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.
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页码：2340 / 2346
页数：7
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