On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities
In the paper, new nonlinear time scale integral inequalities are given. By means of the explicit integral bounds, we derive suffcient conditions for the uniform asymptotic stability of perturbed systems on time scales. In the sequel, basing on Lyapunov's direct method, we develop the required t...
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| Published in: | Журнал математической физики, анализа, геометрии |
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| Date: | 2015 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2015
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/118149 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities / B. Ben Nasser, K. Boukerrioua, M.A. Hammami // Журнал математической физики, анализа, геометрии. — 2015. — Т. 11, № 3. — С. 207-235. — Бібліогр.: 32 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862739049121316864 |
|---|---|
| author | Ben Nasser, B. Boukerrioua, K. Hammami, M.A. |
| author_facet | Ben Nasser, B. Boukerrioua, K. Hammami, M.A. |
| citation_txt | On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities / B. Ben Nasser, K. Boukerrioua, M.A. Hammami // Журнал математической физики, анализа, геометрии. — 2015. — Т. 11, № 3. — С. 207-235. — Бібліогр.: 32 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | In the paper, new nonlinear time scale integral inequalities are given. By means of the explicit integral bounds, we derive suffcient conditions for the uniform asymptotic stability of perturbed systems on time scales. In the sequel, basing on Lyapunov's direct method, we develop the required type of stability.
В статье представлены новые нелинейные интегральные неравенства на временной шкале. С помощью явных интегральных оценок получены достаточные условия для равномерной асимптотической устойчивости возмущенных систем на временных шкалах. Далее, основываясь на прямом методе Ляпунова, разработан нужный тип стабильности.
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| first_indexed | 2025-12-07T20:07:00Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-118149 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T20:07:00Z |
| publishDate | 2015 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Ben Nasser, B. Boukerrioua, K. Hammami, M.A. 2017-05-28T18:44:30Z 2017-05-28T18:44:30Z 2015 On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities / B. Ben Nasser, K. Boukerrioua, M.A. Hammami // Журнал математической физики, анализа, геометрии. — 2015. — Т. 11, № 3. — С. 207-235. — Бібліогр.: 32 назв. — англ. 1812-9471 DOI: 10.15407/mag11.03.207 MSC2000: 34D05, 34D10, 34D23, 37C75, 93D20 https://nasplib.isofts.kiev.ua/handle/123456789/118149 In the paper, new nonlinear time scale integral inequalities are given. By means of the explicit integral bounds, we derive suffcient conditions for the uniform asymptotic stability of perturbed systems on time scales. In the sequel, basing on Lyapunov's direct method, we develop the required type of stability. В статье представлены новые нелинейные интегральные неравенства на временной шкале. С помощью явных интегральных оценок получены достаточные условия для равномерной асимптотической устойчивости возмущенных систем на временных шкалах. Далее, основываясь на прямом методе Ляпунова, разработан нужный тип стабильности. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities Article published earlier |
| spellingShingle | On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities Ben Nasser, B. Boukerrioua, K. Hammami, M.A. |
| title | On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities |
| title_full | On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities |
| title_fullStr | On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities |
| title_full_unstemmed | On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities |
| title_short | On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities |
| title_sort | on stability and stabilization of perturbed time scale systems with gronwall inequalities |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/118149 |
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