Stability of Hopfield neural networks with time delays and variable-time impulses

被引:11
|
作者
Liu, Chao [1 ]
Li, Chuandong [1 ]
Huang, Tingwen [2 ]
Li, Chaojie [1 ]
机构
[1] Chongqing Univ, Coll Comp, Chongqing 400044, Peoples R China
[2] Texas A&M Univ Qatar, Doha, Qatar
来源
NEURAL COMPUTING & APPLICATIONS | 2013年 / 22卷 / 01期
基金
中国国家自然科学基金;
关键词
Hopfield neural network (HNN); Time delays; Variable-time impulse; Stability; EXPONENTIAL STABILITY; DIFFERENTIAL-EQUATIONS; COMPARISON PRINCIPLE; GRADED RESPONSE; VARYING DELAYS; EXISTENCE; NEURONS;
D O I
10.1007/s00521-011-0695-2
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The stability of Hopfield neural networks with fixed-time impulses has been intensively investigated in recent years. However, few existing publications addressed the stability of delayed neural networks with variable-time impulses. In this paper, we consider the case of variable-time impulses and attempt to establish the general stability criteria. It shows that the proposed results can also be applied to the case of fixed-time impulses, which provide a new stability condition for the case of fixed-time impulses. To illustrate the effectiveness of our theoretical results, numerical examples and simulations are also presented.
引用
收藏
页码:195 / 202
页数:8
相关论文
共 50 条
  • [41] Stability analysis of nonlinear fractional-order systems with variable-time impulses
    Song, Qiankun
    Yang, Xujun
    Li, Chuandong
    Huang, Tingwen
    Chen, Xiaofeng
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (07): : 2959 - 2978
  • [42] Comparison principle for difference equations with variable-time impulses
    Li, Hongfei
    Li, Chuandong
    Huang, Tingwen
    [J]. MODERN PHYSICS LETTERS B, 2018, 32 (02):
  • [43] Globally Exponential Stability of a Class of Neural Networks with Impulses and Variable Delays
    Yang, Jianfu
    Sun, Hongying
    Yang, Fengjian
    Li, Wei
    Wu, Dongqing
    [J]. ADVANCES IN NEURAL NETWORKS - ISNN 2010, PT 1, PROCEEDINGS, 2010, 6063 : 711 - 718
  • [44] Stability for Hopfield neural networks with time delay
    Wang, LS
    Xu, DY
    [J]. JOURNAL OF VIBRATION AND CONTROL, 2002, 8 (01) : 13 - 18
  • [45] Exponential Stability of Discrete-Time Delayed Hopfield Neural Networks with Stochastic Perturbations and Impulses
    Shukai Duan
    Wenfeng Hu
    Chuandong Li
    Sichao Wu
    [J]. Results in Mathematics, 2012, 62 : 73 - 87
  • [46] Exponential Stability of Discrete-Time Delayed Hopfield Neural Networks with Stochastic Perturbations and Impulses
    Duan, Shukai
    Hu, Wenfeng
    Li, Chuandong
    Wu, Sichao
    [J]. RESULTS IN MATHEMATICS, 2012, 62 (1-2) : 73 - 87
  • [47] GLOBAL EXPONENTIAL STABILITY IN HOPFIELD AND BIDIRECTIONAL ASSOCIATIVE MEMORY NEURAL NETWORKS WITH TIME DELAYS
    RONG LIBIN LU WENLIAN CHEN TIANPING Laboratory of Nonlinear Science
    [J]. Chinese Annals of Mathematics, 2004, (02) : 255 - 262
  • [48] Asymptotical stability for fractional-order Hopfield neural networks with multiple time delays
    Yao, Zichen
    Yang, Zhanwen
    Fu, Yongqiang
    Li, Jiachen
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (16) : 10052 - 10069
  • [49] Exponential stability of stochastic interval Hopfield neural networks with time-varying delays
    Li, Xiaolin
    Cao, Jinde
    [J]. NEURAL NETWORK WORLD, 2007, 17 (01) : 31 - 40
  • [50] Global exponential stability and global attractivity of impulsive Hopfield neural networks with time delays
    Fu, Xilin
    Li, Xiaodi
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 231 (01) : 187 - 199