Stability of nonlinear feedback systems: A new small-gain theorem

被引：9

作者：

Chen, Anna L. ^{[2
]}

Chen, Gui-Qiang ^{[1
]}

Freeman, Randy A. ^{[2
]}

机构：

[1] Northwestern Univ, Dept Math, Evanston, IL 60208 USA

[2] Northwestern Univ, Dept Elect Engn & Comp Sci, Evanston, IL 60208 USA

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2007年 / 46卷 / 06期

关键词：

small-gain theorem; conditional gain; dissipativity; performance analysis; nonlinear systems; feedback connection;

D O I：

10.1137/S0363012904440812

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For the feedback interconnection of general nonlinear systems, the classical small-gain condition is sufficient but not necessary for robust stability. We introduce a weaker notion of gain which yields a small-gain condition that is both necessary and sufficient for robust stability. We also discuss conditions under which the two notions coincide, and we further provide results for dissipation performance measures that are more general than the classical gain measures.

引用

页码：1995 / 2012

页数：18

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