New result on exponential stability for singular systems with two interval time-varying delays

被引：15

作者：

Chen, Huabin ^{[1
]}

Hu, Peng ^{[2
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

[2] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei, Peoples R China

来源：

IET CONTROL THEORY AND APPLICATIONS | 2013年 / 7卷 / 15期

关键词：

asymptotic stability; delays; linear matrix inequalities; Lyapunov methods; stability criteria; time-varying systems; exponential stability; interval time-varying delays; modified Lyapunov-Krasovskii functional; LKF; convex polyhedron method; delay-dependent stability criteria; singular time-delay systems; DEPENDENT ROBUST STABILITY; UNCERTAIN DESCRIPTOR SYSTEMS; H-INFINITY-CONTROL; LINEAR-SYSTEMS; STATE-DELAY; DISCRETE; STABILIZATION; CRITERIA; IMPROVEMENT; DESIGN;

D O I：

10.1049/iet-cta.2013.0396

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 article mainly studies the problem of the exponential stability for singular systems with two interval time-varying delays. By constructing a modified Lyapunov-Krasovskii functional (LKF) and utilising a convex polyhedron method to estimate the derivative of LKF, some new delay-dependent criteria can be established in terms of linear matrix inequalities. Compared with some existing literatures, the novelties in this study are that the needed decisive variables are fewer and the obtained delay-dependent stability criteria are less conservative. Finally, two illustrative numerical examples are given to show the effectiveness of the derived results.

引用

页码：1941 / 1949

页数：9

共 51 条

[1]

[Anonymous], 1989, SINGULAR CONTROL SYS, DOI DOI 10.1007/BFB0002475

[2] Delay-dependent exponential stabilization for uncertain linear systems with interval non-differentiable time-varying delays [J].

Botmart, T. ;

Niamsup, P. ;

Phat, V. N. .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (21) :8236-8247

[3] On stability and stabilizability of singular stochastic systems with delays [J].

Boukas, EK ;

Xu, S ;

Lam, J .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2005, 127 (02) :249-262

[4]

Boukas EK, 2008, COMMUN CONTROL ENG, P3

[5] On Exponential Stability Conditions of Descriptor Systems with Time-Varying Delay [J].

Cong, S. ;

Sheng, Z. -B. .

JOURNAL OF APPLIED MATHEMATICS, 2012,

[6] NEW DELAY-DEPENDENT ROBUST STABILITY OF DISCRETE SINGULAR SYSTEMS WITH TIME-VARYING DELAY [J].

Du, Zhaoping ;

Zhang, Qingling ;

Liu, Lili .

ASIAN JOURNAL OF CONTROL, 2011, 13 (01) :136-147

[7] H∞-control of linear state-delay descriptor systems:: an LMI approach [J].

Fridman, E ;

Shaked, U .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 351 :271-302

[8] Stability of linear descriptor systems with delay: a Lyapunov-based approach [J].

Fridman, E .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 273 (01) :24-44

[9] Further Results on Exponential Estimates of Markovian Jump Systems With Mode-Dependent Time-Varying Delays [J].

Gao, Huijun ;

Fei, Zhongyang ;

Lam, James ;

Du, Baozhu .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2011, 56 (01) :223-229

[10]

GU K., 2003, CONTROL ENGN SER BIR

← 1 2 3 4 5 6 →