Iterative Method for Solving Parabolic Linear-Quadratic Optimal Control Problem with Constraints on the Time Derivative of the State

dc.contributor.author	Lapin A.
dc.contributor.author	Romanenko A.
dc.date.accessioned	2019-01-22T20:51:48Z
dc.date.available	2019-01-22T20:51:48Z
dc.date.issued	2018
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/149151
dc.description.abstract	© 2018, Pleiades Publishing, Ltd. We consider a linear-quadratic optimal control problem of a system governed by parabolic equation with distributed in right-hand side control and control in Neumann boundary condition. Pointwise constraints for control functions and for time derivative of the state function are imposed. We construct a mesh approximation of this problem using two different approximations of the objective functional. Iterative solution methods are investigated for the constructed approximations of the optimal control problems. Numerical results confirm the effectiveness of the proposed methods.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	constrained saddle point problem
dc.subject	finite difference method
dc.subject	iterative method
dc.subject	Parabolic optimal control
dc.subject	state constraints
dc.title	Iterative Method for Solving Parabolic Linear-Quadratic Optimal Control Problem with Constraints on the Time Derivative of the State
dc.type	Article
dc.relation.ispartofseries-issue	7
dc.relation.ispartofseries-volume	39
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	916
dc.source.id	SCOPUS19950802-2018-39-7-SID85053518282

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Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.