КФУ. Карточка публикации. Explicit algorithms to solve a class of state constrained parabolic optimal control problems

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EXPLICIT ALGORITHMS TO SOLVE A CLASS OF STATE CONSTRAINED PARABOLIC OPTIMAL CONTROL PROBLEMS

Форма представления

Статьи в российских журналах и сборниках

Год публикации

2015

Язык

английский

Авторы, сотрудники КФУ

Лапин Александр Васильевич, автор

Другие авторы

Laitinen Erkki Uhani, автор

Библиографическое описание на языке оригинала

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.

Аннотация

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.

Ключевые слова

optimal control, nite di erence method, constrained saddle point problem, iterative method

Название журнала

Russian Journal of numerical analysis and mathematical modelling

Ссылка для РПД

http://dspace.kpfu.ru/xmlui/bitstream/handle/net/34211/Lala.pdf?sequence=1&isAllowed=y

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https://repository.kpfu.ru/?p_id=125802

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Lala.pdf	0,23	pdf	посмотреть / скачать

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Лапин Александр Васильевич	ru_RU
dc.contributor.author	Laitinen Erkki Uhani	ru_RU
dc.date.accessioned	2015-01-01T00:00:00Z	ru_RU
dc.date.available	2015-01-01T00:00:00Z	ru_RU
dc.date.issued	2015	ru_RU
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.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=125802	ru_RU
dc.description.abstract	Russian Journal of numerical analysis and mathematical modelling	ru_RU
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.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	optimal control	ru_RU
dc.subject	nite di erence method	ru_RU
dc.subject	constrained saddle point problem	ru_RU
dc.subject	iterative method	ru_RU
dc.title	Explicit algorithms to solve a class of state constrained parabolic optimal control problems	ru_RU
dc.type	Статьи в российских журналах и сборниках	ru_RU