Adaptive exponential synchronization of delayed Cohen-Grossberg neural networks with discontinuous activations

被引：18
|
作者：
Wu, Huaiqin [1 ]
Zhang, Xiaowei [1 ]
Li, Ruoxia [1 ]
Yao, Rong [1 ]
机构：
[1] Yanshan Univ, Dept Appl Math, Qinhuangdao 066001, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS | 2015年 / 6卷 / 02期
关键词：
Neural networks; Exponential synchronization; Discontinuous neuron activations; Adaptive controller; Lyapunov stability theory; ALMOST-PERIODIC SOLUTION; TIME-VARYING DELAYS; GLOBAL CONVERGENCE; STABILITY; SYSTEMS;
D O I：
10.1007/s13042-014-0258-9
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 treats of the exponential synchronization issue of delayed Cohen-Grossberg neural networks with discontinuous activations. By utilizing Lyapunov stability theory, an adaptive controller is designed such that the response system can be exponentially synchronized with a drive system. Our synchronization criteria are easily verified and the obtained results are also applicable to neural networks with continuous activations since they are a special case of neural networks with discontinuous activations. Results of this paper improve a few previous known results. Finally, numerical simulations are given to verify the effectiveness of the theoretical results.
引用
收藏
页码：253 / 263
页数：11
相关论文
共 50 条
  • [41] Global exponential synchronization of delayed fuzzy cellular neural networks with discontinuous activations
    Duan, Lian
    Fang, Xianwen
    Fu, Yujie
    INTERNATIONAL JOURNAL OF MACHINE LEARNING AND CYBERNETICS, 2019, 10 (03) : 579 - 589
  • [42] Robust adaptive control of Cohen-Grossberg neural networks with discontinuous activation functions
    Wu, Xiru
    Wang, Yaonan
    Cao, Wenming
    Huang, Lihong
    2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2010, : 4430 - 4435
  • [43] Practical exponential stability with respect to h-manifolds of discontinuous delayed Cohen-Grossberg neural networks with variable impulsive perturbations
    Stamov, Gani
    Gospodinova, Ekaterina
    Stamova, Ivanka
    MATHEMATICAL MODELLING AND CONTROL, 2021, 1 (01): : 26 - 34
  • [44] Global exponential stability and lag synchronization for delayed memristive fuzzy Cohen-Grossberg BAM neural networks with impulses
    Yang, Wengui
    Yu, Wenwu
    Cao, Jinde
    Alsaadi, Fuad E.
    Hayat, Tasawar
    NEURAL NETWORKS, 2018, 98 : 122 - 153
  • [45] Exponential stability of Cohen-Grossberg neural networks with delays
    Liao, Xiaofeng
    Yang, Jiyun
    Guo, Songtao
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2008, 13 (09) : 1767 - 1775
  • [46] Synchronization control for arrays of coupled discrete-time delayed Cohen-Grossberg neural networks
    Li, Tao
    Song, Aiguo
    Fei, Shumin
    NEUROCOMPUTING, 2010, 74 (1-3) : 197 - 204
  • [47] New exponential synchronization criteria for time-varying delayed neural networks with discontinuous activations
    Cai, Zuowei
    Huang, Lihong
    Zhang, Lingling
    NEURAL NETWORKS, 2015, 65 : 105 - 114
  • [48] Asymptotical and adaptive synchronization of Cohen-Grossberg neural networks with heterogeneous proportional delays
    Jia, Shichao
    Hu, Cheng
    Yu, Juan
    Jiang, Haijun
    NEUROCOMPUTING, 2018, 275 : 1449 - 1455
  • [49] Dynamical Behaviors of Discrete-Time Cohen-Grossberg Neural Networks with Discontinuous Activations and Infinite Delays
    Wang, Jinling
    Jiang, Haijun
    Ma, Tianlong
    Hu, Cheng
    ADVANCES IN NEURAL NETWORKS - ISNN 2018, 2018, 10878 : 355 - 363
  • [50] New criteria for globally exponential stability of delayed Cohen-Grossberg neural network
    Chen, Shengshuang
    Zhao, Weirui
    Xu, Yong
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2009, 79 (05) : 1527 - 1543
12345