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
  • [11] On stability of disturbed Hopfield neural networks with time delays
    Liu, YG
    You, ZS
    Cao, LP
    NEUROCOMPUTING, 2006, 69 (7-9) : 941 - 948
  • [12] Stability preservation in discrete-time delayed Hopfield neural networks with large impulses
    Deng, Shaojiang
    Tang, Jiqiang
    Li, Chuandong
    JOURNAL OF VIBRATION AND CONTROL, 2013, 19 (04) : 538 - 546
  • [13] A New Approach to Stability Analysis for Stochastic Hopfield Neural Networks With Time Delays
    Lv, Xiang
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (10) : 5278 - 5288
  • [14] Stationary oscillation for high-order Hopfield neural networks with time delays and impulses
    Zhang, Yinping
    Wang, Qing-Guo
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 231 (01) : 473 - 477
  • [15] On global exponential stability of discrete-time Hopfield neural networks with variable delays
    Zhang, Qiang
    Wei, Xiaopeng
    Xu, Jin
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2007, 2007
  • [16] Stability analysis of uncertain fuzzy Hopfield neural networks with time delays
    Ali, M. Syed
    Balasubramaniam, P.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2009, 14 (06) : 2776 - 2783
  • [17] Comparison principle for difference equations with variable-time impulses
    Li, Hongfei
    Li, Chuandong
    Huang, Tingwen
    MODERN PHYSICS LETTERS B, 2018, 32 (02):
  • [18] Stability of nonlinear variable-time impulsive differential systems with delayed impulses
    He, Zhilong
    Li, Chuandong
    Cao, Zhengran
    Li, Hongfei
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2021, 39
  • [19] Existence and Stability of Periodic Solution for Impulsive Hopfield Cellular Neural Networks with Time Delays
    Zhang, Linli
    Liu, Anping
    Xiao, Li
    ADVANCES IN COMPUTER SCIENCE, ENVIRONMENT, ECOINFORMATICS, AND EDUCATION, PT III, 2011, 216 : 315 - +
  • [20] Robust stability for stochastic Hopfield neural networks with time delays
    Wang, Zidong
    Shu, Huisheng
    Fang, Jian'an
    Liu, Xiaohui
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2006, 7 (05) : 1119 - 1128