A new delay-distribution-dependent robust stability criterion for uncertain systems with time-varying delay
会议名称：《2011 Chinese Control and Decision Conference（CCDC）》
会议日期：2011年
学科分类：0711[理学-系统科学] 07[理学] 08[工学] 081101[工学-控制理论与控制工程] 0811[工学-控制科学与工程] 071102[理学-系统分析与集成] 081103[工学-系统工程]
基 金：supported by the fund of Heilongjiang Education Committee for Overseas Scholars under Grant No. 1152HZ01 the Fund of Heilongjiang Education Committee under Grant No. 11541264 the Fund of Heilongjiang University Academic Scientific and Technological Innovation of Students under Grant No. 2010196
关 键 词：random delay robust stability EMSS probability distribution
摘 要：This paper investigates the problem of robust stability for a class of continuous-time linear uncertain systems with time-delay state delay which has probability *** using the information of delay-distribution and constructing an appropriate Lyapunov-Krasovskii functional,a robust Exponential Mean Square Stability （EMSS） criterion of systems is *** criterion given by this paper does not need to bring in any free weighting matrices,which reduces the computational complexity,and it also indicates that the conservativeness of the robust EMSS criterion will not be weaker when the number of free weighting matrices ***,a numerical example is given to illustrate the feasibility and effectiveness of the proposed method.