一类脉冲随机微分系统的几乎必然指数稳定性  

Almost Surely Exponential Stability for a Class of Impulsive Stochastic Differential Systems

作　　者：苏春华[1] 沈雪梅[2] 

机构地区：[1]信阳师范学院数学与信息科学学院,河南信阳464000 [2]信阳职业技术学院数学与计算机科学学院,河南信阳464000

出　　处：《信阳师范学院学报（自然科学版）》2014年第3期323-327,370,共6页Journal of Xinyang Normal University(Natural Science Edition)

基　　金：河南省自然科学基金项目(132300410329)

摘　　要：研究了一类脉冲随机微分系统几乎必然指数稳定性问题.利用Lyapunov函数法和随机分析理论,得到了系统随几乎必然指数稳定和不稳定的条件.基于该条件,探讨了其在灰色脉冲随机微分系统上的应用.The almost surely exponential stability for a class of impulsive stochastic differential systems was investigated. By using Lyapunov function method and stochastic analysis theory,the conditions for the almost surely exponential stability and instability were obtained and their applications to grey impulsive stochastic differential systems were discussed.

关 键 词：脉冲 随机系统 稳定性 灰色系统 

分 类 号：O211.63[理学—概率论与数理统计]