Stationary oscillation for cellular neural networks with time delays and impulses

被引:8
|
作者
Zhang, Yinping [1 ]
机构
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
关键词
Recurrent cellular neural networks; Periodic solution; Global stability; Delay; Impulse; EXPONENTIAL STABILITY; PERIODIC-SOLUTION; EXISTENCE;
D O I
10.1016/j.matcom.2009.03.009
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper studies stationary oscillation for it time-varying recurrent cellular neural network with time delays and impulses. In a recent paper, the authors claim that they obtain a criterion of existence, uniqueness, and global exponential stability of periodic solution (i.e. stationary oscillation) for a recurrent cellular neural network with time delays and impulses. We point out that the main result of their paper is incorrect, and present a sufficient condition of stationary oscillation fora time-varying recurrent cellular neural networks with time delays and impulses. An numerical example is given to illustrate the effectiveness of the obtained result. (C) 2009 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:3174 / 3178
页数:5
相关论文
共 50 条
  • [11] Variable-time impulses in BAM neural networks with delays
    Liu, Chao
    Li, Chuandong
    Liao, Xiaofeng
    [J]. NEUROCOMPUTING, 2011, 74 (17) : 3286 - 3295
  • [12] (ω,c)-Asymptotically periodic oscillation of cellular neural networks on time scales with leakage delays and mixed time-varying delays
    Bharti, Puja
    Dhama, Soniya
    [J]. Neural Networks, 2025, 185
  • [13] Globally Exponential Stability of Cellular Neural Networks with Distributed Delays and Large Impulses
    Yang, Jianfu
    Yang, Fengjian
    Tao, Jicheng
    Li, Wei
    Wu, Dongqing
    [J]. 2009 IEEE INTERNATIONAL CONFERENCE ON AUTOMATION AND LOGISTICS ( ICAL 2009), VOLS 1-3, 2009, : 1426 - +
  • [14] Existence and exponential stability of periodic solutions of cellular neural networks with impulses and delays
    Wang, Hui
    Li, Chuandong
    [J]. 2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23, 2008, : 6305 - +
  • [15] Stability of Hopfield neural networks with time delays and variable-time impulses
    Chao Liu
    Chuandong Li
    Tingwen Huang
    Chaojie Li
    [J]. Neural Computing and Applications, 2013, 22 : 195 - 202
  • [16] Global exponential stability of cellular neural networks with continuously distributed delays and impulses
    Wang, YX
    Xiong, WM
    Zhou, QY
    Xiao, B
    Yu, YH
    [J]. PHYSICS LETTERS A, 2006, 350 (1-2) : 89 - 95
  • [17] Stability of Hopfield neural networks with time delays and variable-time impulses
    Liu, Chao
    Li, Chuandong
    Huang, Tingwen
    Li, Chaojie
    [J]. NEURAL COMPUTING & APPLICATIONS, 2013, 22 (01): : 195 - 202
  • [18] Exponential Stability of Neural Networks with Time-Varying Delays and Impulses
    Akca, Haydax
    Covachev, Valery
    Altmayer, Kumud Singh
    [J]. SIXTH INTERNATIONAL SYMPOSIUM ON NEURAL NETWORKS (ISNN 2009), 2009, 56 : 153 - +
  • [19] Global Exponential Stability of Periodic Solution for Fuzzy Cellular Neural Networks with Impulses and Time-Varying Delays
    Yao, Xiaojie
    Qin, Fajin
    [J]. PROCEEDINGS OF THE SECOND INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION (ICMS2009), VOL 7, 2009, : 111 - 117
  • [20] Exponential Stability of BAM Fuzzy Cellular Neural Networks with Time-Varying Delays in Leakage Terms and Impulses
    Li, Yongkun
    Li, Youqin
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,