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

被引：137

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

页码：165 / 171

页数：7

共 12 条

[1]

[Anonymous], 1971, VESTNIK LENINGRADSKO

[2] METHOD OF POWER-TRANSFORMATIONS FOR ANALYSIS OF STABILITY OF NON-LINEAR CONTROL-SYSTEMS [J].