| EXISTENCE AND UNIQUENESS AND STABILITY OF SOLUTIONS FOR STOCHASTIC IMPULSIVE SYSTEMS |
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| 引用本文： | Bin LIU Xinzhi LIU Xiaoxin LIAO. EXISTENCE AND UNIQUENESS AND STABILITY OF SOLUTIONS FOR STOCHASTIC IMPULSIVE SYSTEMS[J]. 系统科学与复杂性, 2007, 20(1): 149-158. DOI: 10.1007/s11424-007-9013-6 |
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| 作者姓名： | Bin LIU Xinzhi LIU Xiaoxin LIAO |
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| 作者单位： | [1]Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074 [2]Department of Information and Computation Science, Zhuzhou Institute of Technology, Zhuzhou, 412008, China [3]Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada. [4]Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China |
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| 基金项目： | This research is supported by the National Natural Science Foundation of China under Grant No. 60274007, and the Post Doctoral Foundation of China and the Excellent Young Program of the Education Department of Hunan Province under Grant No. 04B068, and the NSERC-Canada. |
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| 摘 要： |
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| 关 键 词： | 随机脉冲系统 解 唯一性 稳定性 动态行为 |
| 收稿时间： | 2004-01-02 |
| 修稿时间： | 2004-01-022005-06-08 |
Existence and Uniqueness and Stability of Solutions for Stochastic Impulsive Systems |
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| Bin Liu,Xinzhi Liu,Xiaoxin Liao. Existence and Uniqueness and Stability of Solutions for Stochastic Impulsive Systems[J]. Journal of Systems Science and Complexity, 2007, 20(1): 149-158. DOI: 10.1007/s11424-007-9013-6 |
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| Authors: | Bin Liu Xinzhi Liu Xiaoxin Liao |
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| Affiliation: | (1) Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China;(2) Department of Information and Computation Science, Zhuzhou Institute of Technology, Zhuzhou, 412008, China;(3) Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada |
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| Abstract: | This paper studies the existence, uniqueness, and stability of solutions for stochastic impulsive systems. By employing Lyapunov-like functions, some sufficient conditions of the global existence, uniqueness, and stability of solutions for stochastic impulsive systems are established. Furthermore, the results are specialized to the case of linear stochastic impulsive systems. Finally, some examples are given to illustrate the applications of our theory. |
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| Keywords: | It?’ s formula Lyapunov-like function stability stochastic impulsive system |
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