OPTIMAL CONTROL PROBLEM OF SOME DIFFERENTIAL INCLUSION AND APPROXIMATION

OPTIMAL CONTROL PROBLEM OF SOME DIFFERENTIAL INCLUSION AND APPROXIMATION

In this paper we present the optimal control problem governed by a variational inclusion with the monotone operator and a quadratic costfunctional. We apply standart Galerkin method to the approximation of the problem. After giving some results on the existance of optimal control we shall prove the...

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Main Authors: DEBINSKA-NAGORSKA A., JUST A., STEMPIEN Z., WOZNICA K.
Format: Article
Language:English
Published: Petrozavodsk State University 2002-01-01
Series:Проблемы анализа
Online Access:http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=1969
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spelling doaj-7cca260dfd214a1b9410cc75039e412e2021-07-02T09:12:46ZengPetrozavodsk State UniversityПроблемы анализа2306-34242306-34322002-01-0192002619OPTIMAL CONTROL PROBLEM OF SOME DIFFERENTIAL INCLUSION AND APPROXIMATIONDEBINSKA-NAGORSKA A.JUST A.STEMPIEN Z. WOZNICA K.In this paper we present the optimal control problem governed by a variational inclusion with the monotone operator and a quadratic costfunctional. We apply standart Galerkin method to the approximation of the problem. After giving some results on the existance of optimal control we shall prove the existance of weak condensation points of a set of solution of approximate problems. Each of these points is a solution of the initial optimization problem. Finally we shall give a simple example using the obtaned results.http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=1969
collection DOAJ
language English
format Article
sources DOAJ
author DEBINSKA-NAGORSKA A.
JUST A.
STEMPIEN Z.
WOZNICA K.
spellingShingle DEBINSKA-NAGORSKA A.
JUST A.
STEMPIEN Z.
WOZNICA K.
OPTIMAL CONTROL PROBLEM OF SOME DIFFERENTIAL INCLUSION AND APPROXIMATION
Проблемы анализа
author_facet DEBINSKA-NAGORSKA A.
JUST A.
STEMPIEN Z.
WOZNICA K.
author_sort DEBINSKA-NAGORSKA A.
title OPTIMAL CONTROL PROBLEM OF SOME DIFFERENTIAL INCLUSION AND APPROXIMATION
title_short OPTIMAL CONTROL PROBLEM OF SOME DIFFERENTIAL INCLUSION AND APPROXIMATION
title_full OPTIMAL CONTROL PROBLEM OF SOME DIFFERENTIAL INCLUSION AND APPROXIMATION
title_fullStr OPTIMAL CONTROL PROBLEM OF SOME DIFFERENTIAL INCLUSION AND APPROXIMATION
title_full_unstemmed OPTIMAL CONTROL PROBLEM OF SOME DIFFERENTIAL INCLUSION AND APPROXIMATION
title_sort optimal control problem of some differential inclusion and approximation
publisher Petrozavodsk State University
series Проблемы анализа
issn 2306-3424
2306-3432
publishDate 2002-01-01
description In this paper we present the optimal control problem governed by a variational inclusion with the monotone operator and a quadratic costfunctional. We apply standart Galerkin method to the approximation of the problem. After giving some results on the existance of optimal control we shall prove the existance of weak condensation points of a set of solution of approximate problems. Each of these points is a solution of the initial optimization problem. Finally we shall give a simple example using the obtaned results.
url http://issuesofanalysis.petrsu.ru/article/genpdf.php?id=1969
work_keys_str_mv AT debinskanagorskaa optimalcontrolproblemofsomedifferentialinclusionandapproximation
AT justa optimalcontrolproblemofsomedifferentialinclusionandapproximation
AT stempienz optimalcontrolproblemofsomedifferentialinclusionandapproximation
AT woznicak optimalcontrolproblemofsomedifferentialinclusionandapproximation
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