New delay-dependent condition for absolute stability of Lurie control systems with multiple time-delays and nonlinearities

被引：30

作者：

Cao, Jiuwen ^{[1
]}

Zhong, Shouming ^{[1
]}

机构：

[1] Univ Elect Sci & Technol China, Coll Appl Math, Chengdu 610054, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 194卷 / 01期

关键词：

Lurie system; multiple delays; absolute stability; modulatory matrix; LMI control tool-box;

D O I：

10.1016/j.amc.2007.04.034

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The absolute stability of Lurie system with multiple time-delays and nonlinearities is considered in this paper. Based on the Lyapunov stability theory and the approaches of decomposing the matrices and adding modulatory matrices, a novel delay-dependent sufficient condition for the absolute stability is derived and expressed in the form of the linear matrix inequality (LMI). A numerical example shows that the result obtained in this paper improved the estimate of the stability limit over some existing results. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：250 / 258

页数：9

共 16 条

[1]

AIZEMAN MA, 1964, ABSOLUTE STABILITY R

[2] Lyapunov-Krasovskii functionals and frequency domain: delay-independent absolute stability criteria for delay systems [J].

Bliman, PA .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2001, 11 (08) :771-788

[3]

Boy S., 1994, Linear MatrixInequalities in System and Control Theory

[4]

Chen Dong-yan, 2005, Control Theory & Applications, V22, P499

[5] Lyapunov functional for multiple delay general Lurie systems with multiple non-linearities [J].

Gan, ZX ;

Ge, WG .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 259 (02) :596-608

[6] An integral inequality in the stability problem of time-delay systems [J].

Gu, KQ .

PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, :2805-2810

[7] Absolute stability of time-delay systems with sector-bounded nonlinearity [J].

Han, QL .

AUTOMATICA, 2005, 41 (12) :2171-2176

[8] Absolute stability for multiple delay general Lur'e control systems with multiple nonlinearities [J].

He, Y ;

Wu, M .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2003, 159 (02) :241-248

[9]

Khalil H. K., 2002, NONLINEAR SYSTEMS, V3

[10]

LIAO XX, 1993, ABSOLUTE STABIILITY

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