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New results of projective synchronization for memristor-based coupled neural networks

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  • Liu, Jixin
  • Song, Shimin
  • Jiang, Haijun
  • Li, Jiarong
  • Liu, Xiaolin

Abstract

This paper studies the finite/fixed-time projective inner/outer synchronization of coupled memristor-based neural networks. An improved stability theory is proved to link finite-time and fixed-time synchronization only under the same one controller, which is more flexible and practical. Some sufficient conditions are acquired by means of Lyapunov methods, inequality techniques and designing appropriate controller to ensure finite/fixed-time projective inner/outer synchronization. The setting time of finite-time synchronization is discussed in detail and more accurate results are obtained. Some examples are presented to examine the feasibility and effectiveness of corresponding results.

Suggested Citation

  • Liu, Jixin & Song, Shimin & Jiang, Haijun & Li, Jiarong & Liu, Xiaolin, 2020. "New results of projective synchronization for memristor-based coupled neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    • Handle: RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119320849
    DOI: 10.1016/j.physa.2019.123739
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    References listed on IDEAS

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    1. Li, Ruoxia & Cao, Jinde & Alsaedi, Ahmad & Alsaadi, Fuad, 2017. "Exponential and fixed-time synchronization of Cohen–Grossberg neural networks with time-varying delays and reaction-diffusion terms," Applied Mathematics and Computation, Elsevier, vol. 313(C), pages 37-51.
    2. Dmitri B. Strukov & Gregory S. Snider & Duncan R. Stewart & R. Stanley Williams, 2008. "The missing memristor found," Nature, Nature, vol. 453(7191), pages 80-83, May.
    3. Pradeep, C. & Cao, Yang & Murugesu, R. & Rakkiyappan, R., 2019. "An event-triggered synchronization of semi-Markov jump neural networks with time-varying delays based on generalized free-weighting-matrix approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 155(C), pages 41-56.
    4. Chen, Chuan & Li, Lixiang & Peng, Haipeng & Kurths, Jürgen & Yang, Yixian, 2018. "Fixed-time synchronization of hybrid coupled networks with time-varying delays," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 49-56.
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    1. Shoreh, A.A.-H. & Kuznetsov, N.V. & Mokaev, T.N., 2022. "New adaptive synchronization algorithm for a general class of complex hyperchaotic systems with unknown parameters and its application to secure communication," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 586(C).

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