Absolute exponential stability criteria for a class of nonlinear time-delay systems

被引：24

作者：

Zhang, Baoyong ^{[1
]}

Lam, James ^{[2
]}

Xu, Shengyuan ^{[1
]}

Shu, Zhan ^{[2
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China

[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 03期

基金：

美国国家科学基金会;

关键词：

Absolute stability; Exponential stability; Time delay; Nonlinear systems; Sector condition; LURE CONTROL-SYSTEMS; ROBUST STABILITY; NEURAL-NETWORKS; DISCRETE; STABILIZATION;

D O I：

10.1016/j.nonrwa.2009.04.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the problem of absolute exponential stability analysis for a class of continuous-time systems with sector-bounded nonlinearities and interval time-varying delays. Absolute exponential stability criteria, which depend not only on the delay range but also on the decay rate, are derived by using a novel Lyapunov functional These criteria are expressed in the form of linear matrix inequalities (LMIs) and they can easily be checked. By solving these LMIs, estimates of the exponential decay rate and decay coefficient are obtained A numerical example is provided to demonstrate the effectiveness of the proposed method. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1963 / 1976

页数：14

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