ON PARAMETRIC EVOLUTION INCLUSIONS OF THE SUBDIFFERENTIAL TYPE WITH APPLICATIONS TO OPTIMAL-CONTROL PROBLEMS

PAPAGEORGIOU, NS

dc.contributor.author	PAPAGEORGIOU, NS	en
dc.date.accessioned	2014-03-01T01:44:02Z
dc.date.available	2014-03-01T01:44:02Z
dc.date.issued	1995	en
dc.identifier.issn	0002-9947	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/24258
dc.subject	SUBDIFFERENTIAL	en
dc.subject	STRONG SOLUTION	en
dc.subject	G-CONVERGENCE	en
dc.subject	MOSCO CONVERGENCE	en
dc.subject	VIETORIS TOPOLOGY	en
dc.subject	HAUSDORFF METRIC	en
dc.subject	OPTIMAL CONTROL PROBLEM	en
dc.subject	OBSTACLE PROBLEM DIFFERENTIAL VARIATIONAL INEQUALITY	en
dc.subject.classification	Mathematics	en
dc.subject.other	DIFFERENTIAL-EQUATIONS	en
dc.subject.other	SPACES	en
dc.title	ON PARAMETRIC EVOLUTION INCLUSIONS OF THE SUBDIFFERENTIAL TYPE WITH APPLICATIONS TO OPTIMAL-CONTROL PROBLEMS	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1995	en
heal.abstract	In this paper we study parametric evolution inclusions of the subdifferential type and their applications to the sensitivity analysis of nonlinear, infinite dimensional optimal control problems. The parameter appears in all the data of the problem, including the subdifferential operator. First we establish several continuity results for the solution multifunction of the subdifferential inclusion. Then we study how these results can be used to examine the sensitivity properties (variational stability) of certain broad classes of nonlinear infinite dimensional optimal control problems. Some examples are worked out in detail, illustrating the applicability of our work. These include obstacle problems (with time varying obstacles), optimal control of distributed parameter systems, and differential variational inequalities.	en
heal.publisher	AMER MATHEMATICAL SOC	en
heal.journalName	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY	en
dc.identifier.isi	ISI:A1995QF09600012	en
dc.identifier.volume	347	en
dc.identifier.issue	1	en
dc.identifier.spage	203	en
dc.identifier.epage	231	en