Science China Technological Sciences

, Volume 61, Issue 4, pp 612–622 | Cite as

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.

Keywords

memristor-based neural networks (MNNs) inertial term synchronization discontinuous control 

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Copyright information

© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.College of Mathematics and Information ScienceHenan University of Economics and LawZhengzhouChina
  2. 2.School of Mathematics, and Research Center for Complex Systems and Network SciencesSoutheast UniversityNanjingChina

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