Optimal control of nonlinear evolution inclusions

Papageorgiou, NS

dc.contributor.author	Papageorgiou, NS	en
dc.date.accessioned	2014-03-01T01:08:05Z
dc.date.available	2014-03-01T01:08:05Z
dc.date.issued	1990	en
dc.identifier.issn	0022-3239	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10270
dc.subject	Arzela-Ascoli theorem	en
dc.subject	Caratheodory integrands	en
dc.subject	dense embedding	en
dc.subject	Evolution inclusions	en
dc.subject	monotone operators	en
dc.subject	parabolic systems	en
dc.subject	relaxed systems	en
dc.subject	support functions	en
dc.subject	transition probability	en
dc.subject.classification	Operations Research & Management Science	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Control Systems, Distributed Parameter	en
dc.subject.other	Mathematical Techniques - Topology	en
dc.subject.other	Optimization	en
dc.subject.other	Probability	en
dc.subject.other	Dense Embedding	en
dc.subject.other	Monotone Operators	en
dc.subject.other	Nonlinear Evolution Inclusions	en
dc.subject.other	Parabolic Systems	en
dc.subject.other	Relaxed Systems	en
dc.subject.other	Control Systems, Optimal	en
dc.title	Optimal control of nonlinear evolution inclusions	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00940479	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00940479	en
heal.language	English	en
heal.publicationDate	1990	en
heal.abstract	In this paper, we study the optimal control of nonlinear evolution inclusions. First, we prove the existence of admissible trajectories and then we show that the set that they form is relatively sequentially compact and in certain cases sequentially compact in an appropriate function space. Then, with the help of a convexity hypothesis and using Cesari's approach, we solve a general Lagrange optimal control problem. After that, we drop the convexity hypothesis and pass to the relaxed system, for which we prove the existence of optimal controls, we show that it has a value equal to that of the original one, and also we prove that the original trajectories are dense in an appropriate topology to the relaxed ones. Finally, we present an example of a nonlinear parabolic optimal control that illustrates the applicability of our results. © 1990 Plenum Publishing Corporation.	en
heal.publisher	Kluwer Academic Publishers-Plenum Publishers	en
heal.journalName	Journal of Optimization Theory and Applications	en
dc.identifier.doi	10.1007/BF00940479	en
dc.identifier.isi	ISI:A1990EK88000007	en
dc.identifier.volume	67	en
dc.identifier.issue	2	en
dc.identifier.spage	321	en
dc.identifier.epage	354	en