节点文献
随机脉冲微分系统指数稳定性
Exponential Stability of Differential Systems with Impulsive Effect on Random Moments
【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(td,tx(t))定负.最后,给出一个例子说明所得结果的应用.
【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.
【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.;
【Key words】 Impulsive differential systems; p-moment exponential stability; Almost sure exponential stability; Liapunov function.;
【Key words】 Impulsive differential systems; p-moment exponential stability; Almost sure exponential stability; Liapunov function.;
【基金】 国家自然科学基金(10371074)部分资助
- 【文献出处】 数学物理学报 ,Acta Mathematiea Scientia , 编辑部邮箱 ,2005年06期
- 【分类号】O175.13
- 【被引频次】6
- 【下载频次】202