Exponential Stability of Impulsive Stochastic Functional Differential Systems with Delayed Impulses
A class of generalized impulsive stochastic functional differential systems with delayed impulses is considered. By employing piecewise continuous Lyapunov functions and the Razumikhin techniques, several criteria on the exponential stability and uniform stability in terms of two measures for the me...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/548712 |
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| _version_ | 1849306635377311744 |
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| author | Fengqi Yao Feiqi Deng Pei Cheng |
| author_facet | Fengqi Yao Feiqi Deng Pei Cheng |
| author_sort | Fengqi Yao |
| collection | DOAJ |
| description | A class of generalized impulsive stochastic functional differential systems with delayed impulses is considered. By employing piecewise continuous Lyapunov functions and the Razumikhin techniques, several criteria on the exponential stability and uniform stability in terms of two measures for the mentioned systems are obtained, which show that unstable stochastic functional differential systems may be stabilized by appropriate delayed impulses. Based on the stability results, delayed impulsive controllers which mean square exponentially stabilize linear stochastic delay systems are proposed. Finally, numerical examples are given to verify the effectiveness and advantages of our results. |
| format | Article |
| id | doaj-art-31d19c389f2849589a4e1fb6f8b6530f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-31d19c389f2849589a4e1fb6f8b6530f2025-08-20T03:55:01ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/548712548712Exponential Stability of Impulsive Stochastic Functional Differential Systems with Delayed ImpulsesFengqi Yao0Feiqi Deng1Pei Cheng2School of Electrical Engineering & Information, Anhui University of Technology, Ma’anshan, Anhui 243000, ChinaThe Institute of System Engineering, South China University of Technology, Guangzhou, Guangdong 510640, ChinaSchool of Mathematical Science, Anhui University, Hefei, Anhui 230039, ChinaA class of generalized impulsive stochastic functional differential systems with delayed impulses is considered. By employing piecewise continuous Lyapunov functions and the Razumikhin techniques, several criteria on the exponential stability and uniform stability in terms of two measures for the mentioned systems are obtained, which show that unstable stochastic functional differential systems may be stabilized by appropriate delayed impulses. Based on the stability results, delayed impulsive controllers which mean square exponentially stabilize linear stochastic delay systems are proposed. Finally, numerical examples are given to verify the effectiveness and advantages of our results.http://dx.doi.org/10.1155/2013/548712 |
| spellingShingle | Fengqi Yao Feiqi Deng Pei Cheng Exponential Stability of Impulsive Stochastic Functional Differential Systems with Delayed Impulses Abstract and Applied Analysis |
| title | Exponential Stability of Impulsive Stochastic Functional Differential Systems with Delayed Impulses |
| title_full | Exponential Stability of Impulsive Stochastic Functional Differential Systems with Delayed Impulses |
| title_fullStr | Exponential Stability of Impulsive Stochastic Functional Differential Systems with Delayed Impulses |
| title_full_unstemmed | Exponential Stability of Impulsive Stochastic Functional Differential Systems with Delayed Impulses |
| title_short | Exponential Stability of Impulsive Stochastic Functional Differential Systems with Delayed Impulses |
| title_sort | exponential stability of impulsive stochastic functional differential systems with delayed impulses |
| url | http://dx.doi.org/10.1155/2013/548712 |
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