On the stability of solutions of a quasilinear uncertain system

We generalize the Lyapunov direct method, which can be used for establishing new conditions of the uniform asymptotic stability of solutions of an uncertain system with respect to an invariant moving set.

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Bibliographic Details
Date:1999
Main Authors: Martynyuk-Chernienko, Yu. A., Мартынюк-Черниенко, Ю. 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/4631
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Martynyuk-Chernienko, Yu. A.
Мартынюк-Черниенко, Ю. А.
Мартынюк-Черниенко, Ю. А.
author_facet Martynyuk-Chernienko, Yu. A.
Мартынюк-Черниенко, Ю. А.
Мартынюк-Черниенко, Ю. А.
author_sort Martynyuk-Chernienko, Yu. A.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
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datestamp_date 2020-03-18T21:10:18Z
description We generalize the Lyapunov direct method, which can be used for establishing new conditions of the uniform asymptotic stability of solutions of an uncertain system with respect to an invariant moving set.
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spelling umjimathkievua-article-46312020-03-18T21:10:18Z On the stability of solutions of a quasilinear uncertain system Об устойчивости решений квазилинейной неточной системы Martynyuk-Chernienko, Yu. A. Мартынюк-Черниенко, Ю. А. Мартынюк-Черниенко, Ю. А. We generalize the Lyapunov direct method, which can be used for establishing new conditions of the uniform asymptotic stability of solutions of an uncertain system with respect to an invariant moving set. Узагальнено прямий метод Ляпунова, який може бути використаний для встановлення нових умов рівномірної асимптотичної стійкості розв'язків неточної системи відносно інваріантної рухомої множини. Institute of Mathematics, NAS of Ukraine 1999-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4631 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 4 (1999); 458–465 Український математичний журнал; Том 51 № 4 (1999); 458–465 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4631/5965 https://umj.imath.kiev.ua/index.php/umj/article/view/4631/5966 Copyright (c) 1999 Martynyuk-Chernienko Yu. A.
spellingShingle Martynyuk-Chernienko, Yu. A.
Мартынюк-Черниенко, Ю. А.
Мартынюк-Черниенко, Ю. А.
On the stability of solutions of a quasilinear uncertain system
title On the stability of solutions of a quasilinear uncertain system
title_alt Об устойчивости решений квазилинейной неточной системы
title_full On the stability of solutions of a quasilinear uncertain system
title_fullStr On the stability of solutions of a quasilinear uncertain system
title_full_unstemmed On the stability of solutions of a quasilinear uncertain system
title_short On the stability of solutions of a quasilinear uncertain system
title_sort on the stability of solutions of a quasilinear uncertain system
url https://umj.imath.kiev.ua/index.php/umj/article/view/4631
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