On the optimal control and relaxation of finite dimensional systems driven by maximal monotone differential inclusions

Papageorgio, NS

dc.contributor.author	Papageorgio, NS	en
dc.date.accessioned	2014-03-01T01:08:28Z
dc.date.available	2014-03-01T01:08:28Z
dc.date.issued	1991	en
dc.identifier.issn	0370-2529	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10509
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-0026394488&partnerID=40&md5=0d565fdb7aa9de8249bc5cf43eea51ec	en
dc.subject	MONOTONE OPERATOR	en
dc.subject	ORIENTOR FIELD	en
dc.subject	OPTIMAL PAIR	en
dc.subject	MINIMIZING SEQUENCE	en
dc.subject	TRANSITION PROBABILITIES	en
dc.subject	RELAXED SYSTEM	en
dc.subject	SELECTION THEOREM	en
dc.subject	HAUSDORFF METRIC	en
dc.subject	DENSITY RESULT	en
dc.subject	RELAXABILITY	en
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Computer Science, Information Systems	en
dc.subject.other	Mathematical Techniques--Numerical Analysis	en
dc.subject.other	Relaxation Processes	en
dc.subject.other	Finite Dimensional Systems	en
dc.subject.other	Monotone Differential Inclusions	en
dc.subject.other	Control Systems, Optimal	en
dc.title	On the optimal control and relaxation of finite dimensional systems driven by maximal monotone differential inclusions	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	In this paper we examine finite dimensional optimal control problems driven by maximal monotone differential inclusions and having state dependent control constraints. First, with the help of a convexity hypothesis, we prove the existence of optimal admissible pairs. Then we drop convexity hypothesis and we look at the relaxed system. For that system we establish the existence of optimal solutions under minimal hypotheses. Finally, by strengthening our hypotheses we show that the original trajectories are dense in the relaxed ones for the topology of uniform convergence and that the two problems relaxed and original have the same value.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Problems of control and information theory	en
dc.identifier.isi	ISI:A1991GT74800001	en
dc.identifier.volume	20	en
dc.identifier.issue	4	en
dc.identifier.spage	245	en
dc.identifier.epage	255	en