Global stability analysis of neural networks with multiple time varying delays

被引：69

作者：

Ensari, T ^{[1
]}

Arik, S ^{[1
]}

机构：

[1] Istanbul Univ, Dept Comp Engn, TR-34320 Istanbul, Turkey

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2005年 / 50卷 / 11期

关键词：

delayed neural networks; equilibrium and stability analysis; Lyapunov functionals;

D O I：

10.1109/TAC.2005.858634

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this note, we study the equilibrium and stability properties of neural networks with time varying delays. Our main results give sufficient conditions for the existence, uniqueness and global asymptotic stability of the equilibrium point. The proposed conditions establish the relationships between network parameters of the neural systems and the delay parameters. The obtained results are applicable to all continuous nonmonotonic neuron activation functions and do not require the interconnection matrices to be symmetric. Some examples are also presented to compare our results with the previous results derived in the literature.

引用

页码：1781 / 1785

页数：5

共 19 条

[1] 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

[2] Global asymptotic stability of a class of dynamical neural networks [J].

Arik, S .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (04) :568-571

[3] Equilibrium analysis of delayed CNN's [J].

Arik, S ;

Tavsanoglu, V .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1998, 45 (02) :168-171

[4] 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

[5] Exponential stability and periodic oscillatory solution in BAM networks with delays [J].

Cao, JD ;

Wang, L .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2002, 13 (02) :457-463

[6] Global exponential stability of delayed Hopfield neural networks [J].

Chen, TP .

NEURAL NETWORKS, 2001, 14 (08) :977-980

[7] Global convergence of delayed dynamical systems [J].

Chen, TP .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2001, 12 (06) :1532-1536

[8] On the stability analysis of delayed neural networks systems [J].

Feng, CH ;

Plamondon, R .

NEURAL NETWORKS, 2001, 14 (09) :1181-1188

[9] NEW CONDITIONS FOR GLOBAL STABILITY OF NEURAL NETWORKS WITH APPLICATION TO LINEAR AND QUADRATIC-PROGRAMMING PROBLEMS [J].

FORTI, M ;

TESI, A .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1995, 42 (07) :354-366

[10]

Horn RA., 2013, Topics in Matrix Analysis, V2nd ed, DOI DOI 10.1017/CBO9780511840371

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