Stability criterion for a class of descriptor systems with discrete and distributed time delays

被引：13

作者：

Sun, Yeong-Jeu ^{[1
]}

机构：

[1] I Shou Univ, Dept Elect Engn, Kaohsiung 840, Taiwan

来源：

CHAOS SOLITONS & FRACTALS | 2007年 / 33卷 / 03期

关键词：

D O I：

10.1016/j.chaos.2006.01.067

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the global exponential stability for a class of descriptor systems with discrete and distributed time delays is considered. A distributed-delay-dependent criterion is proposed to guarantee the global exponential stability of the systems. An upper bound of arbitrary time delays without destroying stability is given such that global exponential stability is preserved. Finally, a numerical example is given to illustrate the main results. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：986 / 993

页数：8

共 28 条

[1] Estimation of amplitude of oscillations in sliding mode systems caused by time delay [J].

Acosta, P ;

Polyakov, A ;

Fridman, L ;

Strygin, V .

ASIAN JOURNAL OF CONTROL, 2004, 6 (04) :507-513

[2] Global robust stability analysis of neural networks with discrete time delays [J].

Arik, S .

CHAOS SOLITONS & FRACTALS, 2005, 26 (05) :1407-1414

[3]

BRONSON R, 1989, MATRIX OPERATIONS SC

[4]

CAO YY, 2001, ASIAN J CONTROL, V3, P272

[5]

Dai L., 1989, SINGULAR CONTROL SYS, DOI DOI 10.1007/BFB0002475

[6]

Duan GR, 2003, ASIAN J CONTROL, V5, P334, DOI 10.1111/j.1934-6093.2003.tb00125.x

[7] Experimental comparison of delayed resonator and PD controlled vibration absorbers using electromagnetic actuators [J].

Elmali, H ;

Renzulli, M ;

Olgac, N .

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2000, 122 (03) :514-520

[8]

Hale J. K., 1993, INTRO FUNCTIONAL DIF, DOI 10.1007/978-1-4612-4342-7

[9] Bifurcation on stability of singular systems with delay [J].

Li, YQ ;

Liu, YQ .

INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1999, 30 (06) :643-649

[10] Guaranteed cost observer-based controls for a class of uncertain neutral time-delay systems [J].

Lien, CH .

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2005, 126 (01) :137-156

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