%0 Journal Article
%T Exponential Stability of Differential Systems with Impulsive Effect on Random Moments
随机脉冲微分系统指数稳定性
%A TUN Shu-Jin
%A
吴述金
%J 数学物理学报(A辑)
%D 2005
%I
%X 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.
%K Impulsive differential systems
%K p-moment exponential stability
%K Almost sure exponential stability
%K Liapunov function
随机脉冲微分系统
%K p阶矩指数稳定
%K 几乎必然指数稳定
%K Liapunov函数
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=8452B97A4F5ECC65&yid=2DD7160C83D0ACED&vid=C5154311167311FE&iid=B31275AF3241DB2D&sid=7B927C26AC9ED104&eid=B3645A659773B73C&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=12