A Lyapunov formulation of the nonlinear small-gain theorem for interconnected ISS systems

被引：494

作者：

Jiang, ZP

Mareels, IMY

Wang, Y

机构：

[1] AUSTRALIAN NATL UNIV,FEIT,DEPT ENGN,CANBERRA,ACT 0200,AUSTRALIA

[2] FLORIDA ATLANTIC UNIV,DEPT MATH,BOCA RATON,FL 33431

来源：

AUTOMATICA | 1996年 / 32卷 / 08期

基金：

美国国家科学基金会;

关键词：

interconnected systems; nonlinear gain; Lyapunov function; stability;

D O I：

10.1016/0005-1098(96)00051-9

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The goal of this paper is to provide a Lyapunov statement and proof of the recent nonlinear small-gain theorem for interconnected input/state-stable (ISS) systems, An ISS-Lyapunov function for the overall system is obtained from the corresponding Lyapunov functions for both the subsystems. Copyright (C) 1996 Elsevier Science Ltd.

引用

页码：1211 / 1215

页数：5

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[11] ON CHARACTERIZATIONS OF THE INPUT-TO-STATE STABILITY PROPERTY [J].