Stability and controllability of motion of dynamic systems at a distance from the equilibrium positions
We prove theorems that establish the connection between the stability and the controllability of the motion far off from the equilibrium positions and the existence of homogeneous ω-attractors, ω-repellers, and ω-shunts in the extended state space of dynamical systems.
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| Date: | 1992 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8051 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512893174284288 |
|---|---|
| author | Sparavalo , M. K. Спаравало , М. К. |
| author_facet | Sparavalo , M. K. Спаравало , М. К. |
| author_sort | Sparavalo , M. K. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-12-28T09:25:14Z |
| description | We prove theorems that establish the connection between the stability and the controllability of the motion far off from the equilibrium positions and the existence of homogeneous ω-attractors, ω-repellers, and ω-shunts in the extended state space of dynamical systems. |
| first_indexed | 2026-03-24T03:36:01Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-8051 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus |
| last_indexed | 2026-03-24T03:36:01Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/8d/b16af92cba8a4a3cc0cade0820e71c8d.pdf |
| spelling | umjimathkievua-article-80512023-12-28T09:25:14Z Stability and controllability of motion of dynamic systems at a distance from the equilibrium positions Устойчивость и управляемость движения динамических систем вдали от положений равновесия Sparavalo , M. K. Спаравало , М. К. We prove theorems that establish the connection between the stability and the controllability of the motion far off from the equilibrium positions and the existence of homogeneous ω-attractors, ω-repellers, and ω-shunts in the extended state space of dynamical systems. Доказаны теоремы, устанавливающие связь между устойчивостью и управляемостью движения вдали от состояний равновесия и существованием в расширенном фазовом пространстве динамических систем однородных ω -аттракторов, ω -репеллеров, ω -шунтов. Доведені теореми, що встановлюють зв’язок між стійкістю та керованістю руху у далечині від станів рівноваги та існуванням в розширеному фазовому просторі динамічних систем однорідних ω-аттракторів, ω -репелерів, ω -шунтів. Institute of Mathematics, NAS of Ukraine 1992-09-08 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8051 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 8 (1992); 1145-1149 Український математичний журнал; Том 44 № 8 (1992); 1145-1149 1027-3190 rus https://umj.imath.kiev.ua/index.php/umj/article/view/8051/9613 Copyright (c) 1992 M. K. Sparavalo |
| spellingShingle | Sparavalo , M. K. Спаравало , М. К. Stability and controllability of motion of dynamic systems at a distance from the equilibrium positions |
| title | Stability and controllability of motion of dynamic systems at a distance from the equilibrium positions |
| title_alt | Устойчивость и управляемость движения динамических систем вдали от положений равновесия |
| title_full | Stability and controllability of motion of dynamic systems at a distance from the equilibrium positions |
| title_fullStr | Stability and controllability of motion of dynamic systems at a distance from the equilibrium positions |
| title_full_unstemmed | Stability and controllability of motion of dynamic systems at a distance from the equilibrium positions |
| title_short | Stability and controllability of motion of dynamic systems at a distance from the equilibrium positions |
| title_sort | stability and controllability of motion of dynamic systems at a distance from the equilibrium positions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8051 |
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