A small-gain condition for iISS of interconnected retarded systems based on Lyapunov-Krasovskii functionals

被引：53

作者：

Ito, Hiroshi ^{[1
]}

Pepe, Pierdomenico ^{[2
]}

Jiang, Zhong-Ping ^{[3
]}

机构：

[1] Kyushu Inst Technol, Dept Syst Design & Informat, Iizuka, Fukuoka 8208502, Japan

[2] Univ Aquila, Elect & Informat Engn Dept, I-67040 Laquila, Italy

[3] NYU, Polytech Inst, Dept Elect & Comp Engn, Metrotech Ctr 6, Brooklyn, NY 11201 USA

来源：

AUTOMATICA | 2010年 / 46卷 / 10期

基金：

美国国家科学基金会;

关键词：

Time-delay; Nonlinear systems; Interconnected systems; Lyapunov-Krasovskii functionals; Integral input-to-state stability; TO-STATE STABILITY; TIME-DELAY SYSTEMS; THEOREM; ISS;

D O I：

10.1016/j.automatica.2010.06.037

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers interconnected retarded nonlinear systems. Integral input-to-state stable subsystems and the construction of Lyapunov-Krasovskii functionals for their interconnections are focused on. Both discrete and distributed time-delays in the subsystems and the communication channels are covered. This paper provides a sufficient small-gain type condition for the stability of the interconnected systems with respect to external inputs in the framework of Lyapunov-Krasovskii functionals. Global asymptotic stability is addressed as a special case which deals with time-varying delays in communication channels effectively. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1646 / 1656

页数：11

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