中国物理B ›› 2010, Vol. 19 ›› Issue (3): 30512-030512.doi: 10.1088/1674-1056/19/3/030512

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Asymptotical p-moment stability of stochastic impulsive differential system and its application to chaos synchronization

徐伟1, 陆朝阳1, 牛玉俊2   

  1. (1)Department of Applied Math, Northwestern Polytechnical University, Xi'an 710072, China; (2)Department of Math and Statistics, Nanyang Normal University, Nanyang 473061, China
  • 收稿日期:2008-12-15 修回日期:2009-07-06 出版日期:2010-03-15 发布日期:2010-03-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No.~10872165).

Asymptotical p-moment stability of stochastic impulsive differential system and its application to chaos synchronization

Niu Yu-Jun(牛玉俊)a)†, Xu Wei(徐伟)b), and Lu Zhao-Yang(陆朝阳)b)   

  1. a Department of Math and Statistics, Nanyang Normal University, Nanyang 473061, China; b Department of Applied Math, Northwestern Polytechnical University, Xi'an 710072, China
  • Received:2008-12-15 Revised:2009-07-06 Online:2010-03-15 Published:2010-03-15
  • Supported by:
    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.

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.

Key words: p-moment stability, impulsive, stochastic differential equations, chaos synchronization

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Pq (Numerical simulations of chaotic systems) 05.45.Gg (Control of chaos, applications of chaos) 02.50.Ey (Stochastic processes) 05.40.Ca (Noise)