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具有区间时滞的不确定性随机时滞系统的时滞相关鲁棒稳定性
引用本文:张艳,何勇,吴敏.具有区间时滞的不确定性随机时滞系统的时滞相关鲁棒稳定性[J].自动化学报,2009,35(5):577-582.
作者姓名:张艳  何勇  吴敏
作者单位:1.中南大学信息科学与工程学院 长沙 410083
基金项目:国家自然科学基金,the Doctor Subject Foundation of China,the Program for New Century Excel-lent Talents in University,湖南省自然科学基金 
摘    要:针对具有区间时滞的不确定性随机时滞系统, 进行稳定性分析. 通过考虑变时滞、时滞的上界及它们的差三者之间的关系, 并应用公式和Lyapunov稳定性理论, 在不忽略任何有用项的前提下, 得到改进的具有区间时滞的随机系统的稳定性判据. 数值实例验证了该方法的有效性.

关 键 词:不确定性随机系统    鲁棒稳定性    区间时滞    线性矩阵不等式
收稿时间:2008-4-22
修稿时间:2008-12-12

Delay-dependent Robust Stability for Uncertain Stochastic Systems with Interval Time-varying Delay
ZHANG Yan HE Yong WU Min.School of Information Science , Engineering,Central South University,Changsha ,P.R.China.Delay-dependent Robust Stability for Uncertain Stochastic Systems with Interval Time-varying Delay[J].Acta Automatica Sinica,2009,35(5):577-582.
Authors:ZHANG Yan HE Yong WU MinSchool of Information Science  Engineering  Central South University  Changsha  PRChina
Affiliation:1.School of Information Science and Engineering, Central South University, Changsha 410083, P.R. China
Abstract:This paper is concerned with the stability analysis for uncertain stochastic systems with interval time-varying delay. Improved delay-dependent robust stability criteria of uncertain stochastic systems with interval time-varying delay axe proposed without ignoring any terms by considering the relationship among the time-vaxying delay,its upper bound,and their difierence,and using both Ito's differential formula and Lyapunov stability theory.A numerical example is given to illustrate the effectiveness and the benefit of the proposed method.
Keywords:Uncertain stochastic systems  robust stability  interval time-varying delay  linear matrix inequality(LMI)
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