Exponential synchronization of coupled memristive neural networks with time delays

被引:64
作者
Wang, Guan [1 ,2 ]
Shen, Yi [1 ,2 ]
机构
[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Hubei, Peoples R China
[2] Minist China, Key Lab Image Proc & Intelligent Control Educ, Wuhan 430074, Hubei, Peoples R China
基金
中国国家自然科学基金;
关键词
Exponential synchronization; Memristor; Coupled neural networks; Time delays; State-dependent switching; STABILITY ANALYSIS; GLOBAL SYNCHRONIZATION; ROBUST SYNCHRONIZATION; DYNAMICS;
D O I
10.1007/s00521-013-1349-3
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 model of coupled memristive neural networks with time delays is established, and sufficient conditions are obtained that guarantee the exponential synchronization for such system. Memristive network exhibits state-dependent switching behaviors due to the physical properties of memristor. It is demonstrated that the synchronization performance is largely dependent on the coupling pattern and strength among memristive neural networks. Moreover, the information exchange graph of the underlying network topology need not be undirected or strongly connected. Finally, numerical simulations are given to verify the usefulness and effectiveness of our results.
引用
收藏
页码:1421 / 1430
页数:10
相关论文
共 41 条
  • [1] [Anonymous], 1988, Differential Equations with Discontinuous Righthand Sides
  • [2] Multistability of periodic delayed recurrent neural network with memristors
    Bao, Gang
    Zeng, Zhigang
    [J]. NEURAL COMPUTING & APPLICATIONS, 2013, 23 (7-8) : 1963 - 1967
  • [3] 'Memristive' switches enable 'stateful' logic operations via material implication
    Borghetti, Julien
    Snider, Gregory S.
    Kuekes, Philip J.
    Yang, J. Joshua
    Stewart, Duncan R.
    Williams, R. Stanley
    [J]. NATURE, 2010, 464 (7290) : 873 - 876
  • [4] Boyd S, 1994, LINEAR MATRIX INEQUA
  • [5] A recurrent fuzzy coupled cellular neural network system with automatic structure and template learning
    Chang, Chun-Lung
    Fan, Kan-Wei
    Chung, I-Fang
    Lin, Chin-Teng
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (08): : 602 - 606
  • [6] Robust H∞ Synchronization Design of Nonlinear Coupled Network via Fuzzy Interpolation Method
    Chen, Bor-Sen
    Chiang, Ching-Han
    Nguang, Sing Kiong
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2011, 58 (02) : 349 - 362
  • [7] CELLULAR NEURAL NETWORKS - THEORY
    CHUA, LO
    YANG, L
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (10): : 1257 - 1272
  • [8] MEMRISTOR - MISSING CIRCUIT ELEMENT
    CHUA, LO
    [J]. IEEE TRANSACTIONS ON CIRCUIT THEORY, 1971, CT18 (05): : 507 - +
  • [9] Global convergence of neural networks with discontinuous neuron activations
    Forti, M
    Nistri, P
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2003, 50 (11) : 1421 - 1435
  • [10] Memory traces in dynamical systems
    Ganguli, Surya
    Huh, Dongsung
    Sompolinsky, Haim
    [J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2008, 105 (48) : 18970 - 18975