Stability of difference rational systems
For systems of difference equations with rational functions on the right-hand sides represented in a unified vector matrix form, we obtain stability conditions and calculate a value of the radius of a disk for the domain of asymptotic stability on the basis of the second Lyapunov method.
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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/4628 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510775726047232 |
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| author | Khusainov, D. Ya. Shevelenko, E. E. Хусаинов, Д. Я. Шевеленко, Е. Е. Хусаинов, Д. Я. Шевеленко, Е. Е. |
| author_facet | Khusainov, D. Ya. Shevelenko, E. E. Хусаинов, Д. Я. Шевеленко, Е. Е. Хусаинов, Д. Я. Шевеленко, Е. Е. |
| author_sort | Khusainov, D. Ya. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:09:58Z |
| description | For systems of difference equations with rational functions on the right-hand sides represented in a unified vector matrix form, we obtain stability conditions and calculate a value of the radius of a disk for the domain of asymptotic stability on the basis of the second Lyapunov method. |
| first_indexed | 2026-03-24T03:02:22Z |
| format | Article |
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| id | umjimathkievua-article-4628 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:02:22Z |
| publishDate | 1999 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/5c/c1f29e1dc05dfd53920c219cbe513e5c.pdf |
| spelling | umjimathkievua-article-46282020-03-18T21:09:58Z Stability of difference rational systems Устойчивость разностных дробцо-рациоиальиых систем Khusainov, D. Ya. Shevelenko, E. E. Хусаинов, Д. Я. Шевеленко, Е. Е. Хусаинов, Д. Я. Шевеленко, Е. Е. For systems of difference equations with rational functions on the right-hand sides represented in a unified vector matrix form, we obtain stability conditions and calculate a value of the radius of a disk for the domain of asymptotic stability on the basis of the second Lyapunov method. Для систем різницевих рівнянь з дробово-раціональними функціями в правій частині, які записані в уніфікованому векторно-матричиому вигляді, за допомогою другого методу Ляпунова отримано умови стійкості та обчислено розмір радіуса кулі області асимптотичної стійкості. Institute of Mathematics, NAS of Ukraine 1999-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4628 Ukrains’kyi Matematychnyi Zhurnal; Vol. 51 No. 3 (1999); 428–431 Український математичний журнал; Том 51 № 3 (1999); 428–431 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4628/5959 https://umj.imath.kiev.ua/index.php/umj/article/view/4628/5960 Copyright (c) 1999 Khusainov D. Ya.; Shevelenko E. E. |
| spellingShingle | Khusainov, D. Ya. Shevelenko, E. E. Хусаинов, Д. Я. Шевеленко, Е. Е. Хусаинов, Д. Я. Шевеленко, Е. Е. Stability of difference rational systems |
| title | Stability of difference rational systems |
| title_alt | Устойчивость разностных дробцо-рациоиальиых систем
|
| title_full | Stability of difference rational systems |
| title_fullStr | Stability of difference rational systems |
| title_full_unstemmed | Stability of difference rational systems |
| title_short | Stability of difference rational systems |
| title_sort | stability of difference rational systems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4628 |
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