On an estimate of the domain of attraction for systems with aftereffect
We consider the problem of construction of the domain of attraction for systems with aftereffect. The structure of solutions of the Cauchy problem in the vector space of states of a system is clarified with examples. We describe a constructive method for the estimation of the domain of attraction fr...
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| Дата: | 1998 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1998
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/4905 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511091324354560 |
|---|---|
| author | Prasolov, А. V. Прасолов, А. В. Прасолов, А. В. |
| author_facet | Prasolov, А. V. Прасолов, А. В. Прасолов, А. В. |
| author_sort | Prasolov, А. V. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:16:53Z |
| description | We consider the problem of construction of the domain of attraction for systems with aftereffect. The structure of solutions of the Cauchy problem in the vector space of states of a system is clarified with examples. We describe a constructive method for the estimation of the domain of attraction from the inside with the use of the Lyapunov functions. This method is used for the estimation of the effect of delay in a control device in the process of solution of the problem of uniaxial orientation of a spacecraft. |
| first_indexed | 2026-03-24T03:07:23Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-4905 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:07:23Z |
| publishDate | 1998 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/49/0780b3cd46baa9f14898d7a632d9ee49.pdf |
| spelling | umjimathkievua-article-49052020-03-18T21:16:53Z On an estimate of the domain of attraction for systems with aftereffect Об оценке области притяжения для систем с последействием Prasolov, А. V. Прасолов, А. В. Прасолов, А. В. We consider the problem of construction of the domain of attraction for systems with aftereffect. The structure of solutions of the Cauchy problem in the vector space of states of a system is clarified with examples. We describe a constructive method for the estimation of the domain of attraction from the inside with the use of the Lyapunov functions. This method is used for the estimation of the effect of delay in a control device in the process of solution of the problem of uniaxial orientation of a spacecraft. Рассматривается задача построения области притяжения для систем с последействием. На примерах показывается структура решений задачи Коши в векторном пространстве состояний системы. Описывается конструктивный способ оценивания области притяжения изнутри с помощью функций Ляпунова. Он используется для оценки влияния запаздывания в органах управления при решении задачи одноосной ориентации космического аппарата. Institute of Mathematics, NAS of Ukraine 1998-05-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/4905 Ukrains’kyi Matematychnyi Zhurnal; Vol. 50 No. 5 (1998); 671–678 Український математичний журнал; Том 50 № 5 (1998); 671–678 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/4905/6509 https://umj.imath.kiev.ua/index.php/umj/article/view/4905/6510 Copyright (c) 1998 Prasolov А. V. |
| spellingShingle | Prasolov, А. V. Прасолов, А. В. Прасолов, А. В. On an estimate of the domain of attraction for systems with aftereffect |
| title | On an estimate of the domain of attraction for systems with aftereffect |
| title_alt | Об оценке области притяжения для систем с последействием |
| title_full | On an estimate of the domain of attraction for systems with aftereffect |
| title_fullStr | On an estimate of the domain of attraction for systems with aftereffect |
| title_full_unstemmed | On an estimate of the domain of attraction for systems with aftereffect |
| title_short | On an estimate of the domain of attraction for systems with aftereffect |
| title_sort | on an estimate of the domain of attraction for systems with aftereffect |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/4905 |
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