Discrete relaxed method for semilinear parabolic optimal control problems

Chryssoverghi, I; Coletsos, J; Kokkinis, B

dc.contributor.author	Chryssoverghi, I	en
dc.contributor.author	Coletsos, J	en
dc.contributor.author	Kokkinis, B	en
dc.date.accessioned	2014-03-01T01:14:31Z
dc.date.available	2014-03-01T01:14:31Z
dc.date.issued	1999	en
dc.identifier.issn	0324-8569	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13121
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-18544396285&partnerID=40&md5=c6c0e1e137a5248651ca56f8a79ade0b	en
dc.subject	Discretization	en
dc.subject	Optimal control	en
dc.subject	Penalty method	en
dc.subject	Relaxed controls	en
dc.subject	Semilinear parabolic systems	en
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Computer Science, Cybernetics	en
dc.subject.other	NONCONVEX OPTIMAL-CONTROL	en
dc.subject.other	APPROXIMATION	en
dc.title	Discrete relaxed method for semilinear parabolic optimal control problems	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1999	en
heal.abstract	We consider an optimal control problem for systems governed by semilinear parabolic partial differential equations with control and state constraints, without any convexity assumptions. A discrete optimization method is proposed to solve this problem in its relaxed form which combines a penalized Armijo type method with a finite element discretization and constructs sequences of discrete Gamkrelidze relaxed controls. Under appropriate assumptions, we prove that accumulation points of these sequences satisfy the relaxed Pontryagin necessary conditions for optimality. Moreover, we show that the Gamkrelidze controls thus generated can be replaced by simulating piecewise constant classical controls.	en
heal.publisher	POLISH ACAD SCIENCES SYSTEMS RESEARCH INST	en
heal.journalName	Control and Cybernetics	en
dc.identifier.isi	ISI:000089863800001	en
dc.identifier.volume	28	en
dc.identifier.issue	2	en
dc.identifier.spage	X	en
dc.identifier.epage	176	en