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Synchronization control of quaternion-valued memristive neural networks with and without event-triggered scheme

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Abstract

In this paper, the real-valued memristive neural networks (MNNs) are extended to quaternion field, a new class of neural networks named quaternion-valued memristive neural networks (QVMNNs) is then established. The problem of master-slave synchronization of this type of networks is investigated in this paper. Two types of controllers are designed: the traditional feedback controller and the event-triggered controller. Corresponding synchronization criteria are then derived based on Lyapunov method. Moreover, it is demonstrated that Zeno behavior can be avoided in case of the event-triggered strategy proposed in this work. Finally, corresponding simulation examples are proposed to demonstrate the correctness of the proposed results derived in this work.

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Authors and Affiliations

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

    Ruoyu Wei & Jinde Cao

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  1. Ruoyu Wei
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  2. Jinde Cao
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Correspondence to Jinde Cao.

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This work was supported by the Scientific Research Foundation of Graduate School of Southeast University under Grant No. 3207019703 and Innovation project for College Graduates of Jiangsu Province of China under Grant No. KYCX18-0054.

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Wei, R., Cao, J. Synchronization control of quaternion-valued memristive neural networks with and without event-triggered scheme. Cogn Neurodyn 13, 489–502 (2019). https://doi.org/10.1007/s11571-019-09545-w

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  • DOI: https://doi.org/10.1007/s11571-019-09545-w

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