一类随机脉冲微分系统的稳定性  

Stability of Differential Systems with Impulsive Effect on Random Moments

作　　者：熊双平[1] 

机构地区：[1]上海师范大学数理信息学院,上海201418

出　　处：《应用数学》2005年第2期279-285,共7页Mathematica Applicata

基　　金：教育部博士点基金项目(20020269015)

摘　　要：本文给出了随机脉冲微分系统零解的最终稳定性的定义,利用Liapunov函数,得到了非线性随机脉冲微分系统零解一致最终稳定性及一致最终渐进稳定性和最终不稳定的充分条件.We give the definition of stability of the zero soluti on of differential systems with impulsive effect on random moments.Then by method of Liapunov function,we obtain the sufficient conditions for uniform eventual st ability,asymptotic eventual stability,uniformly asymptotic eventual stability an d eventual instability to the zero solution of the differential systems with imp ulsive effect on random moments.

关 键 词：脉冲微分系统 LIAPUNOV函数 稳定性 随机脉冲 

分 类 号：O211.6[理学—概率论与数理统计]