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脉冲随机微分系统的均方指数稳定性分析
引用本文:陈涵,杨树杰,牟朝霞.脉冲随机微分系统的均方指数稳定性分析[J].海军航空工程学院学报,2014,29(3):296-300.
作者姓名:陈涵  杨树杰  牟朝霞
作者单位:[1]海军航空工程学院研究生管理大队,山东烟台264001 [2]海军航空工程学院基础部,山东烟台264001 [3]海军航空工程学院军事教育与训练系,山东烟台264001
摘    要:研究了脉冲随机时滞微分泛函方程的均方指数稳定性问题。利用Lyapunov-Razumikhin型方法及随机分析的一些技巧,建立了一类脉冲随机泛函微分方程的均方指数稳定性定理。

关 键 词:脉冲随机微分方程  均方指数稳定  Lyapunov-Krasovskii函数

Mean Square Exponential Stability Analysis of Pulse Randomly Differential Systems
CHEN Han,YANG Shu-jie and MU Zhao-xia.Mean Square Exponential Stability Analysis of Pulse Randomly Differential Systems[J].Journal of Naval Aeronautical Engineering Institute,2014,29(3):296-300.
Authors:CHEN Han  YANG Shu-jie and MU Zhao-xia
Institution:(Naval Aeronautical ang Astronautical University a. Graduate Students' Brigade; b. Department of Basic Sciences; c. Department of Military Education and Training, Yantai Shandong 264001, China)
Abstract:In this paper, the mean square exponential stability analysis of impulsive stochastic functional differential systems with delays was concerned. On the basis of the Lyapunov-Razumikhin method and stochastic 'analysis techniques, some general criteria were established for mean square exponential stability.
Keywords:pulse randomly differential equation  mean square exponential stability  LYapunov-Krasovskii function
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