Problem of impulsive regulator for one dynamical system of the Sobolev type

We establish conditions for the existence of an optimal impulsive control for an implicit operator differential equation with quadratic cost functional. The results obtained are applied to the filtration problem.

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Bibliographic Details
Date:2008
Main Authors: Vlasenko, L. A., Rutkas, A. G., Samoilenko, A. M., Власенко, Л. А., Руткас, А. Г., Самойленко, А. М.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2008
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3220
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:We establish conditions for the existence of an optimal impulsive control for an implicit operator differential equation with quadratic cost functional. The results obtained are applied to the filtration problem.