A tight small-gain theorem for not necessarily ISS systems

被引：66
作者：
Angeli, David [1 ]
Astolfi, Alessandro
机构：
[1] Univ Florence, Dept Comp Sci & Syst, Florence, Italy
[2] Univ London Imperial Coll Sci Technol & Med, Dept Elect & Elect Engn, London SW7 2AZ, England
[3] Univ Roma Tor Vergata, Dipartimento Informat Sistemi & Prod, I-00133 Rome, Italy
来源：
SYSTEMS & CONTROL LETTERS | 2007年 / 56卷 / 01期
关键词：
small-gain theorem; input-to-state stability; integral input-to-state stability; global asymptotic stability;
D O I：
10.1016/j.sysconle.2006.08.003
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A new version of the small-gain theorem is presented for nonlinear finite dimensional systems. The result provides conditions for global asymptotic stability under relaxed assumptions, in particular the two interconnected subsystems need not be input-to-state stable in open loop. (c) 2006 Elsevier B.V. All rights reserved.
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页码：87 / 91
页数：5
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