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Nonconvex optimal control of nonlinear monotone parabolic systems

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dc.contributor.author Chryssoverghi, I en
dc.date.accessioned 2014-03-01T01:06:38Z
dc.date.available 2014-03-01T01:06:38Z
dc.date.issued 1986 en
dc.identifier.issn 01676911 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/9518
dc.subject Existence theory en
dc.subject Minimum principle en
dc.subject Nonconvexity en
dc.subject Nonlinear parabolic systems en
dc.subject Relaxed controls en
dc.subject.other CONTROL SYSTEMS, NONLINEAR - Optimization en
dc.subject.other CONTROL SYSTEMS, OPTIMAL - Theory en
dc.subject.other MATHEMATICAL TECHNIQUES - Differential Equations en
dc.subject.other MINIMUM PRINCIPLE en
dc.subject.other NONCONVEX OPTIMAL CONTROL en
dc.subject.other NONLINEAR PARABOLIC SYSTEMS en
dc.subject.other RELAXED CONTROLS en
dc.subject.other CONTROL SYSTEMS, DISTRIBUTED PARAMETER en
dc.title Nonconvex optimal control of nonlinear monotone parabolic systems en
heal.type journalArticle en
heal.identifier.primary 10.1016/0167-6911(86)90030-7 en
heal.identifier.secondary http://dx.doi.org/10.1016/0167-6911(86)90030-7 en
heal.publicationDate 1986 en
heal.abstract An optimal control problem is studied for distributed systems governed by nonlinear parabolic PDE's with state constraints. The state equation is monotone in the state variable and nonlinear in the control variable. The constraints and the cost functional are not necessarily convex. Relaxed controls are used to prove the existence of an optimal control. Moreover, a minimum principle of relaxed optimality is established. © 1986. en
heal.journalName Systems and Control Letters en
dc.identifier.doi 10.1016/0167-6911(86)90030-7 en
dc.identifier.volume 8 en
dc.identifier.issue 1 en
dc.identifier.spage 55 en
dc.identifier.epage 62 en


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