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Synchronization of Switched Coupled Neural Networks with Distributed Impulsive Effects: An Impulsive Strength Dependent Approach

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Abstract

The main focus of this paper is to investigate synchronization of delayed impulsive switched coupled neural networks, in which both synchronizing and desynchronizing impulses are taken into account simultaneously in a distributed way. In addition, both cooperative and competitive interactions are considered. In view of the impulsive strength-dependent average impulsive interval (ISDAII) and the Lyapunov function approach, exponential synchronization problem was investigated for the considered coupled impulsive switched neural networks, where, it is assumed that the average impulsive intervals for different impulsive sequences are distinct. Thus, the proposed ISDAII approach is more general and of a wider application than the usual AII approach. The theoretical results have been verified via a numerical example.

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Authors and Affiliations

  1. The School of Mathematical Sciences, Yangzhou University, Jiangsu, 225002, China

    Huan Zhang & Wenbing Zhang

  2. The School of Continuing Education, Shanghai Jiao Tong University, Shanghai, 200240, China

    Qingying Miao

  3. The Department of Mathematics, Fuyang Normal College, Fuyang, 236032, China

    Ying Cui

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  1. Huan Zhang
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  2. Wenbing Zhang
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  3. Qingying Miao
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  4. Ying Cui
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Correspondence to Qingying Miao.

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This work was supported in part by the National Natural Science Foundation of China under Grant 61873230, 61503328, 61873167.

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Zhang, H., Zhang, W., Miao, Q. et al. Synchronization of Switched Coupled Neural Networks with Distributed Impulsive Effects: An Impulsive Strength Dependent Approach. Neural Process Lett 50, 515–529 (2019). https://doi.org/10.1007/s11063-019-10020-0

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