Study of stability conditions of stochastic disturbed systems with delay

Linear stochastic differential systems with a single lag are considered. Sufficient conditions for uniform (in lag) stability in the mean-square under constantly acting perturbations are obtained.

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Date:1992
Main Authors: Nechaeva , I. N., Khusainov , D. Ya., Нечаева , И. Г., Хусаинов , Д. Я.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1992
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8034
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Nechaeva , I. N.
Khusainov , D. Ya.
Нечаева , И. Г.
Хусаинов , Д. Я.
author_facet Nechaeva , I. N.
Khusainov , D. Ya.
Нечаева , И. Г.
Хусаинов , Д. Я.
author_sort Nechaeva , I. N.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
collection OJS
datestamp_date 2023-12-28T09:25:14Z
description Linear stochastic differential systems with a single lag are considered. Sufficient conditions for uniform (in lag) stability in the mean-square under constantly acting perturbations are obtained.
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spelling umjimathkievua-article-80342023-12-28T09:25:14Z Study of stability conditions of stochastic disturbed systems with delay Исследование условий устойчивости стохастических возмущенных систем с запаздыванием Nechaeva , I. N. Khusainov , D. Ya. Нечаева , И. Г. Хусаинов , Д. Я. Linear stochastic differential systems with a single lag are considered. Sufficient conditions for uniform (in lag) stability in the mean-square under constantly acting perturbations are obtained. Рассматриваются линейные стохастические дифференциальные системы с одним запаздыванием. Получены достаточные условия равномерной (по запаздыванию) устойчивости в среднеквадратическом при постоянно действующих возмущениях. Розглядаються лінійні стохастичні диференціальні системи з одним відхиленням. Одержані достатні умови рівномірної (по запізненню) стійкості в середньоквадратичному при постійно діючих збуреннях. Institute of Mathematics, NAS of Ukraine 1992-09-08 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8034 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 8 (1992); 1060-1064 Український математичний журнал; Том 44 № 8 (1992); 1060-1064 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8034/9597 Copyright (c) 1992 I. N. Nechaeva , D. Ya. Khusainov
spellingShingle Nechaeva , I. N.
Khusainov , D. Ya.
Нечаева , И. Г.
Хусаинов , Д. Я.
Study of stability conditions of stochastic disturbed systems with delay
title Study of stability conditions of stochastic disturbed systems with delay
title_alt Исследование условий устойчивости стохастических возмущенных систем с запаздыванием
title_full Study of stability conditions of stochastic disturbed systems with delay
title_fullStr Study of stability conditions of stochastic disturbed systems with delay
title_full_unstemmed Study of stability conditions of stochastic disturbed systems with delay
title_short Study of stability conditions of stochastic disturbed systems with delay
title_sort study of stability conditions of stochastic disturbed systems with delay
url https://umj.imath.kiev.ua/index.php/umj/article/view/8034
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