A degree of flexibility in Lyapunov inequalities for establishing Input-to-State Stability of interconnected systems

被引：10
|
作者：
Ito, Hiroshi [1 ]
机构：
[1] Kyushu Inst Technol, Dept Syst Innovat & Informat, Iizuka, Fukuoka 8208502, Japan
来源：
AUTOMATICA | 2008年 / 44卷 / 09期
基金：
日本学术振兴会;
关键词：
nonlinear systems; interconnected systems; Input-to-State Stability; small-gain condition; Lyapunov functions;
D O I：
10.1016/j.automatica.2008.01.001
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, a novel approach to constructing flexible Lyapunov inequalities is developed for establishing Input-to-State Stability (ISS) of interconnection of nonlinear time-varying systems. it aims at a useful tool for using nonlinear small-gain conditions by allowing some flexibility in Lyapunov inequalities each subsystem is to satisfy. In the application of the ISS small-gain "theorem", achieving a Lyapunov inequality conforming to a nonlinear small-gain "condition" is not a straightforward task. The proposed technique Provides us with many Lyapunov inequalities with which a single trade-off condition between subsystems gains can establish the ISS property of the interconnected system. Proofs are based on explicit construction of Lyapunov functions. (c) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2340 / 2346
页数：7
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