Optimization of a system of linear differential equations with random coefficients

We consider a system of differential equations with controls that are linearly contained in the right-hand sides. We establish a necessary condition for the optimal control that minimizes a quadratic functional.

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Bibliographic Details
Date:1999
Main Authors: Valeyev, K. G., Dzhalladova, I. A., Валеев, К. Г., Джалладова, И. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1999
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/4640
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Valeyev, K. G.
Dzhalladova, I. A.
Валеев, К. Г.
Джалладова, И. А.
Валеев, К. Г.
Джалладова, И. А.
author_facet Valeyev, K. G.
Dzhalladova, I. A.
Валеев, К. Г.
Джалладова, И. А.
Валеев, К. Г.
Джалладова, И. А.
author_institution_txt_mv [ { "author": "К. Г. Валеев", "institution": null }, { "author": "И. А. Джалладова", "institution": null } ]
author_sort Valeyev, K. G.
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datestamp_date 2020-03-18T21:10:18Z
description We consider a system of differential equations with controls that are linearly contained in the right-hand sides. We establish a necessary condition for the optimal control that minimizes a quadratic functional.
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spelling umjimathkievua-article-46402020-03-18T21:10:18Z Optimization of a system of linear differential equations with random coefficients Оптимизация системы линейных дифференциальных уравнений со случайными коэффициентами Valeyev, K. G. Dzhalladova, I. A. Валеев, К. Г. Джалладова, И. А. Валеев, К. Г. Джалладова, И. А. We consider a system of differential equations with controls that are linearly contained in the right-hand sides. We establish a necessary condition for the optimal control that minimizes a quadratic functional. Розглянуто систему диференціальних рівнянь з керуваннями, що лінійно входять у праву частину. Знайдено необхідну умову для оптимального керування, що мінімізує квадратичний функціонал. Institute of Mathematics, NAS of Ukraine 1999-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4640 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 4 (1999); 556–561 Український математичний журнал; Том 51 № 4 (1999); 556–561 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4640/5983 https://umj.imath.kiev.ua/index.php/umj/article/view/4640/5984 Copyright (c) 1999 Valeyev K. G.; Dzhalladova I. A.
spellingShingle Valeyev, K. G.
Dzhalladova, I. A.
Валеев, К. Г.
Джалладова, И. А.
Валеев, К. Г.
Джалладова, И. А.
Optimization of a system of linear differential equations with random coefficients
title Optimization of a system of linear differential equations with random coefficients
title_alt Оптимизация системы линейных дифференциальных уравнений со случайными коэффициентами
title_full Optimization of a system of linear differential equations with random coefficients
title_fullStr Optimization of a system of linear differential equations with random coefficients
title_full_unstemmed Optimization of a system of linear differential equations with random coefficients
title_short Optimization of a system of linear differential equations with random coefficients
title_sort optimization of a system of linear differential equations with random coefficients
url https://umj.imath.kiev.ua/index.php/umj/article/view/4640
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