LOU Xuyang, SHEN Jun. Anti-lag Synchronization Control of A Class of Delayed Chaotic Memristive Neural Networks[J]. INFORMATION AND CONTROL, 2016, 45(4): 437-443. DOI: 10.13976/j.cnki.xk.2016.0437
Citation: LOU Xuyang, SHEN Jun. Anti-lag Synchronization Control of A Class of Delayed Chaotic Memristive Neural Networks[J]. INFORMATION AND CONTROL, 2016, 45(4): 437-443. DOI: 10.13976/j.cnki.xk.2016.0437

Anti-lag Synchronization Control of A Class of Delayed Chaotic Memristive Neural Networks

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  • Received Date: June 03, 2015
  • Revised Date: March 06, 2016
  • Available Online: December 07, 2022
  • Published Date: August 19, 2016
  • In this paper, we study the anti-lag synchronization control problem of a class of chaotic memristive neural networks with time-varying delays, and propose a linear feedback controller that employs differential inclusions theory, the Lyapunov function, and the Halanay inequality technique. By choosing proper controller gain, we can achieve anti-lag synchronization of the drive and response systems in this class of chaotic memristive neural networks. In addition, the controller is easily implemented in practice. The results of a numerical simulation example demonstrate the effectiveness of the proposed controller.
  • [1]
    Chua L O. Memristor-The missing circuit element[J]. IEEE Transactions on Circuit Theory, 1971, 18(5): 507-519.
    [2]
    Strukov D B, Snider G S, Stewart D R, et al. The missing memristor found[J]. Nature, 2008, 453(7191): 80-83.
    [3]
    Jo S H, Change T, Ebong I, et al. Nanoscale memristor device as synapse in neuromorphic systems[J]. Nano Letters, 2010, 10(4): 1297-1301.
    [4]
    李文林, 沈志萍, 陈秀琴. 统一混沌系统同步及其在保密通信中的应用[J]. 信息与控制, 2008, 37(6): 757-761.

    Li W L, Shen Z P, Chen X Q. Synchronization of a unified chaotic system and its application to secure communication[J]. Information and Control, 2008, 37(6): 757-761.
    [5]
    许碧荣. 蔡氏混沌系统网络的混沌同步及其保密通信[J]. 信息与控制, 2010, 39(1): 54-58.

    Xu B R. Chaotic synchronization of network of chua's chaotic system and its application to secure communication[J]. Information and Control, 2010, 39(1): 54-58.
    [6]
    Williams R. How we found the missing memristor[J]. Spectrum of IEEE, 2008, 45(12): 28-35.
    [7]
    薛怀庆, 彭建奎, 安新磊, 等. 分数阶混沌系统全状态混合投影同步及在保密通信中的应用[J]. 信息与控制, 2013, 42(2): 229-235.

    Xue H Q, Peng J K, An X L, et al. Full state hybrid projective synchronization of fractional-order chaotic systems and its application to secure communication[J]. Information and Control, 2013, 42(2): 229-235.
    [8]
    Zhang G D, Shen Y, Sun J W. Global exponential stability of a class of memristor-based recurrent neural networks with time-varying delays[J]. Neurocomputing, 2012, 97(11): 149-154.
    [9]
    Guo Z Y, Wang J, Yan Z. Global exponential dissipativity and stabilization of memristor-based recurrent neural networks with time-varying delays[J]. Neural Networks, 2013, 48(12): 158-172.
    [10]
    Chen J J, Zeng Z G. On the periodic dynamics of memristor-based neural networks with time-varying delays[J]. Information Sciences, 2014, 279(9): 358-373.
    [11]
    Zhang G D, Shen Y. Exponential synchronization of delayed memristor-based chaotic neural networks via periodically intermittent control[J]. Neural Nteworks, 2014, 55(7): 1-10.
    [12]
    Wu A L, Zeng Z G. Anti-synchronization control of a class of memristive recurrent neural networks[J]. Communications in Nonlinear Science and Numerical Simulation, 2013, 18(2): 373-385.
    [13]
    Zhang G D, Hu J H, Shen Y. Exponential lag synchronization for delayed memristive recurrent neural networks[J]. Neurocomputing, 2015, 154(4): 86-93.
    [14]
    Mahmoud E E. Adaptive anti-lag synchronization of two identical or non-identical hyperchaotic complex nonlinear systems with uncertain parameters[J]. Journal of the Franklin Institute, 2012, 349(3): 1247-1266.
    [15]
    Ahn C K. Anti-synchronization of time-delayed chaotic neural networks based on adaptive control[J]. International Journal Theoretical Physics, 2009, 48: 3498-3509.
    [16]
    Li G H, Zhou S P. An observer-based anti-synchronization[J]. Chaos, Solitons & Fractals, 2006, 29(2): 495-498.
    [17]
    Zhou J, Chen T P, Xiang L. Chaotic lag synchronization of coupled delayed neural networks and its applications in secure communication[J]. Circuits, Systems and Signal Processing, 2005, 24(5): 599-613.
    [18]
    Wang L M, Shen Y. Design of controller on synchronization of memristor-based neural networks with time-varying delays[J]. Neurocomputing, 2015, 69(9): 20-28.
    [19]
    Filippov A F. Differencial equations with discontinuous right-hand sides[M]. Dordrecht, the Netherlands: Kluwer Academic, 1988: 25-28.
    [20]
    Aubin J P, Cellina A. Differencial inclusions: Set-valued maps and viability theory[M]. Belin, Germany: Springer-Verlag, 1984: 28-30.
    [21]
    Zhang G D, Shen Y, Wang L M. Global anti-synchronization of a class of chaotic memristive neural networks with time-varying delays[J]. Neural Networks, 2013, 46(10): 1-8.
    [22]
    Zhao H Y, Zhang Q. Global impulsive exponential anti-synchronization of delayed chaotic neural networks[J]. Neurocomputing, 2011, 74(4): 563-567.
    [23]
    Wu A L, Zeng Z G, Zhu X S, et al. Exponential synchronization of memristor-based recurrent neural networks with time delays[J]. Neurocomputing, 2011, 74(17): 3043-3050.
    [24]
    Song Y F, Shen Y, Wen S P. Synchronization control of stochastic memristor-based neural networks with mixed delays[J]. Neurocomputing, 2015, 156(5): 121-128.

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