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Synchronization criteria for multiple memristor-based neural networks with time delay and inertial term

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Abstract

This present work uses different methods to synchronize the inertial memristor systems with linear coupling. Firstly, the math- ematical model of inertial memristor-based neural networks (IMNNs) with time delay is proposed, where the coupling matrix satisfies the diffusion condition, which can be symmetric or asymmetric. Secondly, by using differential inclusion method and Halanay inequality, some algebraic self-synchronization criteria are obtained. Then, via constructing effective Lyapunov functional, designing discontinuous control algorithms, some new sufficient conditions are gained to achieve synchronization of networks. Finally, two illustrative simulations are provided to show the validity of the obtained results, which cannot be contained by each other.

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Authors and Affiliations

  1. College of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou, 450046, China

    Ning Li

  2. School of Mathematics, and Research Center for Complex Systems and Network Sciences, Southeast University, Nanjing, 210096, China

    JinDe Cao

Authors
  1. Ning Li
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  2. JinDe Cao
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Correspondence to Ning Li or JinDe Cao.

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Li, N., Cao, J. Synchronization criteria for multiple memristor-based neural networks with time delay and inertial term. Sci. China Technol. Sci. 61, 612–622 (2018). https://doi.org/10.1007/s11431-017-9189-3

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  • DOI: https://doi.org/10.1007/s11431-017-9189-3

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