Numerical approximation of nonconvex optimal control problems defined by parabolic equations

Chryssoverghi, I

dc.contributor.author	Chryssoverghi, I	en
dc.date.accessioned	2014-03-01T01:06:26Z
dc.date.available	2014-03-01T01:06:26Z
dc.date.issued	1985	en
dc.identifier.issn	0022-3239	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9383
dc.subject	approximations	en
dc.subject	descent methods	en
dc.subject	nonconvexity	en
dc.subject	Optimal control	en
dc.subject	parabolic systems	en
dc.subject	relaxed controls	en
dc.subject	relaxed minimum principle	en
dc.subject.classification	Operations Research & Management Science	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	CONTROL SYSTEMS, DISTRIBUTED PARAMETER - Theory	en
dc.subject.other	MATHEMATICAL TECHNIQUES - Numerical Methods	en
dc.subject.other	CONVERGENCE	en
dc.subject.other	DESCENT METHODS	en
dc.subject.other	NONCONVEX OPTIMAL CONTROL PROBLEMS	en
dc.subject.other	NUMERICAL APPROXIMATION	en
dc.subject.other	PARABOLIC EQUATIONS	en
dc.subject.other	CONTROL SYSTEMS, OPTIMAL	en
dc.title	Numerical approximation of nonconvex optimal control problems defined by parabolic equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00940814	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00940814	en
heal.language	English	en
heal.publicationDate	1985	en
heal.abstract	In this paper, we consider an optimal control problem for distributed systems governed by parabolic equations. The state equations are nonlinear in the control variable; the constraints and the cost functional are generally nonconvex. Relaxed controls are used to prove existence and derive necessary conditions for optimality. To compute optimal controls, a descent method is applied to the resulting relaxed problem. A numerical method is also given for approximating a special class of relaxed controls, notably those obtained by the descent method. Convergence proofs are given for both methods, and a numerical example is provided. © 1985 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/BF00940814	en
dc.identifier.isi	ISI:A1985ACY7400006	en
dc.identifier.volume	45	en
dc.identifier.issue	1	en
dc.identifier.spage	73	en
dc.identifier.epage	88	en