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OALib Journal期刊
ISSN: 2333-9721
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Exponential Stability of Differential Systems with Impulsive Effect on Random Moments
随机脉冲微分系统指数稳定性

Keywords: Impulsive differential systems,p-moment exponential stability,Almost sure exponential stability,Liapunov function
随机脉冲微分系统
,p阶矩指数稳定,几乎必然指数稳定,Liapunov函数

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Abstract:

The model of nonlinear differential systems with impulsive effect on random moments is brought forward by author in this paper. Then, some sufficient conditions for p-moment exponential stability and almost surely exponential stability of the trivial solution to the systems are presented, in which $dV(t,x(t))dt$ isn't required to be negative definite. Finally, an example is illustrated to show the application of the obtained results.

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