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Complex Projection Synchronization of Fractional-Order Complex-Valued Memristive Neural Networks with Multiple Delays

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Abstract

In this paper, the complex projection synchronization problem of fractional-order complex-valued memristive neural networks is investigated, in which the projection factor is set to complex value and multiple time delays are considered. Under the framework of set-valued mapping and differential inclusion theory, a hybrid control strategy is designed to analyze the complex projection synchronization problem of the system. Moreover, some criterion to ensure the synchronization of drive response network is obtained by applying the stability theorem and comparison principle of the fractional order systems with multiple time delays. Finally, numerical simulation example is provided to verify the correctness and effectiveness of the complex projection synchronization strategy.

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Authors and Affiliations

  1. School of Electronics and Information Engineering, Anhui University, Hefei, 230601, China

    Dawei Ding, Xiaolei Yao & Hongwei Zhang

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  1. Dawei Ding
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  2. Xiaolei Yao
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  3. Hongwei Zhang
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Correspondence to Hongwei Zhang.

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Ding, D., Yao, X. & Zhang, H. Complex Projection Synchronization of Fractional-Order Complex-Valued Memristive Neural Networks with Multiple Delays. Neural Process Lett 51, 325–345 (2020). https://doi.org/10.1007/s11063-019-10093-x

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