Existence theory for nonlinear distributed parameter optimal control problems

Papageorgiou, NS

dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:11:01Z
dc.date.available	2014-03-01T01:11:01Z
dc.date.issued	1995	en
dc.identifier.issn	09167005	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11523
dc.subject	admissible pair	en
dc.subject	evolution inclusion	en
dc.subject	obstacle problem	en
dc.subject	optimal pair	en
dc.subject	property (Q)	en
dc.subject	strong solution	en
dc.subject	subdifferential	en
dc.subject	variational inequality	en
dc.title	Existence theory for nonlinear distributed parameter optimal control problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF03167239	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF03167239	en
heal.publicationDate	1995	en
heal.abstract	In this paper we develop the existence theory for a class of nonlinear, infinite demensional optimal control problems, with a priori feedback. This is achieved with the help of property (Q) of Cesari. First we provide verifiable conditions on the data, which guarantee the validity of property (Q). Then we prove two results on the nonemptiness of the set of admissible pairs. This is done by solving an appropriate evolution inclusion of the subdifferential type. Subsequently, we use the reduction technique to prove the existence of optimal pairs. Finally we work in detail four examples illustrating the applicability of our work. These examples include systems governed by both ordinary and partial differential equations. © 1995 JJIAM Publishing Committee.	en
heal.journalName	Japan Journal of Industrial and Applied Mathematics	en
dc.identifier.doi	10.1007/BF03167239	en
dc.identifier.volume	12	en
dc.identifier.issue	3	en
dc.identifier.spage	457	en
dc.identifier.epage	485	en