Relation between relaxability and performance stability for optimal control problems governed by non-linear evolution equations

Papageorgiou Nikolaos, S

dc.contributor.author	Papageorgiou Nikolaos, S	en
dc.date.accessioned	2014-03-01T01:08:31Z
dc.date.available	2014-03-01T01:08:31Z
dc.date.issued	1991	en
dc.identifier.issn	0020-7721	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10547
dc.subject	Evolution Equation	en
dc.subject	Optimal Control Problem	en
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Computer Science, Theory & Methods	en
dc.subject.classification	Operations Research & Management Science	en
dc.subject.other	Control Systems, Nonlinear	en
dc.subject.other	Mathematical Techniques - Convergence of Numerical Methods	en
dc.subject.other	Optimal Control Performance Stability	en
dc.subject.other	Relaxability	en
dc.subject.other	Well-Posedness	en
dc.subject.other	Control Systems, Optimal	en
dc.title	Relation between relaxability and performance stability for optimal control problems governed by non-linear evolution equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1080/00207729108910608	en
heal.identifier.secondary	http://dx.doi.org/10.1080/00207729108910608	en
heal.language	English	en
heal.publicationDate	1991	en
heal.abstract	We establish an equivalence between notions of relaxability and well-posedness (stability) in the sense of performance criterion convergence for a large class of non-linear control systems with state and control constraints. We thereby obtain some intermediate results of independent interest, such as existence and closure theorems for the relaxed system and a density result of the original trajectories into the set of relaxed ones. The example of a parabolic system is formulated in detail.	en
heal.publisher	TAYLOR & FRANCIS LTD	en
heal.journalName	International Journal of Systems Science	en
dc.identifier.doi	10.1080/00207729108910608	en
dc.identifier.isi	ISI:A1991EV62800002	en
dc.identifier.volume	22	en
dc.identifier.issue	2	en
dc.identifier.spage	237	en
dc.identifier.epage	259	en