Novel delay-derivative-dependent stability criteria using new bounding techniques

被引：135

作者：

Zhang, Xian-Ming ^{[1
]}

Han, Qing-Long ^{[1
,2
]}

机构：

[1] Cent Queensland Univ, Ctr Intelligent & Networked Syst, Rockhampton, Qld 4702, Australia

[2] Cent Queensland Univ, Sch Informat & Commun Technol, Rockhampton, Qld 4702, Australia

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2013年 / 23卷 / 13期

基金：

澳大利亚研究理事会;

关键词：

stability; interval time-varying delay; delay-derivative-dependent stability; bounding technique; integral inequality; INTEGRAL INEQUALITY APPROACH; ROBUST STABILITY; ABSOLUTE STABILITY; LINEAR-SYSTEMS; TIME;

D O I：

10.1002/rnc.2829

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 studies the stability of linear systems with interval time-varying delays. By constructing a new Lyapunov-Krasovskii functional, two delay-derivative-dependent stability criteria are formulated by incorporating with two different bounding techniques to estimate some integral terms appearing in the derivative of the Lyapunov-Krasovskii functional. The first stability criterion is derived by using a generalized integral inequality, and the second stability criterion is obtained by employing a reciprocally convex approach. When applying these two stability criteria to check the stability of a linear system with an interval time-varying delay, it is shown through some numerical examples that the first stability criterion can provide a larger upper bound of the time-varying delay than the second stability criterion. Copyright (c) 2012 John Wiley & Sons, Ltd.

引用

页码：1419 / 1432

页数：14

共 22 条

[1] New conditions for delay-derivative-dependent stability [J].

Fridman, Emilia ;

Shaked, Uri ;

Liu, Kun .

AUTOMATICA, 2009, 45 (11) :2723-2727

[2]

GU K., 2003, CONTROL ENGN SER BIR

[3] Absolute stability of Lur'e systems with time-varying delay [J].

Han, Q.-L. ;

Yue, D. .

IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (03) :854-859

[4] A discrete delay decomposition approach to stability of linear retarded and neutral systems [J].

Han, Qing-Long .

AUTOMATICA, 2009, 45 (02) :517-524

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

Han, QL .

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

[6] Robust stability of linear neutral systems with nonlinear parameter perturbations [J].

Han, QL ;

Yu, L .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2004, 151 (05) :539-546

[7]

Han QL, 2004, COMPUT MATH APPL, V47, P1201, DOI 10.1016/j.camwa.2004.04.005

[8] New results for delay-dependent stability of linear systems with time-varying delay [J].

Han, QL .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2002, 33 (03) :213-228

[9] New stability criteria for linear systems with interval time-varying delay [J].

Jiang, Xiefu ;

Han, Qing-Long .

AUTOMATICA, 2008, 44 (10) :2680-2685

[10] Asymptotic and robust stability of T-S fuzzy genetic regulatory networks with time-varying delays [J].

Liu, Jinliang ;

Yue, Dong .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2012, 22 (08) :827-840

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