Stability of Stochastic Differential Delay Systems with Delayed Impulses
We investigate the stability of stochastic delay differential systems with delayed impulses by Razumikhin methods. Some criteria on the pth moment and almost sure exponential stability are obtained. It is shown that an unstable stochastic delay system can be successfully stabilized by delayed impuls...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/481971 |
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| _version_ | 1832559340873056256 |
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| author | Yanlei Wu |
| author_facet | Yanlei Wu |
| author_sort | Yanlei Wu |
| collection | DOAJ |
| description | We investigate the stability of stochastic delay differential systems with delayed impulses by Razumikhin methods. Some criteria on the pth moment and almost sure exponential stability are obtained. It is shown that an unstable stochastic delay system can be successfully stabilized by delayed impulses. Moreover, it is also shown that if a continuous dynamic system is stable, then, under some conditions, the delayed impulses do not destroy the stability of the systems. The effectiveness of the proposed results is illustrated by two examples. |
| format | Article |
| id | doaj-art-3f9ccea1f6074237a721f035d1ff6eef |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3f9ccea1f6074237a721f035d1ff6eef2025-02-03T01:30:14ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/481971481971Stability of Stochastic Differential Delay Systems with Delayed ImpulsesYanlei Wu0Department of Mathematics, Anhui Polytechnic University, Wuhu, Anhui 241000, ChinaWe investigate the stability of stochastic delay differential systems with delayed impulses by Razumikhin methods. Some criteria on the pth moment and almost sure exponential stability are obtained. It is shown that an unstable stochastic delay system can be successfully stabilized by delayed impulses. Moreover, it is also shown that if a continuous dynamic system is stable, then, under some conditions, the delayed impulses do not destroy the stability of the systems. The effectiveness of the proposed results is illustrated by two examples.http://dx.doi.org/10.1155/2014/481971 |
| spellingShingle | Yanlei Wu Stability of Stochastic Differential Delay Systems with Delayed Impulses Abstract and Applied Analysis |
| title | Stability of Stochastic Differential Delay Systems with Delayed Impulses |
| title_full | Stability of Stochastic Differential Delay Systems with Delayed Impulses |
| title_fullStr | Stability of Stochastic Differential Delay Systems with Delayed Impulses |
| title_full_unstemmed | Stability of Stochastic Differential Delay Systems with Delayed Impulses |
| title_short | Stability of Stochastic Differential Delay Systems with Delayed Impulses |
| title_sort | stability of stochastic differential delay systems with delayed impulses |
| url | http://dx.doi.org/10.1155/2014/481971 |
| work_keys_str_mv | AT yanleiwu stabilityofstochasticdifferentialdelaysystemswithdelayedimpulses |