The boundedness of high-order Hopfield neural networks with variable delays

被引：9
|
作者：
Hu, Hongxiao [1 ]
Jiang, Haijun [2 ]
Teng, Zhidong [2 ]
机构：
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
[2] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
来源：
NEUROCOMPUTING | 2010年 / 73卷 / 13-15期
关键词：
Neural networks; High-order; Uniformly ultimately boundedness; GLOBAL ASYMPTOTIC STABILITY; TIME-VARYING DELAYS; EXPONENTIAL STABILITY; PERIODIC-SOLUTIONS; COEFFICIENTS; DISSIPATIVITY;
D O I：
10.1016/j.neucom.2010.05.014
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, the uniformly boundedness and uniformly ultimately boundedness of high-order neural networks with time-varying delays are studied. Proper Lyapunov functionals and some analytic techniques are employed to derive the sufficient conditions under which the networks proposed are uniformly bounded and uniformly ultimately bounded. The results are shown to improve the results derived in [1] (Arik, 2004). Some examples are given to illustrate the correctness of our results. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：2589 / 2596
页数：8
相关论文
共 50 条
  • [31] Weighted pseudo-almost automorphic solutions of high-order Hopfield neural networks with neutral distributed delays
    Zhao, Lili
    Li, Yongkun
    Li, Bing
    [J]. NEURAL COMPUTING & APPLICATIONS, 2018, 29 (07): : 513 - 527
  • [32] Weighted pseudo-almost automorphic solutions of high-order Hopfield neural networks with neutral distributed delays
    Lili Zhao
    Yongkun Li
    Bing Li
    [J]. Neural Computing and Applications, 2018, 29 : 513 - 527
  • [33] Piecewise Pseudo Almost Periodic Solution for Impulsive Generalised High-Order Hopfield Neural Networks with Leakage Delays
    Aouiti, Chaouki
    M'hamdi, Mohammed Salah
    Cao, Jinde
    Alsaedi, Ahmed
    [J]. NEURAL PROCESSING LETTERS, 2017, 45 (02) : 615 - 648
  • [34] Stability analysis for a class of impulsive high-order Hopfield neural networks with leakage time-varying delays
    Chaouki Aouiti
    El Abed Assali
    [J]. Neural Computing and Applications, 2019, 31 : 7781 - 7803
  • [35] Stability analysis for a class of impulsive high-order Hopfield neural networks with leakage time-varying delays
    Aouiti, Chaouki
    Assali, El Abed
    [J]. NEURAL COMPUTING & APPLICATIONS, 2019, 31 (11): : 7781 - 7803
  • [36] EXISTENCE AND STABILITY OF PERIODIC SOLUTIONS OF BAM HIGH-ORDER HOPFIELD NEURAL NETWORKS WITH IMPULSES AND DELAYS ON TIME SCALES
    Yang, Wengui
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
  • [37] Periodic attractor for reaction-diffusion high-order Hopfield neural networks with time-varying delays
    Duan, Lian
    Huang, Lihong
    Guo, Zhenyuan
    Fang, Xianwen
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 73 (02) : 233 - 245
  • [38] Stability analysis of high-order Hopfield type neural networks with uncertainty
    Xu, Bingji
    Wang, Qun
    Liao, Xiaoxin
    [J]. NEUROCOMPUTING, 2008, 71 (4-6) : 508 - 512
  • [39] Asymptotic stability of impulsive high-order Hopfield type neural networks
    Xu, Bingji
    Liu, Xiang
    Teo, Kok Lay
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (11-12) : 1968 - 1977
  • [40] APPLICATION OF HIGH-ORDER HOPFIELD NEURAL NETWORKS TO THE SOLUTION OF DIOPHANTINE EQUATIONS
    JOYA, G
    ATENCIA, MA
    SANDOVAL, F
    [J]. LECTURE NOTES IN COMPUTER SCIENCE, 1991, 540 : 395 - 400
12345