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Cluster, local and complete synchronization in coupled neural networks with mixed delays and nonlinear coupling

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Abstract

In this paper, synchronization analysis is investigated for an array of hybrid coupled neural networks with discrete time-varying delays, distributed time-varying delays and nonlinear coupling. By utilizing a special coupling matrix and Kronecker product, several novel delay-dependent criteria are developed to achieve cluster, local and complete synchronization under a uniform scheme for the coupled neural networks if certain linear matrix inequalities are feasible. The proposed criteria are less conservative than some recently known ones in the literature, which is demonstrated via an example.

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Acknowledgments

This work was partially supported by The National Natural Science Foundation of China under Grant No. 61273021.

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Authors and Affiliations

  1. Department of Mathematics, Chongqing Jiaotong University, Chongqing, 400074, China

    Qiankun Song

  2. Department of Mathematics, Huzhou Teachers College, Huzhou, 313000, China

    Zhenjiang Zhao

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  1. Qiankun Song
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  2. Zhenjiang Zhao
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Correspondence to Qiankun Song.

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Song, Q., Zhao, Z. Cluster, local and complete synchronization in coupled neural networks with mixed delays and nonlinear coupling. Neural Comput & Applic 24, 1101–1113 (2014). https://doi.org/10.1007/s00521-012-1296-4

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  • DOI: https://doi.org/10.1007/s00521-012-1296-4

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