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Impulsive-Interaction-Driven Synchronization in an Array of Coupled Neural Networks

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Abstract

This paper deals with the problem of globally exponential synchronization and bipartite synchronization of coupled neural networks with impulsive interactions. Impulsive interaction means that a number of neural networks only communicate with each other at impulsive instants, while the array of neural networks are independent from each other at the remaining time. The advantage of the scheme is that communication cost can be largely reduced when only discrete communication is required. Moreover the communication links between nodes can be either positive or negative at impulsive instants. Using the Lyapunov method combined with some mathematical analysis and average impulsive interval, some efficient criteria are obtained to guarantee synchronization of impulsive coupled neural networks. Finally, the validity of our theoretical results is demonstrated by two numerical examples.

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Acknowledgements

This work was funded by the National Natural Science Foundation of China under Grant No. 61973078, the Natural Science Foundation of Jiangsu Province under Grant BK20170019, the Fundamental Research Funds for the Central Universities of Henan Province Nos. 20B110018 and 19B110012, and Foundation of Xuchang University with No. 2019YB030.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Xuchang University, Xuchang, 461000, People’s Republic of China

    Nan Wang & Xuechen Li

  2. School of Mathematics, Southeast University, Nanjing, 210096, People’s Republic of China

    Jianquan Lu

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  1. Nan Wang
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  2. Xuechen Li
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  3. Jianquan Lu
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Correspondence to Jianquan Lu.

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Wang, N., Li, X. & Lu, J. Impulsive-Interaction-Driven Synchronization in an Array of Coupled Neural Networks. Neural Process Lett 51, 2685–2700 (2020). https://doi.org/10.1007/s11063-020-10214-x

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