Stability of Linear Positive Systems
We establish criteria of asymptotic stability for positive differential systems in the form of conditions of monotone invertibility of linear operators. The structure of monotone and monotonically invertible operators in the space of matrices is investigated.
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| Datum: | 2001 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2001
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/4255 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510386722177024 |
|---|---|
| author | Mazko, A. G. Мазко, А. Г. Мазко, А. Г. |
| author_facet | Mazko, A. G. Мазко, А. Г. Мазко, А. Г. |
| author_sort | Mazko, A. G. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:25:15Z |
| description | We establish criteria of asymptotic stability for positive differential systems in the form of conditions of monotone invertibility of linear operators. The structure of monotone and monotonically invertible operators in the space of matrices is investigated. |
| first_indexed | 2026-03-24T02:56:11Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4255 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:56:11Z |
| publishDate | 2001 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/15/b8122b61472e26eaf9be3cad99f8e915.pdf |
| spelling | umjimathkievua-article-42552020-03-18T20:25:15Z Stability of Linear Positive Systems Устойчивость линейных позитивных систем Mazko, A. G. Мазко, А. Г. Мазко, А. Г. We establish criteria of asymptotic stability for positive differential systems in the form of conditions of monotone invertibility of linear operators. The structure of monotone and monotonically invertible operators in the space of matrices is investigated. Встановлюються критерії асимптотичної стійкості позитивних диференціальних систем у вигляді умов монотонної оборотності лінійних операторів. Досліджується структура монотонних і монотонно оборотних операторів у просторі матриць. Institute of Mathematics, NAS of Ukraine 2001-03-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4255 Ukrains’kyi Matematychnyi Zhurnal; Vol. 53 No. 3 (2001); 323-330 Український математичний журнал; Том 53 № 3 (2001); 323-330 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4255/5214 https://umj.imath.kiev.ua/index.php/umj/article/view/4255/5215 Copyright (c) 2001 Mazko A. G. |
| spellingShingle | Mazko, A. G. Мазко, А. Г. Мазко, А. Г. Stability of Linear Positive Systems |
| title | Stability of Linear Positive Systems |
| title_alt | Устойчивость линейных позитивных систем |
| title_full | Stability of Linear Positive Systems |
| title_fullStr | Stability of Linear Positive Systems |
| title_full_unstemmed | Stability of Linear Positive Systems |
| title_short | Stability of Linear Positive Systems |
| title_sort | stability of linear positive systems |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4255 |
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