Globally exponential stability conditions for cellular neural networks with time-varying delays

被引：119
|
作者：
Zhou, DM [1 ]
Cao, JD [1 ]
机构：
[1] Yunnan Univ, Information Coll, Kunming 650091, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2002年 / 131卷 / 2-3期
关键词：
cellular neural network; time-varying delay; Lyapunov function; global exponential stability;
D O I：
10.1016/S0096-3003(01)00162-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the problems of global exponential stability for cellular neural networks (CNN) with time-varying delays are studied. Several sufficient conditions guaranteeing the network's global exponential stability are established. These results can easily be used to design and verify globally stable networks. Furthermore, the results presented here are independent of the form of specific delays and have important significance in both theory and applications. (C) 2002 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：487 / 496
页数：10
相关论文
共 50 条
  • [1] Globally exponential stability for neural networks with time-varying delays
    Shi, Lin
    Zhu, Hong
    Zhong, Shouming
    Hou, Liyuan
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (21) : 10487 - 10498
  • [2] Globally exponential stability condition of a class of neural networks with time-varying delays
    Liao, TL
    Yan, JJ
    Cheng, CJ
    Hwang, CC
    PHYSICS LETTERS A, 2005, 339 (3-5) : 333 - 342
  • [3] Global exponential stability of cellular neural networks with time-varying delays
    Zhang, Q
    Zhou, DS
    Wang, HJ
    Wei, XP
    ADVANCES IN NATURAL COMPUTATION, PT 1, PROCEEDINGS, 2005, 3610 : 405 - 410
  • [4] Global exponential stability of cellular neural networks with time-varying delays
    Luo, YP
    Deng, FQ
    Yao, HZ
    2004 IEEE CONFERENCE ON CYBERNETICS AND INTELLIGENT SYSTEMS, VOLS 1 AND 2, 2004, : 638 - 642
  • [5] LMI conditions for exponential stability of neural networks with time-varying delays
    Yang, HF
    Chu, TG
    Zhang, CS
    2005 International Conference on Control and Automation (ICCA), Vols 1 and 2, 2005, : 576 - 580
  • [6] Globally exponential stability and dissipativity for nonautonomous neural networks with mixed time-varying delays
    Jiang, Minghui
    Mu, Juan
    Huang, Dasong
    NEUROCOMPUTING, 2016, 205 : 421 - 429
  • [7] Globally Exponential Stability of Memristive Neural Networks With Time-varying Delays and Synchronous Switching
    Jiang Y.
    Li C.
    Li, Chuandong (licd@cqu.edu.cn), 1600, Science Press (43): : 1465 - 1469
  • [8] Globally Exponential Stability of Periodic Solutions to Impulsive Neural Networks with Time-Varying Delays
    Shao, Yuanfu
    Xu, Changjin
    Zhang, Qianhong
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [9] Global exponential stability of cellular neural networks with time-varying delays and impulses
    Fu, Chaojin
    Chen, Boshan
    ADVANCES IN NEURAL NETWORKS - ISNN 2006, PT 1, 2006, 3971 : 230 - 235
  • [10] Exponential stability of fuzzy cellular neural networks with constant and time-varying delays
    Liu, YQ
    Tang, WS
    PHYSICS LETTERS A, 2004, 323 (3-4) : 224 - 233
12345