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Explicit algorithms to solve a class of state constrained parabolic optimal control problems

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dc.contributor Казанский федеральный университет
dc.contributor.author Lapin Alexander Vasilevich
dc.contributor.author Laitinen Erkki Uhani
dc.date.accessioned 2016-02-17T06:54:22Z
dc.date.available 2016-02-17T06:54:22Z
dc.date.issued 2015
dc.identifier.citation A.Lapin, E.Laitinen, S.Lapin. Explicit algorithms to solve a class of state constrained parabolic optimal control problems// Russian Journal of numerical analysis and mathematical modelling - 2015 - V.30, N0 6 - P. 351-362.
dc.identifier.issn
dc.identifier.uri http://dspace.kpfu.ru/xmlui/handle/net/34211
dc.description.abstract We consider an optimal control problem of a system governed by a linear parabolic equation with the following features: control is dis-tributed, observation is either distributed or nal, there are constraints on the state function and on its time derivative. Iterative solution methods are proposed and investigated for the nite di erence ap-proximations of these optimal control problems. Due to explicit in time approximation of the state equation and the appropriate choice of the preconditioners in the iterative methods, the implementation of all constructed methods is carried out by explicit formulaes. Computational experiments con rm the theoretical results.
dc.language.iso en
dc.relation.ispartofseries Russian Journal of numerical analysis and mathematical modelling
dc.rights открытый доступ
dc.subject optimal control
dc.subject nite di erence method
dc.subject constrained saddle point problem
dc.subject iterative method
dc.subject.other Математика
dc.title Explicit algorithms to solve a class of state constrained parabolic optimal control problems
dc.type Article
dc.contributor.org Институт вычислительной математики и информационных технологий
dc.description.pages
dc.relation.ispartofseries-issue 6
dc.relation.ispartofseries-volume 30
dc.pub-id 125802


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