Exponential synchronization of memristive Cohen-Grossberg neural networks with mixed delays

被引:162
|
作者
Yang, Xinsong [1 ]
Cao, Jinde [2 ,3 ,4 ]
Yu, Wenwu [2 ,3 ,5 ]
机构
[1] Chongqing Normal Univ, Dept Math, Chongqing 401331, Peoples R China
[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
[3] Southeast Univ, Res Ctr Complex Syst & Network Sci, Nanjing 210096, Jiangsu, Peoples R China
[4] King Abdulaziz Univ, Dept Math, Fac Sci, Jidda 21589, Saudi Arabia
[5] RMIT Univ, Sch Elect & Comp Engn, Melbourne, Vic 3001, Australia
基金
中国国家自然科学基金;
关键词
Exponential synchronization; Memristor; Cohen-Grossberg neural networks; Unbounded distributed delay; Control; TIME-VARYING DELAYS; ADAPTIVE SYNCHRONIZATION; UNKNOWN-PARAMETERS; STABILITY ANALYSIS; MULTISTABILITY; PERTURBATIONS; ELEMENT;
D O I
10.1007/s11571-013-9277-6
中图分类号
Q189 [神经科学];
学科分类号
071006 ;
摘要
This paper concerns the problem of global exponential synchronization for a class of memristor-based Cohen-Grossberg neural networks with time-varying discrete delays and unbounded distributed delays. The drive-response set is discussed. A novel controller is designed such that the response (slave) system can be controlled to synchronize with the drive (master) system. Through a nonlinear transformation, we get an alternative system from the considered memristor-based Cohen-Grossberg neural networks. By investigating the global exponential synchronization of the alternative system, we obtain the corresponding synchronization criteria of the considered memristor-based Cohen-Grossberg neural networks. Moreover, the conditions established in this paper are easy to be verified and improve the conditions derived in most of existing papers concerning stability and synchronization for memristor-based neural networks. Numerical simulations are given to show the effectiveness of the theoretical results.
引用
收藏
页码:239 / 249
页数:11
相关论文
共 50 条
  • [11] 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
  • [12] 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
  • [13] Multistability of Almost Periodic Solution for Memristive Cohen-Grossberg Neural Networks With Mixed Delays
    Qin, Sitian
    Ma, Qiang
    Feng, Jiqiang
    Xu, Chen
    IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2020, 31 (06) : 1914 - 1926
  • [14] Exponential stability of Cohen-Grossberg neural networks with delays and impulses
    Tang, Qing
    Liu, Anping
    Li, Huijuan
    Zou, Min
    2009 INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND COMPUTATIONAL INTELLIGENCE, VOL II, PROCEEDINGS, 2009, : 535 - +
  • [15] Exponential stability of Cohen-Grossberg neural networks with delays and impulses
    Tang, Qing
    Liu, Anping
    Li, Huijuan
    Liu, Ting
    ICCSSE 2009: PROCEEDINGS OF 2009 4TH INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE & EDUCATION, 2009, : 144 - 147
  • [16] Analysis of Exponential Stability for Neutral Stochastic Cohen-Grossberg Neural Networks with Mixed Delays
    Yang, Tianqing
    Xiong, Zuoliang
    Yang, Cuiping
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2019, 2019
  • [17] Exponential Lag Synchronization of Cohen-Grossberg Neural Networks with Discrete and Distributed Delays on Time Scales
    Kumar, Vipin
    Heiland, Jan
    Benner, Peter
    NEURAL PROCESSING LETTERS, 2023, 55 (07) : 9907 - 9929
  • [18] Global exponential stability of Cohen-Grossberg neural networks with variable delays
    Zhang Li-juan
    Shi Bao
    APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B, 2009, 24 (02) : 167 - 174
  • [19] Global exponential stability of impulsive Cohen-Grossberg neural networks with delays
    Luo, Wenpin
    Zhong, Shouming
    Yang, Jun
    CHAOS SOLITONS & FRACTALS, 2009, 42 (02) : 1084 - 1091
  • [20] Globally exponential stability of generalized Cohen-Grossberg neural networks with delays
    Hwang, CC
    Cheng, CJ
    Liao, TL
    PHYSICS LETTERS A, 2003, 319 (1-2) : 157 - 166