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Quasi-Synchronization of Fractional-Order Complex-Valued Memristive Recurrent Neural Networks with Switching Jumps Mismatch

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Abstract

In this paper, quasi-synchronization of fractional-order complex-valued memristive recurrent neural networks with switching jumps mismatch is investigated. Complex-valued systems are divided into two real-valued systems, which can avoid discussing the strict constraints in complex-value domain. A lemma is derived to deal with the mismatch. Under the framework of Fillipov’s solution, the sufficient conditions of quasi-synchronization are obtained by constructing suitable Lyapunov function. Besides, the error levels of quasi-synchronization are obtained. Some comparisons with existing results are given to verify the improvements. Two numerical simulations are given to demonstrate the effectiveness of the derived conditions.

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Authors and Affiliations

  1. School of Science, Jiangnan University, Wuxi, 214122, People’s Republic of China

    Yongqing Yang & Li Li

  2. School of Computer and Information Engineering, Henan Normal University, Xinxiang, People’s Republic of China

    Shuai Zhang

  3. School of IoT Engineering, Jiangnan University, Wuxi, 214122, People’s Republic of China

    Dinghui Wu

Authors
  1. Shuai Zhang
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  2. Yongqing Yang
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  3. Li Li
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  4. Dinghui Wu
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Correspondence to Yongqing Yang.

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This work was jointly supported by the Natural Science Foundation of Jiangsu Province of China under Grant No. BK20170171, Postgraduate Research & Practice Innovation Program of Jiangsu Province under Grant No. KYCX18\(_{-}\)1857, No. KYCX18\(_{-}\)1858.

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Zhang, S., Yang, Y., Li, L. et al. Quasi-Synchronization of Fractional-Order Complex-Valued Memristive Recurrent Neural Networks with Switching Jumps Mismatch. Neural Process Lett 53, 865–891 (2021). https://doi.org/10.1007/s11063-020-10342-4

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