ROBUST STABILITY ANALYSIS OF TIME-VARYING SYSTEMS USING TIME-VARYING QUADRATIC-FORMS

被引：4

作者：

SHAMMA, JS

机构：

[1] Department of Aerospace Engineering and Engineering Mechanics, The University of Texas at Austin, Austin

来源：

SYSTEMS & CONTROL LETTERS | 1995年 / 24卷 / 01期

基金：

美国国家科学基金会;

关键词：

ROBUST STABILITY; STRUCTURED UNCERTAINTY; TIME-VARYING SYSTEMS; QUADRATIC FORMS;

D O I：

10.1016/0167-6911(94)00010-S

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We consider the robust stability of time-varying linear systems subject to structured time-varying uncertainty. We provide an alternate proof of the result that robust stability holds if and only if a scaled small-gain condition holds asymptotically. The new proof employs an extension of the so-called S-procedure losslessness theorem to time-varying quadratic forms which is of independent interest.

引用

页码：13 / 17

页数：5