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General Decay Synchronization of Fuzzy Inertial Memristive Neural Networks with Discontinuous Activation Function

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Abstract

This paper studied the general decay synchronization (GDS) of fuzzy inertial memristive neural networks (FIMNNs) with mixed delays and discontinuous activation function. Firstly, in light of the Filippov regularization method and a few prerequisites, a new Lemma is generated and it is then applied to the issues in this study. Secondly, the GDS of FIMNNs were investigated by devising two distinct nonlinear controllers, and several new criteria for insuring GDS are derived by using inequality transformation and Lyapunov functional method. Lastly, several simulation examples indicate correctness of the conclusion.

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Acknowledgements

The authors would like to thank the National Natural Science Foundation of China (61876192), the Fundamental Research Funds for the Central Universities (CZT20020) and Academic Team in Universities (KTZ20051) for their assistance.

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Author notes

  1. Huihui Chen, Junhao Hu and Jin Yang have contributed equally to this work.

Authors and Affiliations

  1. Three Gorges Mathematical Research Center, China Three Gorges University, Yichang, 443000, Hubei, China

    Huihui Chen & Jin Yang

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

    Minghui Jiang

  3. College of Mathematics and Statistics, South Central University for Nationalities, Wuhan, 430074, Hubei, China

    Junhao Hu

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  1. Huihui Chen
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  2. Minghui Jiang
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  3. Junhao Hu
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Correspondence to Minghui Jiang.

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Chen, H., Jiang, M., Hu, J. et al. General Decay Synchronization of Fuzzy Inertial Memristive Neural Networks with Discontinuous Activation Function. Neural Process Lett 55, 10789–10810 (2023). https://doi.org/10.1007/s11063-023-11351-9

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