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Numerical approximation of nonconvex optimal control problems defined by parabolic equations

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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


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