitivity analysis and relaxation of maximal monotone integrodifferential inclusions in RN	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF01875991	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF01875991	en
heal.publicationDate	1993	en
heal.abstract	In this paper we examine optimal control problems governed by maximal monotone integrodifferential inclusions in RN. First we establish the existence of an optimal control. Then we show that the value of the problem depends continuously on a parameter appearing in all the data. Then we introduce the relaxed system, we show that under very general hypotheses it has a solution and that its value equals that of the original problem. Subsequently we show that relaxability and performance stability are equivalent concepts. Finally we specialize our results to the class of controlled differential variational inequalities. © 1993 Akadémiai Kiadó, Budapest.	en
heal.publisher	Kluwer Academic Publishers	en
heal.journalName	Periodica Mathematica Hungarica	en
dc.identifier.doi	10.1007/BF01875991	en
dc.identifier.volume	27	en
dc.identifier.issue	3	en
dc.identifier.spage	155	en
dc.identifier.epage	175	en