On the practical $μ$-stability of solutions of standard systems with delay

We study the problem of $μ$-stability of a dynamical system with delay. Conditions of the practical $μ$-stability are established for the general case and for a quasilinear system. The conditions suggested are illustrated by an example.

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Bibliographic Details
Date:1999
Main Authors: Martynyuk, A. A., Sun', Chzhen-tsi, Мартынюк, А. А., Сунь, Чжень-ци
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/4599
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Summary:We study the problem of $μ$-stability of a dynamical system with delay. Conditions of the practical $μ$-stability are established for the general case and for a quasilinear system. The conditions suggested are illustrated by an example.