Absolute stability criteria for a class of nonlinear singular systems with time delay

被引：68

作者：

Wang, Huijiao ^{[1
,2
]}

Xue, Anke ^{[3
]}

Luc, Renquan ^{[3
]}

机构：

[1] Zhejiang Univ, Natl Lab Ind Control Technol, Hangzhou 310027, Peoples R China

[2] Zhejiang Sci Tech Univ, Inst Automat, Hangzhou 310018, Peoples R China

[3] Hangzhou Dianzi Univ, Inst Informat & Control, Hangzhou 310018, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Nonlinear singular systems; Time delay; Absolute stability; Sector-bounded nonlinearity; Linear matrix inequality (LMI); LURE CONTROL-SYSTEMS; ROBUST STABILITY; DESCRIPTOR SYSTEMS; STATE-DELAY; STABILIZATION; SYNCHRONIZATION;

D O I：

10.1016/j.na.2007.12.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the problem of absolute stability for a class of time-delay singular systems with sector-bounded nonlinearity. Both delay-independent and delay-dependent criteria are presented and formulated in the form of linear matrix inequalities (LMIs). Neither model transformation nor a bounding technique for cross-terms, nor a slack variable method is involved in obtaining the stability criteria. Numerical examples are given to show the effectiveness and improvements over some existing results. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：621 / 630

页数：10

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