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Volume 3 Issue 2
Apr.  2016

IEEE/CAA Journal of Automatica Sinica

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Article Navigation >  IEEE/CAA Journal of Automatica Sinica  > 2016  >  3(2): 121-131
Zhenyuan Guo,  Shaofu Yang and  Jun Wang, "Global Synchronization of Stochastically Disturbed Memristive Neurodynamics via Discontinuous Control Laws," IEEE/CAA J. of Autom. Sinica, vol. 3, no. 2, pp. 121-131, 2016.
Citation: Zhenyuan Guo,  Shaofu Yang and  Jun Wang, "Global Synchronization of Stochastically Disturbed Memristive Neurodynamics via Discontinuous Control Laws," IEEE/CAA J. of Autom. Sinica, vol. 3, no. 2, pp. 121-131, 2016.
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Global Synchronization of Stochastically Disturbed Memristive Neurodynamics via Discontinuous Control Laws

  • 1. College of Mathematics and Econometrics, Hunan University, Changsha, China;

  • 2. Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong, China;

  • 3. Department of Computer Science, City University of Hong Kong, Kowloon, Hong Kong, China

Funds:

This work was supported by the Research Grants Council of the Hong Kong Special Administrative Region, China (416811,416812), National Natural Science Foundation of China (61573003), and in part by the Scientific Research Fund of Hunan Provincial Education Department of China (15k026).

    Abstract

  • This paper presents the theoretical results on the master-slave (or driving-response) synchronization of two memristive neural networks in the presence of additive noise. First, a control law with a linear time-delay feedback term and a discontinuous feedback term is introduced. By utilizing the stability theory of stochastic differential equations, sufficient conditions are derived for ascertaining global synchronization in mean square using this control law. Second, an adaptive control law consisting of a linear feedback term and a discontinuous feedback term is designed to achieve global synchronization in mean square, and it does not need prior information of network parameters or random disturbances. Finally, simulation results are presented to substantiate the theoretical results.

     

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