Absolute stability analysis in cellular neural networks with variable delays and unbounded delay

被引：0
|
作者：
Zhang, JY [1 ]
机构：
[1] SW Jiaotong Univ, Natl Tract Power Lab, Chengdu 610031, Peoples R China
[2] Univ Tokyo, Suda Lab, Ctr Collaborat Res, Meguro Ku, Tokyo 1538505, Japan
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2004年 / 47卷 / 2-3期
关键词：
cellular neural networks; absolute stability; globally asymptotical stability; globally Lipschitz; unbounded delay; variable delay;
D O I：
10.1016/S0898-1221(04)90015-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the existence and uniqueness of the equilibrium point and absolute stability of a class of cellular neural networks with globally Lipschitz continue activation functions are investigated. The neural networks contain both variable and unbounded delays. The necessary and sufficient condition for the existence and uniqueness of the equilibrium point of the neural networks is obtained. By constructing proper vector Liapunov functions, nonlinear integrodifferential inequalities involving both variable delays and unbounded delay, which are corresponding to the neural networks, are established. By using M-matrix theory and qualitative property of the integrodifferential inequalities, the sufficient conditions for absolute stability (global asymptotic stability) are obtained. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：183 / 194
页数：12
相关论文
共 50 条
  • [31] Global Exponential Stability of Fuzzy Cellular Neural Networks with Variable Delays and Distributed Delays
    Wu, Yandong
    Zhang, Qianhong
    PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 695 - 699
  • [32] Absolute exponential stability of a class of recurrent neural networks with multiple and variable delays
    Lu, HT
    Shen, RM
    Chung, FL
    THEORETICAL COMPUTER SCIENCE, 2005, 344 (2-3) : 103 - 119
  • [33] Almost sure exponential stability of stochastic cellular neural networks with unbounded distributed delays
    Huang, Chuangxia
    Cao, Jinde
    NEUROCOMPUTING, 2009, 72 (13-15) : 3352 - 3356
  • [34] Stability of shunting inhibitory cellular neural networks with unbounded time-varying delays
    Liu, Bingwen
    APPLIED MATHEMATICS LETTERS, 2009, 22 (01) : 1 - 5
  • [35] Global asymptotic stability of BAM fuzzy cellular neural networks with time delay in the leakage term, discrete and unbounded distributed delays
    Balasubramaniam, P.
    Kalpana, M.
    Rakkiyappan, R.
    MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (5-6) : 839 - 853
  • [36] Stability analysis of reaction-diffusion recurrent cellular neural networks with variable time delays
    Zheng, Weifan
    Zhang, Jiye
    Zhang, Weihua
    ADVANCES IN NEURAL NETWORKS - ISNN 2006, PT 1, 2006, 3971 : 217 - 223
  • [37] Global dissipativity of neural networks with both variable and unbounded delays
    Song, QK
    Zhao, ZJ
    CHAOS SOLITONS & FRACTALS, 2005, 25 (02) : 393 - 401
  • [38] Stability Analysis for Neural Networks with Time-variable Delays
    Wu, Haixia
    Feng, Wei
    Zhang, Wei
    ICNC 2008: FOURTH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, VOL 2, PROCEEDINGS, 2008, : 547 - +
  • [39] An analysis on the global asymptotic stability for neural networks with variable delays
    Zhang, Q
    Wei, XP
    Xu, J
    PHYSICS LETTERS A, 2004, 328 (2-3) : 163 - 169
  • [40] Delay-dependent and delay-independent stability criteria for cellular neural networks with delays
    Li, Chuandong
    Liao, Xiaofeng
    Wong, Kwok-Wo
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (11): : 3323 - 3340
12345