New results on stability analysis of neural networks with time-varying delays

被引：162

作者：

Hua, CC ^{[1
]}

Long, CN ^{[1
]}

Guan, XP ^{[1
]}

机构：

[1] Yanshan Univ, Inst Elect Engn, Qinhuangdao 066004, Peoples R China

来源：

PHYSICS LETTERS A | 2006年 / 352卷 / 4-5期

基金：

中国国家自然科学基金;

关键词：

time delay neural networks; stability analysis; Lyapunov Krasovskii functional;

D O I：

10.1016/j.physleta.2005.12.005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this Letter the time delay dependent stability problem is investigated for a class of time delay neural networks. By constructing novel Lyapunov Krasovskii functional, we propose the new stability results for time delay neural network. The sufficient conditions obtained in this Letter are looser than those in the former literature. Specially, our results include the time delay independent results obtained in some existing literature. The stability conditions are all in the form of linear matrix inequalities (LMIs), which can be computed and optimized easily. Finally, numerical examples are given to show the superiority of the main results. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：335 / 340

页数：6

共 15 条

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

Arik, S .

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

[2] 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

[3] Robust global exponential stability of Cohen-Grossberg neural networks with time delays [J].

Chen, TP ;

Rong, LB .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2004, 15 (01) :203-206

[4] Global exponential stability and existence of periodic solutions of CNNs with delays [J].

Dong, MF .

PHYSICS LETTERS A, 2002, 300 (01) :49-57

[5]

Gu K., 2003, CONTROL ENGN SER BIR, DOI 10.1007/978-1-4612-0039-0

[6] CONVERGENT ACTIVATION DYNAMICS IN CONTINUOUS-TIME NETWORKS [J].

HIRSCH, MW .

NEURAL NETWORKS, 1989, 2 (05) :331-349

[7] Global asymptotic stability and global exponential stability of continuous-time recurrent neural networks [J].

Hu, SQ ;

Wang, J .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (05) :802-807

[8] Global exponential stability and periodic solutions of recurrent neural networks with delays [J].

Huang, H ;

Cao, JD ;

Wang, J .

PHYSICS LETTERS A, 2002, 298 (5-6) :393-404

[9] STABILITY IN CONTRACTIVE NONLINEAR NEURAL NETWORKS [J].

KELLY, DG .

IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 1990, 37 (03) :231-242

[10] Global exponential stability of a class of neural circuits [J].

Liang, XB ;

Wu, LD .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (06) :748-751

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