On Necessary and Sufficient Conditions for the Asymptotic Stability of Impulsive Systems
We prove that the sufficient conditions for the asymptotic stability of impulsive systems obtained by Gurgula and Perestyuk are also necessary conditions.
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| Date: | 2003 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Russian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2003
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3979 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510110289231872 |
|---|---|
| author | Ignat'ev, A. O. Gladilina, R. I. Игнатьев, А. О. Гладилина, Р. И. Игнатьев, А. О. Гладилина, Р. И. |
| author_facet | Ignat'ev, A. O. Gladilina, R. I. Игнатьев, А. О. Гладилина, Р. И. Игнатьев, А. О. Гладилина, Р. И. |
| author_sort | Ignat'ev, A. O. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:17:34Z |
| description | We prove that the sufficient conditions for the asymptotic stability of impulsive systems obtained by Gurgula and Perestyuk are also necessary conditions. |
| first_indexed | 2026-03-24T02:51:47Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3979 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:51:47Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a9/d460f349d27977cd844576178e24e9a9.pdf |
| spelling | umjimathkievua-article-39792020-03-18T20:17:34Z On Necessary and Sufficient Conditions for the Asymptotic Stability of Impulsive Systems О необходимых и достаточных условиях асимптотической устойчивости для импульсных систем Ignat'ev, A. O. Gladilina, R. I. Игнатьев, А. О. Гладилина, Р. И. Игнатьев, А. О. Гладилина, Р. И. We prove that the sufficient conditions for the asymptotic stability of impulsive systems obtained by Gurgula and Perestyuk are also necessary conditions. Доведено, що достатні умови асимптотичної стійкості імпульсних систем з імпульсною дією, одержані С. І. Гургулою і М. О. Перестюком, є також необхідними умовами. Institute of Mathematics, NAS of Ukraine 2003-08-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3979 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 8 (2003); 1035-1043 Український математичний журнал; Том 55 № 8 (2003); 1035-1043 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3979/4670 https://umj.imath.kiev.ua/index.php/umj/article/view/3979/4671 Copyright (c) 2003 Ignat'ev A. O.; Gladilina R. I. |
| spellingShingle | Ignat'ev, A. O. Gladilina, R. I. Игнатьев, А. О. Гладилина, Р. И. Игнатьев, А. О. Гладилина, Р. И. On Necessary and Sufficient Conditions for the Asymptotic Stability of Impulsive Systems |
| title | On Necessary and Sufficient Conditions for the Asymptotic Stability of Impulsive Systems |
| title_alt | О необходимых и достаточных условиях асимптотической устойчивости для импульсных систем |
| title_full | On Necessary and Sufficient Conditions for the Asymptotic Stability of Impulsive Systems |
| title_fullStr | On Necessary and Sufficient Conditions for the Asymptotic Stability of Impulsive Systems |
| title_full_unstemmed | On Necessary and Sufficient Conditions for the Asymptotic Stability of Impulsive Systems |
| title_short | On Necessary and Sufficient Conditions for the Asymptotic Stability of Impulsive Systems |
| title_sort | on necessary and sufficient conditions for the asymptotic stability of impulsive systems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3979 |
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