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Stability of Memristor-based Fractional-order Neural Networks with Mixed Time-delay and Impulsive

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Abstract

This paper investigates the global Mittag-Leffler stability of memristor-based fractional-order neural networks with mixed time-delay and impulsive. Firstly, based on assumptions, we get a Lemma about distributed delay, which is used to deal with the problems in this paper. Secondly, with the help of contraction mapping principle, the existence and uniqueness of the solution of the system are proved in this paper. Finally, this paper obtains a new sufficient condition which ensures the system globally Mittag-Leffler stable. Numerical simulations are used to verify the correctness and validity of the results in this paper.

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  1. This author contributed equally to this work.

Authors and Affiliations

  1. Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, China

    Ji Chen

  2. Institute of Nonlinear Complex Systems, China Three Gorges University, Yichang, 443000, Hubei, China

    Minghui Jiang

Authors
  1. Ji Chen
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  2. Minghui Jiang
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Correspondence to Minghui Jiang.

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Chen, J., Jiang, M. Stability of Memristor-based Fractional-order Neural Networks with Mixed Time-delay and Impulsive. Neural Process Lett 55, 4697–4718 (2023). https://doi.org/10.1007/s11063-022-11061-8

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