Delay-Dependent Stability Analysis for Linear System with Time-Varying Delay: a PAM Method

被引：2
|
作者：
Zhao, Xia [1 ]
Song, Jin [1 ]
Tian, Engang [2 ]
Peng, Chen [2 ]
机构：
[1] Nanjing Coll Informat Technol, Nanjing 210046, Peoples R China
[2] Nanjing Normal Univ, Sch Elect & Automat Engn, Nanjing 210046, Jiangsu, Peoples R China
来源：
CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS | 2009年
关键词：
Delay Dependent; Piecewise Analysis Method (PAM); Lyapunov functional; Interval Time-Varying Delay; H-INFINITY CONTROL; ROBUST STABILITY; UNCERTAIN SYSTEMS; CRITERIA;
D O I：
10.1109/CCDC.2009.5192366
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A piecewise analysis method (PAM) is proposed to investigate the stability of linear system with time-varying 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.
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页码：1422 / +
页数：2
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