Delay-Dependent Stability Analysis for Linear System with Time-Varying Delay: a PAM Method
A piecewise analysis method (PAM) is proposed to investigate the stability of linear system with timevarying delay and uncertainties. Different 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 length. Respecting 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 subintervals. Then, 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 systems. The given numerical examples show that the derived criteria can lead to much less conservative results than those obtained based on the existing methods.
Delay Dependent Piecewise Analysis Method (PAM) Lyapunov functional Interval Time-Varying Delay
Xia Zhao Jin Song Engang Tian Chen Peng
Nanjing College of Information Technology, Nanjing, 210046, P. R. China School of Electrical and Automation engineering, Nanjing NormalUniversity, Nanjing, 210046, P. R. Ch
国际会议
2009年中国控制与决策会议(2009 Chinese Control and Decision Conference)
广西桂林
英文
1422-1426
2009-06-17（万方平台首次上网日期，不代表论文的发表时间）