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
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] 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
  • [42] Synchronization between Bidirectional Coupled Nonautonomous Delayed Cohen-Grossberg Neural Networks
    Liu, Qiming
    Xu, Rui
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [43] 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
  • [44] Exponential stability of Cohen-Grossberg neural networks with delays
    Zhang, W
    Yu, JQ
    ADVANCES IN NEURAL NETWORKS - ISNN 2005, PT 1, PROCEEDINGS, 2005, 3496 : 149 - 155
  • [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] Exponential and almost sure exponential stability of stochastic fuzzy delayed Cohen-Grossberg neural networks
    Zhu, Quanxin
    Li, Xiaodi
    FUZZY SETS AND SYSTEMS, 2012, 203 : 74 - 94
  • [47] General decay synchronization of memristor-based Cohen-Grossberg neural networks with mixed time-delays and discontinuous activations
    Abdurahman, Abdujelil
    Jiang, Haijun
    Hu, Cheng
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (15): : 7028 - 7052
  • [48] Adaptive regulation synchronization for a class of delayed Cohen–Grossberg neural networks
    Wei-Wei Che
    Wei Guan
    Yu-Long Wang
    Nonlinear Dynamics, 2013, 74 : 929 - 942
  • [49] Adaptive lag synchronization of chaotic Cohen-Grossberg neural networks with discrete delays
    Liu, Qiming
    Zhang, Shihua
    CHAOS, 2012, 22 (03)
  • [50] 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