Positive and Monotone Systems in a Partially Ordered Space
We investigate properties of positive and monotone differential systems with respect to a given cone in the phase space. We formulate criteria for the stability of linear positive systems in terms of monotonically invertible operators and develop methods for the comparison of systems in a partially...
Gespeichert in:
| Datum: | 2003 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2003
|
| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/3898 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860510031361867776 |
|---|---|
| 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 | 2020-03-18T20:14:50Z |
| description | We investigate properties of positive and monotone differential systems with respect to a given cone in the phase space. We formulate criteria for the stability of linear positive systems in terms of monotonically invertible operators and develop methods for the comparison of systems in a partially ordered space. |
| first_indexed | 2026-03-24T02:50:32Z |
| format | Article |
| fulltext |
0020
0021
0022
0023
0024
0025
0026
0027
0028
0029
|
| id | umjimathkievua-article-3898 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T02:50:32Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/7e/c1b5315e790921ca02854e789fdf057e.pdf |
| spelling | umjimathkievua-article-38982020-03-18T20:14:50Z Positive and Monotone Systems in a Partially Ordered Space Позитивные и монотонные системы в полуупорядоченном пространстве Mazko, A. G. Мазко, А. Г. Мазко, А. Г. We investigate properties of positive and monotone differential systems with respect to a given cone in the phase space. We formulate criteria for the stability of linear positive systems in terms of monotonically invertible operators and develop methods for the comparison of systems in a partially ordered space. Досліджуються властивості позитивних і монотонних диференціальних систем відносно заданого конуса у фазовому просторі. Формулюються критерії стійкості лінійних позитивних систем у термінах монотонно оборотних операторів. Розвиваються методи порівняння систем у напівупорядкованому просторі. Institute of Mathematics, NAS of Ukraine 2003-02-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3898 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 2 (2003); 164-173 Український математичний журнал; Том 55 № 2 (2003); 164-173 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/3898/4511 https://umj.imath.kiev.ua/index.php/umj/article/view/3898/4512 Copyright (c) 2003 Mazko A. G. |
| spellingShingle | Mazko, A. G. Мазко, А. Г. Мазко, А. Г. Positive and Monotone Systems in a Partially Ordered Space |
| title | Positive and Monotone Systems in a Partially Ordered Space |
| title_alt | Позитивные и монотонные системы в полуупорядоченном пространстве |
| title_full | Positive and Monotone Systems in a Partially Ordered Space |
| title_fullStr | Positive and Monotone Systems in a Partially Ordered Space |
| title_full_unstemmed | Positive and Monotone Systems in a Partially Ordered Space |
| title_short | Positive and Monotone Systems in a Partially Ordered Space |
| title_sort | positive and monotone systems in a partially ordered space |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3898 |
| work_keys_str_mv | AT mazkoag positiveandmonotonesystemsinapartiallyorderedspace AT mazkoag positiveandmonotonesystemsinapartiallyorderedspace AT mazkoag positiveandmonotonesystemsinapartiallyorderedspace AT mazkoag pozitivnyeimonotonnyesistemyvpoluuporâdočennomprostranstve AT mazkoag pozitivnyeimonotonnyesistemyvpoluuporâdočennomprostranstve AT mazkoag pozitivnyeimonotonnyesistemyvpoluuporâdočennomprostranstve |