脉冲随机泛函微分系统的稳定性  

Stability of Impulsive Stochastic Functional Differential Systems

作　　者：苏春华[1] 

机构地区：[1]信阳师范学院数学与信息科学学院

出　　处：《应用数学学报》2014年第5期835-846,共12页Acta Mathematicae Applicatae Sinica

基　　金：河南省自然科学基金(132300410329)资助项目

摘　　要：本文研究了脉冲随机泛函微分系统的稳定性问题.利用Lyapunov泛函法、随机分析理论和Dini导数,得到了该系统随机稳定性和指数稳定性的条件.基于所得的稳定性条件,讨论了脉冲随机线性时滞系统的稳定性.实例表明,所得结果是有效的和实用的.In this paper, we investigate the stability of impulsive stochastic functional differential systems. By using the Lyapunov functional method and stochastic analysis theory and Dini derivative, some novel conditions of stochastic stability and mean square exponential stability for such a system are derived, respectively. Based on the obtained results, we further study the stability of impulsive stochastic linear systems with delay. Two examples are given to illustrate the effectiveness and practicality of the presented criteria.

关 键 词：脉冲 随机系统 稳定性 DINI导数 

分 类 号：O211.63[理学—概率论与数理统计] O231.3[理学—数学]