On the dependence of the solutions and optimal solutions of control problems on the control constraint set

Papageorgiou, NS

dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:08:27Z
dc.date.available	2014-03-01T01:08:27Z
dc.date.issued	1991	en
dc.identifier.issn	0022247X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10505
dc.subject	Control Problem	en
dc.subject	Optimal Solution	en
dc.title	On the dependence of the solutions and optimal solutions of control problems on the control constraint set	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/0022-247X(91)90247-W	en
heal.identifier.secondary	http://dx.doi.org/10.1016/0022-247X(91)90247-W	en
heal.publicationDate	1991	en
heal.abstract	In this paper we examine the dependence of the solutions and optimal solutions of a class of linear, infinite-dimensional control systems on the control constraint set. This is done using the weak and the Kuratowski-Mosco convergence of sets. First we establish some general facts about weakly convergent multifunctions. Then we prove some convergence theorems for the trajectories of certain control systems. We also derive a general relaxation theorem. Subsequently we pass to optimal control problems and prove various convergence results. We conclude with an example from parabolic control systems. © 1991.	en
heal.journalName	Journal of Mathematical Analysis and Applications	en
dc.identifier.doi	10.1016/0022-247X(91)90247-W	en
dc.identifier.volume	158	en
dc.identifier.issue	2	en
dc.identifier.spage	427	en
dc.identifier.epage	447	en