数学物理学报 ›› 2005, Vol. 25 ›› Issue (6): 789-798.

• 论文 • 上一篇    下一篇

随机脉冲微分系统指数稳定性

 吴述金   

  1. 华东师范大学统计系 上海 200062
  • 出版日期:2005-12-24 发布日期:2005-12-24
  • 基金资助:

    国家自然科学基金(10371074)部分资助

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

摘要:

该文首先给出了具有随机脉冲时刻影响的非线性微分系统 模型,然后得到了该模型零解的p阶矩指数稳定和几乎必然指数稳定的充分条件,在所得结果中不要求dV(t,x(t)) /dt定负.最后,给出一个例子说明所得结果的应用.

关键词: 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

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.

中图分类号: 

  • 34A37