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数学物理学报(A辑) 2005
Exponential Stability of Differential Systems with Impulsive Effect on Random Moments
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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.