Approximation of relaxed nonlinear parabolic optimal control problems

Chryssoverghi, I; Bacopoulos, A

dc.contributor.author	Chryssoverghi, I	en
dc.contributor.author	Bacopoulos, A	en
dc.date.accessioned	2014-03-01T01:09:18Z
dc.date.available	2014-03-01T01:09:18Z
dc.date.issued	1993	en
dc.identifier.issn	0022-3239	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/10891
dc.subject	approximation	en
dc.subject	discretization	en
dc.subject	distributed systems	en
dc.subject	nonlinear parabolic systems	en
dc.subject	Optimal control	en
dc.subject	relaxed controls	en
dc.subject.classification	Operations Research & Management Science	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Algorithms	en
dc.subject.other	Approximation theory	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Differential equations	en
dc.subject.other	Finite element method	en
dc.subject.other	Mathematical models	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Piecewise linear techniques	en
dc.subject.other	Relaxation processes	en
dc.subject.other	Discretization	en
dc.subject.other	Nonlinear parabolic partial differential equations	en
dc.subject.other	Relaxed controls	en
dc.subject.other	Optimal control systems	en
dc.title	Approximation of relaxed nonlinear parabolic optimal control problems	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00940778	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00940778	en
heal.language	English	en
heal.publicationDate	1993	en
heal.abstract	We consider a relaxed optimal control problem for systems defined by nonlinear parabolic partial differential equations with distributed control. The problem is completely discretized by using a finite-element approximation scheme with piecewise linear states and piecewise constant controls. Existence of optimal controls and necessary conditions for optimality are derived for both the continuous and the discrete problem. We then prove that accumulation points of sequences of discrete optimal [resp. extremal] controls are optimal [resp. extremal] for the continuous problem. © 1993 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/BF00940778	en
dc.identifier.isi	ISI:A1993LH84400002	en
dc.identifier.volume	77	en
dc.identifier.issue	1	en
dc.identifier.spage	31	en
dc.identifier.epage	50	en