Anti-periodic solutions for BAM neural networks with time delays

被引：29
|
作者：
Wei, Xuerui [1 ,2 ]
Qiu, Zhipeng [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China
[2] Shaoxing Univ, Dept Math, Hangzhou 312000, Zhejiang, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 221卷
关键词：
Anti-periodic solution; BAM neural networks; Fundamental solution matrix; Exponential stability; Time delay; EXPONENTIAL STABILITY; EXISTENCE;
D O I：
10.1016/j.amc.2013.06.063
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper, bidirectional associative memory neural networks with time delays are studied. By using the fundamental solution matrix of coefficients and Lyapunow function, sufficient conditions are obtained for the existence and global exponential stability of the anti-periodic solution of the model. An example and numerical simulations are also given to illustrate the theoretical results. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：221 / 229
页数：9
相关论文
共 50 条
  • [1] ON ANTI-PERIODIC SOLUTIONS FOR FUZZY BAM NEURAL NETWORKS WITH CONSTANT DELAYS ON TIME SCALES
    Bao, Hongmei
    DYNAMIC SYSTEMS AND APPLICATIONS, 2018, 27 (03): : 545 - 563
  • [2] Anti-periodic Solutions of Inertial Neural Networks with Time Delays
    Ke, Yunquan
    Miao, Chunfang
    NEURAL PROCESSING LETTERS, 2017, 45 (02) : 523 - 538
  • [3] Anti-periodic Solutions of Inertial Neural Networks with Time Delays
    Yunquan Ke
    Chunfang Miao
    Neural Processing Letters, 2017, 45 : 523 - 538
  • [4] Anti-periodic solutions for BAM-type Cohen-Grossberg neural networks with time delays
    Cui, Ping
    Li, Zheng-Biao
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (04): : 2171 - 2180
  • [5] The stability of anti-periodic solutions for fractional-order inertial BAM neural networks with time-delays
    Zhang, Yuehong
    Li, Zhiying
    Jiang, Wangdong
    Liu, Wei
    AIMS MATHEMATICS, 2023, 8 (03): : 6176 - 6190
  • [6] Anti-periodic solution for impulsive BAM neural networks with time-varying leakage delays on time scales
    Li, Yongkun
    Yang, Li
    Wu, Wanqin
    NEUROCOMPUTING, 2015, 149 : 536 - 545
  • [7] Existence and exponentially stability of anti-periodic solutions for neutral BAM neural networks with time-varying delays in the leakage terms
    Xu, Changjin
    Li, Peiluan
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (03): : 1285 - 1305
  • [8] Anti-periodic oscillations of bidirectional associative memory (BAM) neural networks with leakage delays
    Changjin Xu
    Lilin Chen
    Ting Guo
    Journal of Inequalities and Applications, 2018
  • [9] Anti-periodic oscillations of bidirectional associative memory (BAM) neural networks with leakage delays
    Xu, Changjin
    Chen, Lilin
    Guo, Ting
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
  • [10] Anti-periodic Solutions for High-Order Neural Networks with Mixed Time Delays
    Chen, Xiaofeng
    Song, Qiankun
    ADVANCES IN NEURAL NETWORKS - ISNN 2011, PT I, 2011, 6675 : 260 - 269
12345