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物理学报  2009 

p-moment stability of stochastic impulsive differential equations and impulsive synchronization of Lorenz system excited by parameter white-noise
随机脉冲微分方程的p阶矩稳定性和参激白噪声作用下Lorenz系统的脉冲同步

Keywords: stochastic impulsive differential equations,p-moment stability,impulsive,synchronization
随机脉冲微分方程,
,p阶矩稳定性,,脉冲,,同步

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Abstract:

In this paper, the p-moment stability of impulsive differential equations is considered. A theory about this problem under a weak condition and an assumption which is more familiar in impulsive system is proved. As an application, the impulsive synchronization of Lorenz system excited by white-noise is considered, the p-moment stability of error system is proved, so the synchronization can be realized using impulsive method under p-moment stability. Numerical simulation verify the feasibility of this synchronization method.

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