Exponential stability and periodicity of cellular neural networks with time delay

被引：14
|
作者：
Zhong, Shouming
Liu, Xinzhi
机构：
[1] Univ Waterloo, Dept Appl Mech, Fac Math, Waterloo, ON N2L 3G1, Canada
[2] Univ Elect Sci & Technol China, Sch Appl Math, Chengdu 610054, Peoples R China
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2007年 / 45卷 / 9-10期
基金：
加拿大自然科学与工程研究理事会;
关键词：
delayed cellular neural networks; exponential stability; periodicity; partitioned matrices;
D O I：
10.1016/j.mcm.2006.10.004
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
This paper investigates the problem of exponential stability and periodicity for a class of delayed cellular neural networks (DCNN's). By dividing the network state variables into subgroups according to the characters of the neural networks, some sufficient conditions for exponential stability and periodicity are derived via constructing Lyapunov functional. Those conditions suitable are associated with some initial value and are represented by some blocks of the interconnection matrix. Two examples are discussed to illustrate the main results. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1231 / 1240
页数：10
相关论文
共 50 条
  • [1] Exponential stability and periodicity of impulsive cellular neural networks with time delays
    Yang, Fengjian
    Zhang, Chaolong
    Wu, Dongqing
    Chen, Xinming
    Yang, Jianfu
    APPLIED MATHEMATICS AND COMPUTATION, 2010, 217 (07) : 3417 - 3424
  • [2] Exponential stability for cellular neural networks with delay
    Yang, Jinxiang
    Zhong, Shouming
    Liu, Xingwen
    2006 13TH IEEE INTERNATIONAL CONFERENCE ON ELECTRONICS, CIRCUITS AND SYSTEMS, VOLS 1-3, 2006, : 930 - +
  • [3] Exponential stability of cellular neural networks with time-varying delay
    Wu, Xue-li
    Du, Wen-xia
    Wang, Yan-hong
    Zhou, Zhan-tong
    INTERNATIONAL JOURNAL OF MODELLING IDENTIFICATION AND CONTROL, 2009, 8 (02) : 130 - 138
  • [4] Exponential Stability of Cellular Neural Networks with Time-varying Delay
    Wu, Xueli
    Meng, Xiangting
    Lv, Xuan
    PROCEEDINGS OF THE 2009 WRI GLOBAL CONGRESS ON INTELLIGENT SYSTEMS, VOL IV, 2009, : 81 - 85
  • [5] Exponential Stability of Cellular Neural Networks with Time-varying Delay
    Meng Hua
    Wang Yanhong
    Lv Xuan
    Wu, Xue-Li
    CCDC 2009: 21ST CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6, PROCEEDINGS, 2009, : 5669 - 5674
  • [6] Exponential periodicity and stability of cellular neural networks with distributed delays
    Zhou, Li-Qun
    Hu, Guang-Da
    Xitong Fangzhen Xuebao / Journal of System Simulation, 2008, 20 (10): : 2511 - 2514
  • [7] Global exponential stability and periodicity of cellular neural networks with variable delays
    Zhao, HY
    PHYSICS LETTERS A, 2005, 336 (4-5) : 331 - 341
  • [8] Exponential stability of fuzzy cellular neural networks with distributed delay
    Huang, TW
    PHYSICS LETTERS A, 2006, 351 (1-2) : 48 - 52
  • [9] Exponential stability of fuzzy cellular neural networks with unbounded delay
    Huang, TW
    Zhang, LH
    ADVANCES IN NEURAL NETWORKS - ISNN 2005, PT 1, PROCEEDINGS, 2005, 3496 : 168 - 173
  • [10] Exponential stability of cellular neural networks with discrete and distributed delay
    Gao, Xiuzhi
    Zhong, Shouming
    Wang, Bingtao
    Liu, Xinzhi
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2007, 14 : 1779 - 1784
12345