Stabilization of a class of $\psi$-Caputo fractional homogeneous polynomial systems
UDC 517.9 In a constructive way, we  study the problem of stabilization of $\psi$-Caputo  fractional  homogeneous polynomial systems.  By using the Lyapunov functions, we construct stabilizing feedback laws for the analyzed fractional&...
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| Дата: | 2025 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2025
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/7859 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512787253428224 |
|---|---|
| author | Omri, Faouzi Omri, Faouzi |
| author_facet | Omri, Faouzi Omri, Faouzi |
| author_sort | Omri, Faouzi |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-05-09T12:53:53Z |
| description | UDC 517.9
In a constructive way, we  study the problem of stabilization of $\psi$-Caputo  fractional  homogeneous polynomial systems.  By using the Lyapunov functions, we construct stabilizing feedback laws for the analyzed fractional  system.  A numerical example is given to illustrate the efficiency  of the obtained result. |
| doi_str_mv | 10.3842/umzh.v76i10.7859 |
| first_indexed | 2026-03-24T03:34:20Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7859 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:34:20Z |
| publishDate | 2025 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-78592025-05-09T12:53:53Z Stabilization of a class of $\psi$-Caputo fractional homogeneous polynomial systems Stabilization of a class of $\psi$-Caputo fractional homogeneous polynomial systems Omri, Faouzi Omri, Faouzi Stability, stabilization, ψ-Caputo fractional homogenous system, Lyapunov functions UDC 517.9 In a constructive way, we  study the problem of stabilization of $\psi$-Caputo  fractional  homogeneous polynomial systems.  By using the Lyapunov functions, we construct stabilizing feedback laws for the analyzed fractional  system.  A numerical example is given to illustrate the efficiency  of the obtained result. УДК 517.9 Стабілізація одного класу дробово-однорідних поліноміальних систем $\psi$-Капуто Конструктивно досліджено задачу стабілізації  дробово-однорідних поліноміальних систем $\psi$-Капуто.  З допомогою функцій Ляпунова побудовано стабілізуючі закони зворотного зв’язку для  дробової системи, що розглядається. Для ілюстрації ефективності отриманого результату наведено числовий приклад. Institute of Mathematics, NAS of Ukraine 2025-05-07 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7859 10.3842/umzh.v76i10.7859 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 10 (2024); 1516 - 1525 Український математичний журнал; Том 76 № 10 (2024); 1516 - 1525 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7859/10218 Copyright (c) 2024 Faouzi Omri |
| spellingShingle | Omri, Faouzi Omri, Faouzi Stabilization of a class of $\psi$-Caputo fractional homogeneous polynomial systems |
| title | Stabilization of a class of $\psi$-Caputo fractional homogeneous polynomial systems |
| title_alt | Stabilization of a class of $\psi$-Caputo fractional homogeneous polynomial systems |
| title_full | Stabilization of a class of $\psi$-Caputo fractional homogeneous polynomial systems |
| title_fullStr | Stabilization of a class of $\psi$-Caputo fractional homogeneous polynomial systems |
| title_full_unstemmed | Stabilization of a class of $\psi$-Caputo fractional homogeneous polynomial systems |
| title_short | Stabilization of a class of $\psi$-Caputo fractional homogeneous polynomial systems |
| title_sort | stabilization of a class of $\psi$-caputo fractional homogeneous polynomial systems |
| topic_facet | Stability stabilization ψ-Caputo fractional homogenous system Lyapunov functions |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7859 |
| work_keys_str_mv | AT omrifaouzi stabilizationofaclassofpsicaputofractionalhomogeneouspolynomialsystems AT omrifaouzi stabilizationofaclassofpsicaputofractionalhomogeneouspolynomialsystems |