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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| Datum: | 1999 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
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Institute of Mathematics, NAS of Ukraine
1999
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4599 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510749037690880 |
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| author | Martynyuk, A. A. Sun', Chzhen-tsi Мартынюк, А. А. Сунь, Чжень-ци Мартынюк, А. А. Сунь, Чжень-ци |
| author_facet | Martynyuk, A. A. Sun', Chzhen-tsi Мартынюк, А. А. Сунь, Чжень-ци Мартынюк, А. А. Сунь, Чжень-ци |
| author_sort | Martynyuk, A. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:09:38Z |
| description | 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. |
| first_indexed | 2026-03-24T03:01:56Z |
| format | Article |
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| id | umjimathkievua-article-4599 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:01:56Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/b1/0b6de7f376d6d9541e60b814d9cd3ab1.pdf |
| spelling | umjimathkievua-article-45992020-03-18T21:09:38Z On the practical $μ$-stability of solutions of standard systems with delay О практической $μ$-устойчивости решений стандартных систем с запаздыванием Martynyuk, A. A. Sun', Chzhen-tsi Мартынюк, А. А. Сунь, Чжень-ци Мартынюк, А. А. Сунь, Чжень-ци 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. Вивчається проблема $μ$-стійкості динамічної системи з запізненням. Встановлено умови практичної $μ$- стійкості для загального випадку і квазілінійної системи. Запропоновані умови ілюструються на прикладі. Institute of Mathematics, NAS of Ukraine 1999-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4599 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 2 (1999); 204–213 Український математичний журнал; Том 51 № 2 (1999); 204–213 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4599/5902 https://umj.imath.kiev.ua/index.php/umj/article/view/4599/5903 Copyright (c) 1999 Martynyuk A. A.; Sun' Chzhen-tsi |
| spellingShingle | Martynyuk, A. A. Sun', Chzhen-tsi Мартынюк, А. А. Сунь, Чжень-ци Мартынюк, А. А. Сунь, Чжень-ци On the practical $μ$-stability of solutions of standard systems with delay |
| title | On the practical $μ$-stability of solutions of standard systems with delay |
| title_alt | О практической $μ$-устойчивости решений стандартных систем с запаздыванием |
| title_full | On the practical $μ$-stability of solutions of standard systems with delay |
| title_fullStr | On the practical $μ$-stability of solutions of standard systems with delay |
| title_full_unstemmed | On the practical $μ$-stability of solutions of standard systems with delay |
| title_short | On the practical $μ$-stability of solutions of standard systems with delay |
| title_sort | on the practical $μ$-stability of solutions of standard systems with delay |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4599 |
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