Mittag-Leffler stability and stabilization of some classes of time-varying fractional systems
UDC 517.9 We consider some classes of  time-varying fractional systems and  study the problem of stabilization for these systems with  norm-bounded controls. We use time-varying Lyapunov functions to analyze t...
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| Date: | 2024 |
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| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
2024
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7564 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512685188186112 |
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| 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 | 2024-09-25T06:57:24Z |
| description | UDC 517.9
We consider some classes of  time-varying fractional systems and  study the problem of stabilization for these systems with  norm-bounded controls. We use time-varying Lyapunov functions to analyze the Mittag-Leffler stability of these systems.  A numerical example is given to illustrate the efficiency of the obtained result. |
| doi_str_mv | 10.3842/umzh.v76i8.7564 |
| first_indexed | 2026-03-24T03:32:43Z |
| format | Article |
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| id | umjimathkievua-article-7564 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:32:43Z |
| publishDate | 2024 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
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| spelling | umjimathkievua-article-75642024-09-25T06:57:24Z Mittag-Leffler stability and stabilization of some classes of time-varying fractional systems Mittag-Leffler stability and stabilization of some classes of time-varying fractional systems Omri, Faouzi Omri, Faouzi Stabilization, fractional system, linear system, bilinear system, Lyapunov functions, Mittag-Leffler stability. UDC 517.9 We consider some classes of  time-varying fractional systems and  study the problem of stabilization for these systems with  norm-bounded controls. We use time-varying Lyapunov functions to analyze the Mittag-Leffler stability of these systems.  A numerical example is given to illustrate the efficiency of the obtained result. УДК 517.9 Стійкість за Міттаг-Леффлером та стабілізація деяких класів дробових систем, що змінюються залежно від часу Розглянуто деякі класи  дробових систем, що змінюються, як функції часу. Вивчається задача стабілізації для таких систем з керуванням, яке обмежене нормою. З використанням функцій Ляпунова, що залежать від часу, проаналізовано стійкість цих систем за Міттаг-Леффлером.  Ефективність отриманого результату проілюстровано числовим прикладом.  Institute of Mathematics, NAS of Ukraine 2024-09-04 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7564 10.3842/umzh.v76i8.7564 Ukrains’kyi Matematychnyi Zhurnal; Vol. 76 No. 8 (2024); 1207 - 1216 Український математичний журнал; Том 76 № 8 (2024); 1207 - 1216 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7564/10156 Copyright (c) 2024 Faouzi Omri |
| spellingShingle | Omri, Faouzi Omri, Faouzi Mittag-Leffler stability and stabilization of some classes of time-varying fractional systems |
| title | Mittag-Leffler stability and stabilization of some classes of time-varying fractional systems |
| title_alt | Mittag-Leffler stability and stabilization of some classes of time-varying fractional systems |
| title_full | Mittag-Leffler stability and stabilization of some classes of time-varying fractional systems |
| title_fullStr | Mittag-Leffler stability and stabilization of some classes of time-varying fractional systems |
| title_full_unstemmed | Mittag-Leffler stability and stabilization of some classes of time-varying fractional systems |
| title_short | Mittag-Leffler stability and stabilization of some classes of time-varying fractional systems |
| title_sort | mittag-leffler stability and stabilization of some classes of time-varying fractional systems |
| topic_facet | Stabilization fractional system linear system bilinear system Lyapunov functions Mittag-Leffler stability. |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7564 |
| work_keys_str_mv | AT omrifaouzi mittaglefflerstabilityandstabilizationofsomeclassesoftimevaryingfractionalsystems AT omrifaouzi mittaglefflerstabilityandstabilizationofsomeclassesoftimevaryingfractionalsystems |