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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| Datum: | 2015 |
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| Sprache: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2015
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| Schriftenreihe: | Журнал математической физики, анализа, геометрии |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/118149 |
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| Zitieren: | 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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irk-123456789-1181492017-05-29T03:03:57Z On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities Ben Nasser, B. Boukerrioua, K. Hammami, M.A. 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. 2015 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/118149 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Ben Nasser, B. Boukerrioua, K. Hammami, M.A. |
| spellingShingle |
Ben Nasser, B. Boukerrioua, K. Hammami, M.A. On Stability and Stabilization of Perturbed Time Scale Systems with Gronwall Inequalities Журнал математической физики, анализа, геометрии |
| author_facet |
Ben Nasser, B. Boukerrioua, K. Hammami, M.A. |
| author_sort |
Ben Nasser, B. |
| title |
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_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_sort |
on stability and stabilization of perturbed time scale systems with gronwall inequalities |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/118149 |
| 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. |
| series |
Журнал математической физики, анализа, геометрии |
| work_keys_str_mv |
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| first_indexed |
2025-07-08T13:27:26Z |
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2025-07-08T13:27:26Z |
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