Global exponential stability of discrete-time Cohen-Grossberg neural networks

被引：100
|
作者：
Xiong, WJ [1 ]
Cao, JD [1 ]
机构：
[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China
来源：
NEUROCOMPUTING | 2005年 / 64卷
基金：
中国国家自然科学基金;
关键词：
discrete-time; Lyapunov functions; global exponential stability; Cohen-Grossberg neural networks;
D O I：
10.1016/j.neucom.2004.08.004
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Discrete-time versions of the continuous-time Cohen-Grossberg neural networks (CGNNs) are formulated and studied in this paper. Several sufficient conditions are obtained to ensure the global exponential stability of the discrete-time systems of CGNNs with and without delays based on Lyapunov methods. The obtained results have not assume the symmetry of the connection matrix, and monotonicity and the differentiability of the activation functions. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：433 / 446
页数：14
相关论文
共 50 条
  • [41] On Global Asymptotic Stability of Cohen-Grossberg Neural Networks With Variable Delays
    Chen, Wu-Hua
    Zheng, Wei Xing
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2008, 55 (10) : 3145 - 3159
  • [42] Global exponential stability of periodic solution of delayed discontinuous Cohen-Grossberg neural networks and its applications
    Chai, Yiyuan
    Feng, Jiqiang
    Qin, Sitian
    Pan, Xinyu
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2023, 24 (01) : 245 - 264
  • [43] Global attraction and stability for Cohen-Grossberg neural networks with delays
    Lu, Kening
    Xu, Daoyi
    Yang, Zhichun
    NEURAL NETWORKS, 2006, 19 (10) : 1538 - 1549
  • [44] Globally exponential stability of generalized Cohen-Grossberg neural networks with delays
    Hwang, CC
    Cheng, CJ
    Liao, TL
    PHYSICS LETTERS A, 2003, 319 (1-2) : 157 - 166
  • [45] Exponential stability of fuzzy Cohen-Grossberg neural networks with time delays and impulsive effects
    Li, Changzhao
    Li, Yongkun
    Ye, Yuan
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (11) : 3599 - 3606
  • [46] Global exponential stability analysis of Cohen-Grossberg neural network with delays
    Zhao, Weirui
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (05) : 847 - 856
  • [47] An Analysis of Global Stability of Cohen-Grossberg Neural Networks with Multiple Time Delays
    Orman, Zeynep
    Arik, Sabri
    PROCEEDINGS OF WORLD ACADEMY OF SCIENCE, ENGINEERING AND TECHNOLOGY, VOL 29, 2008, 29 : 256 - 260
  • [48] Periodicity and global exponential stability of generalized Cohen-Grossberg neural networks with discontinuous activations and mixed delays
    Wang, Dongshu
    Huang, Lihong
    NEURAL NETWORKS, 2014, 51 : 80 - 95
  • [49] Exponential p -stability of Cohen-Grossberg Neural Networks with Time-delays and Impulses
    Qin Fajin
    Yao Xiaojie
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 2716 - 2720
  • [50] Dynamic analysis of periodic solution for high-order discrete-time Cohen-Grossberg neural networks with time delays
    Sun, Kaiyun
    Zhang, Ancai
    Qiu, Jianlong
    Chen, Xiangyong
    Yang, Chengdong
    Chen, Xiao
    NEURAL NETWORKS, 2015, 61 : 68 - 74
12345