Robust stability of uncertain delay-differential systems of neutral type

被引：255

作者：

Han, QL ^{[1
]}

机构：

[1] Univ Cent Queensland, Fac Informat & Commun, Rockhampton, Qld 4702, Australia

来源：

AUTOMATICA | 2002年 / 38卷 / 04期

关键词：

stability; time-delay; neutral-type; uncertainty; linear matrix inequality;

D O I：

10.1016/S0005-1098(01)00250-3

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 focuses on the stability problem for neutral delay-differential systems with norm-bounded, and possibly time-varying. uncertainty. The time-delay is assumed constant and known. A stability, criterion that is formulated in a linear matrix inequality (LMI) form is derived. Numerical examples show that the results obtained by this new criterion significantly improve the estimate of stability, limit over some existing results in the literature. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：719 / 723

页数：5

共 16 条

[1]

Boyd S., 1994, LINEAR MATRIX INEQUA, DOI https://doi.org/10.1109/jproc.1998.735454

[2] BIFURCATION OF PERIODIC SOLUTIONS IN A NONLINEAR DIFFERENCE-DIFFERENTIAL EQUATION OF NEUTRAL TYPE [J].

BRAYTON, RK .

QUARTERLY OF APPLIED MATHEMATICS, 1966, 24 (03) :215-&

[3] Delay-dependent robust H∞ control of uncertain linear state-delayed systems [J].

de Souza, CE ;

Li, X .

AUTOMATICA, 1999, 35 (07) :1313-1321

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

GoubetBartholomeus, A ;

Dambrine, M ;

Richard, JP .

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

[5]

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

[6]

HAN QL, 2001, IN PRESS INT J APPL

[7] Some simple criteria for stability of neutral delay-differential systems [J].

Hu, GD ;

Hu, GD .

APPLIED MATHEMATICS AND COMPUTATION, 1996, 80 (2-3) :257-271

[8]

KHUSAINOV DY, 1988, DIFF URAVN, V24, P613

[9]

Kolmanovskii V., 1992, APPL THEORY FUNCTION

[10]

Kuang Y., 1993, DELAY DIFFERENTIAL E

← 1 2 →