Stability analysis of neutral systems with distributed delays

被引：66

作者：

Li, Xu-Guang ^{[1
]}

Zhu, Xin-Jian ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200030, Peoples R China

来源：

AUTOMATICA | 2008年 / 44卷 / 08期

关键词：

delay; stability; neutral systems; distributed delay; linear matrix inequality (LMI);

D O I：

10.1016/j.automatica.2007.12.009

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The stability of neutral systems with distributed delays is investigated in this paper. A modified Lyapunov-Krasovskii functional is constructed to study this class of systems. The proposed stability criterion is discrete-, distributed- and neutral-delay-dependent. In addition, by this method one can study the case when the coefficient matrix of the neutral delay term is time-varying uncertain. The reduced conservatism is illustrated in a numerical example. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：2197 / 2201

页数：5

共 18 条

[1]

[Anonymous], 2003, STABILITY TIME DELAY

[2]

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

[3] Delay-dependent robust stabilization for uncertain neutral systems with distributed delays [J].

Chen, Wu-Hua ;

Zheng, Wei Xing .

AUTOMATICA, 2007, 43 (01) :95-104

[4] A MULTISTAGE REDUCTION TECHNIQUE FOR FEEDBACK STABILIZING DISTRIBUTED TIME-LAG SYSTEMS [J].

FIAGBEDZI, YA ;

PEARSON, AE .

AUTOMATICA, 1987, 23 (03) :311-326

[5] An improved stabilization method for linear time-delay systems [J].

Fridman, E ;

Shaked, U .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1931-1937

[6] New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems [J].

Fridman, E .

SYSTEMS & CONTROL LETTERS, 2001, 43 (04) :309-319

[7] Stability of perturbed systems with time-varying delays [J].

GoubetBartholomeus, A ;

Dambrine, M ;

Richard, JP .

SYSTEMS & CONTROL LETTERS, 1997, 31 (03) :155-163

[8] An improved stability criterion for systems with distributed delays [J].

Gu, KQ .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2003, 13 (09) :819-831

[9] Discretized Lyapunov functional for systems with distributed delay and piecewise constant coefficients [J].

Gu, KQ ;

Han, QL ;

Luo, ACJ ;

Niculescus, SI .

INTERNATIONAL JOURNAL OF CONTROL, 2001, 74 (07) :737-744

[10]

Hale J.K., 1993, Introduction to Functional Differential Equations, DOI DOI 10.1007/978-1-4612-4342-7

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