Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (6): 789-798.

• Articles • Previous Articles     Next Articles

Exponential Stability of Differential Systems with Impulsive Effect on Random Moments

 TUN Shu-Jin   

  • Online:2005-12-24 Published:2005-12-24
  • Supported by:

    国家自然科学基金(10371074)部分资助

Abstract:

The model of nonlinear differential systems with impulsive effect on random mome nts is brought forward by author in this paper. Then, some sufficient condition s for p moment exponential stability and almost surely exponential stab ilit y 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.

Key words: Impulsive differential systems, p moment expone ntial stability, Almost sure exponential stability, Liapunov function.

CLC Number: 

  • 34A37
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