Discrete approximation of nonconvex hyperbolic optimal control problems with state constraints

Chryssoverghi, I; Bacopoulos, A; Coletsos, J; Kokkinis, B

dc.contributor.author	Chryssoverghi, I	en
dc.contributor.author	Bacopoulos, A	en
dc.contributor.author	Coletsos, J	en
dc.contributor.author	Kokkinis, B	en
dc.date.accessioned	2014-03-01T01:13:42Z
dc.date.available	2014-03-01T01:13:42Z
dc.date.issued	1998	en
dc.identifier.issn	0324-8569	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/12663
dc.relation.uri	http://www.scopus.com/inward/record.url?eid=2-s2.0-3042962644&partnerID=40&md5=023ae8afd9d56b13aad6980ae267eb0e	en
dc.subject	Discretization	en
dc.subject	Existence theory	en
dc.subject	Minimum principle	en
dc.subject	Nonlinear hyperbolic systems	en
dc.subject	Optimal control	en
dc.subject	Relaxed controls	en
dc.subject.classification	Automation & Control Systems	en
dc.subject.classification	Computer Science, Cybernetics	en
dc.subject.other	MAXIMUM PRINCIPLE	en
dc.subject.other	SYSTEMS	en
dc.title	Discrete approximation of nonconvex hyperbolic optimal control problems with state constraints	en
heal.type	journalArticle	en
heal.language	English	en
heal.publicationDate	1998	en
heal.abstract	We consider an optimal control problem for systems defined by nonlinear hyperbolic partial differential equations with state constraints. Since no convexity assumptions are made on the data, we also consider the control problem in relaxed form. We discretize both the classical and the relaxed problems by using a finite element method in space and a finite difference scheme in time, the controls being approximated by piecewise constant ones. We develop the existence theory and the necessary conditions for optimality, for the continuous and the discrete problems. Finally, we study the behaviour in the limit of discrete optimality, admissibility and extremality properties.	en
heal.publisher	POLISH ACAD SCIENCES SYSTEMS RESEARCH INST	en
heal.journalName	Control and Cybernetics	en
dc.identifier.isi	ISI:000074981900002	en
dc.identifier.volume	27	en
dc.identifier.issue	1	en
dc.identifier.spage	28	en
dc.identifier.epage	50	en