| Asymptotical p-moment stability of stochastic impulsive differential system and its application to chaos synchronization |
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| 作者姓名： | 牛玉俊 徐伟 陆朝阳 |
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| 作者单位： | Department of Math and Statistics, Nanyang Normal University,
Nanyang 473061, China;Department of Applied Math, Northwestern Polytechnical University,
Xi'an 710072, China;Department of Applied Math, Northwestern Polytechnical University,
Xi'an 710072, China |
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| 基金项目： | Project supported by the National
Natural Science Foundation of China (Grant No.~10872165). |
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| 摘 要： | In this paper,the asymptotical p-moment stability of stochastic impulsive differential equations is studied and a comparison theory to ensure the asymptotical p-moment stability of the trivial solution is established,which is important for studying the impulsive control and synchronization in stochastic systems.As an application of this theory,we study the problem of chaos synchronization in the Chen system excited by parameter white-noise excitation,by using the impulsive method.Numerical simulations verify the feasibility of this method.
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| 关 键 词： | p-moment stability impulsive stochastic differential equations chaos synchronization |
| 收稿时间： | 2008-12-15 |
| 修稿时间： | 7/6/2009 12:00:00 AM |
Asymptotical p-moment stability of stochastic impulsive differential system and its application to chaos synchronization |
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| Niu Yu-Jun,Xu Wei and Lu Zhao-Yang.Asymptotical p-moment stability of stochastic impulsive differential system and its application to chaos synchronization[J].Chinese Physics B,2010,19(3):30512-030512. |
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| Authors: | Niu Yu-Jun Xu Wei and Lu Zhao-Yang |
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| Affiliation: | Department of Applied Math, Northwestern Polytechnical University,
Xi'an 710072, China; Department of Math and Statistics, Nanyang Normal University,
Nanyang 473061, China |
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| Abstract: | In this paper, the asymptotical p-moment stability of
stochastic impulsive differential equations is studied and a
comparison theory to ensure the asymptotical p-moment stability of
the trivial solution is established, which is important for studying
the impulsive control and synchronization in stochastic systems. As
an application of this theory, we study the problem of chaos
synchronization in the Chen system excited by parameter white-noise
excitation, by using the impulsive method. Numerical simulations
verify the feasibility of this method. |
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| Keywords: | p-moment stability impulsive stochastic
differential equations chaos synchronization |
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