Global robust stability for delayed neural networks with polytopic type uncertainties

被引：80

作者：

He, Y

Wang, QG

Zheng, WX

机构：

[1] Natl Univ Singapore, Dept Elect & Comp Engn, Singapore 119260, Singapore

[2] Univ Western Sydney, Sch QMMS, Penrith, NSW 1797, Australia

来源：

CHAOS SOLITONS & FRACTALS | 2005年 / 26卷 / 05期

关键词：

D O I：

10.1016/j.chaos.2005.04.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, global robust stability for delayed neural networks is studied. First the free-weighting matrices are employed to express the relationship between the terms in the system equation, and a stability condition for delayed neural networks is derived by using the S-procedure. Then this result is extended to establish a global robust stability criterion for delayed neural networks with polytopic type uncertainties. A numerical example given in [IEEE Trans Circuits Syst II 52 (2005) 33-36] for interval delayed neural networks is investigated. The effectiveness of the presented global robust stability criterion and its improvement over the existing results are demonstrated. (c) 2005 Published by Elsevier Ltd.

引用

页码：1349 / 1354

页数：6

共 33 条

[1] An analysis of exponential stability of delayed neural networks with time varying delays [J].

Arik, S .

NEURAL NETWORKS, 2004, 17 (07) :1027-1031

[2] Global robust stability of delayed neural networks [J].

Arik, S .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (01) :156-160

[3] An improved global stability result for delayed cellular neural networks [J].

Arik, S .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2002, 49 (08) :1211-1214

[4] Global asymptotic stability of a larger class of neural networks with constant time delay [J].

Arik, S .

PHYSICS LETTERS A, 2003, 311 (06) :504-511

[5] On the global asymptotic stability of delayed cellular neural networks [J].

Arik, S ;

Tavsanoglu, V .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (04) :571-574

[6] An analysis of global asymptotic stability of delayed cellular neural networks [J].

Arik, S .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (05) :1239-1242

[7]

BOYD S, 1994, LINEAR MATRIX INTQUA

[8] A set of stability criteria for delayed cellular neural networks [J].

Cao, J .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (04) :494-498

[9] Global asymptotic stability of a general class of recurrent neural networks with time-varying delays [J].

Cao, J ;

Wang, J .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (01) :34-44

[10] Global stability conditions for delayed CNNs [J].

Cao, J. .

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 2001, 48 (11) :1330-1333

← 1 2 3 4 →