General decay synchronization stability for a class of delayed chaotic neural networks with discontinuous activations

被引:39
作者
Wang, Leimin [1 ,2 ]
Shen, Yi [1 ,2 ]
Zhang, Guodong [3 ]
机构
[1] Huazhong Univ Sci & Technol, Sch Automat, Wuhan 430074, Peoples R China
[2] Minist China, Key Lab Image Proc & Intelligent Control Educ, Wuhan 430074, Peoples R China
[3] South Cent Univ Nationalities, Coll Math & Stat, Wuhan 430074, Peoples R China
基金
中国国家自然科学基金; 美国国家科学基金会;
关键词
Delayed neural networks; Discontinuous activations; General decay synchronization; Decay function; TIME-VARYING DELAYS; ROBUST SYNCHRONIZATION; IMPULSIVE SYNCHRONIZATION; GLOBAL CONVERGENCE; FINITE-TIME; SYSTEMS;
D O I
10.1016/j.neucom.2015.11.077
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper is concerned with the synchronization problem for a class of delayed chaotic neural networks with discontinuous activations. First a lemma which concerns stability in general decay rate is constructed. Based on this lemma, the general decay synchronization stability criteria of discontinuous neural networks are derived via a designed controller. The general decay synchronization is obtained by introducing a decay function and it contains exponential synchronization and polynomial synchronization as its two special cases. Finally, two examples are given to verify the effectiveness of the obtained results. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:169 / 175
页数:7
相关论文
共 50 条
  • [41] Exponential synchronization for delayed chaotic neural networks with nonlinear hybrid coupling
    Zhang, Guobao
    Wang, Ting
    Li, Tao
    Fei, Shumin
    NEUROCOMPUTING, 2012, 85 : 53 - 61
  • [42] Dynamical behaviors of a class of recurrent neural networks with discontinuous neuron activations
    Li, Liping
    Huang, Lihong
    APPLIED MATHEMATICAL MODELLING, 2009, 33 (12) : 4326 - 4336
  • [43] Dissipativity and quasi-synchronization for neural networks with discontinuous activations and parameter mismatches
    Liu, Xiaoyang
    Chen, Tianping
    Cao, Jinde
    Lu, Wenlian
    NEURAL NETWORKS, 2011, 24 (10) : 1013 - 1021
  • [44] Local synchronization of one-to-one coupled neural networks with discontinuous activations
    Xiaoyang Liu
    Jinde Cao
    Cognitive Neurodynamics, 2011, 5 : 13 - 20
  • [45] Robust Fixed-Time Synchronization for Coupled Delayed Neural Networks with Discontinuous Activations Subject to a Quadratic Polynomial Growth
    Yu, Lina
    Ma, Yunfei
    Yang, Yuntong
    Zhang, Jingchao
    Wang, Chunwei
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
  • [46] Global asymptotic stability of neural networks with discontinuous activations
    Wang, Jiafu
    Huang, Lihong
    Guo, Zhenyuan
    NEURAL NETWORKS, 2009, 22 (07) : 931 - 937
  • [47] Finite/Fixed-Time Synchronization of Delayed Inertial Memristive Neural Networks with Discontinuous Activations and Disturbances
    He, Haibin
    Liu, Xiaoyang
    Cao, Jinde
    Jiang, Nan
    NEURAL PROCESSING LETTERS, 2021, 53 (05) : 3525 - 3544
  • [48] General decay synchronization of delayed BAM neural networks via nonlinear feedback control
    Sader, Malika
    Abdurahman, Abdujelil
    Jiang, Haijun
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 337 : 302 - 314
  • [49] Finite/Fixed-Time Synchronization of Delayed Inertial Memristive Neural Networks with Discontinuous Activations and Disturbances
    Haibin He
    Xiaoyang Liu
    Jinde Cao
    Nan Jiang
    Neural Processing Letters, 2021, 53 : 3525 - 3544
  • [50] Sampled-data state estimation for delayed neural networks with discontinuous activations
    Wang, Haitao
    Wang, Qian
    INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2016, 7 (05) : 805 - 817