Piecewise Lyapunov functions for robust stability of linear time-varying systems

被引：136
作者：
Xie, L
Shishkin, S
Fu, MY
机构：
[1] UNIV NEWCASTLE,DEPT ELECT & COMP ENGN,NEWCASTLE,NSW 2308,AUSTRALIA
[2] RUSSIAN ACAD SCI,INST INFORMAT & AUTOMATIZAT,ST PETERSBURG 199178,RUSSIA
来源：
SYSTEMS & CONTROL LETTERS | 1997年 / 31卷 / 03期
基金：
澳大利亚研究理事会;
关键词：
robust stability; piecewise Lyapunov function; S-procedure; linear matrix inequality;
D O I：
10.1016/S0167-6911(97)00027-3
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we investigate the use of two-term piecewise quadratic Lyapunov functions for robust stability of linear time-varying systems. By using the so-called S-procedure and a special variable reduction method, we provide numerically efficient conditions for the robust asymptotic stability of the linear time-varying systems involving the convex combinations of two matrices. An example is included to demonstrate the usefulness of our results. (C) 1997 Elsevier Science B.V.
引用
收藏
页码：165 / 171
页数：7
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