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Synchronization analysis for discrete fractional-order complex-valued neural networks with time delays

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Abstract

In this paper, we do not separate the complex-valued neural networks into two real-valued systems, the quasi-projective synchronization and complete synchronization of fractional-order complex-valued neural networks with time delays are investigated. First, the generalized discrete fractional Halanay inequality with bounded time delays is established. Further, based on the generalized discrete fractional Halanay inequality and Lyapunov functional method, several novel quasi-projective synchronization and complete synchronization conditions of fractional-order complex-valued neural networks with time delays are derived. Finally, several examples are presented to illustrated the results.

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Acknowledgements

The authors would like to thank to anonymous reviewers for their valuable comments and suggestions, which improved the quality of the paper. This paper is supported by the Natural Science Foundation of Hebei Province (No. A2020205026), the Scientific Research Foundation of Hebei Education Department (No. QN2020202), the Science Foundation of Hebei Normal University (No. L2020B01), the National Nature Science Foundation of China (No. 61304155, No. 61903386).

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Authors and Affiliations

  1. School of Mathematical Sciences, Postdoctoral Research Station of Mathematics, Hebei Normal University, Shijiazhuang, 050024, China

    Xiang Liu

  2. Department of Automation, Beijing Jiaotong University, Beijing, 100244, China

    Yongguang Yu

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  1. Xiang Liu
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  2. Yongguang Yu
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Correspondence to Yongguang Yu.

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Liu, X., Yu, Y. Synchronization analysis for discrete fractional-order complex-valued neural networks with time delays. Neural Comput & Applic 33, 10503–10514 (2021). https://doi.org/10.1007/s00521-021-05808-y

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