Delay-Dependent Stability Analysis for Linear System with Time-Varying Delay:a PAM Method
会议名称：《2009中国控制与决策会议》
会议日期：2009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 Nanjing College of Information Technology foundation under Grant YKJ08-014 National Nature Science Foundation under Grant 60774060 and 60704024
关 键 词：Delay Dependent Piecewise Analysis Method(PAM) Lyapunov functional Interval Time-Varying Delay
摘 要：正A piecewise analysis method（PAM） is proposed to investigate the stability of linear system with time- varying delay and *** from the existing methods in dealing with the time-varying delay,the whole variation interval of the delay is divided into two subintervals with equal *** for the delay belongs to different subintervals,new criteria on stability analysis of the time delay systems are obtained by checking the variation of the derivative of the Lyapunov functional in the two ***,by using the convexity properties of matrix inequality and some other new analysis techniques,new criteria are obtained for the asymptotical stable of the time delay *** given numerical examples show that the derived criteria can lead to much less conservative results than those obtained based on the existing methods.