具分布型时滞随机系统的时滞相关稳定性(英文)  

Delay-Dependent Stability of Stochastic Systems with Distributed Delay

作　　者：包俊东[1] 邓飞其[1] 罗琦[1] 

机构地区：[1]华南理工大学自动化科学与工程学院

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2004年第1期12-16,共5页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：ResearchSupportedbytheNationalNaturalScienceFoundationofChina(698740 15 ;693 3 40 3 0 ) ;ProjectFinancedbyNaturalScienceFoundationofInnerMongolia(2 0 0 3 0 80 2 0 10 1)

摘　　要：研究了具有不确定性时滞的一类线性随机微分系统的依概率鲁棒全局渐近稳定性和均方意义下的指数稳定性 ,旨在研究更为广泛的一类线性随机滞后微分系统的稳定性 .利用LMI方法 ,得到了分布时滞和离散时滞系统保守性较小的时滞相关的稳定性充分性判据 .In this paper,the robust globally asymptotically stable in probability and exponential stability in mean square of a class of linear stochastic systems with uncertain delay is probed.The purpose of this thesis is to state delay-dependent criteria for the robust stability for a class of more generalized linear stochastic systems with distributed delay.And the delay-dependent sufficient conditions of robust globally asymptotically stable in probability,further more,the exponential stability in mean square are given for distributed delay systems and the usual discrete delay systems based on the LMIs approach.

关 键 词：分布型时滞随机系统 时滞相关稳定性 LMI方法 时滞相关判据 依概率全局渐近稳定 均方指数稳定 SCHUR余 

分 类 号：O175.13[理学—数学]