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Finite-time synchronization of delayed competitive neural networks with discontinuous neuron activations

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Abstract

This paper is concerned with the finite-time synchronization problem for a class of delayed competitive neural networks with discontinuous activations. Using the theory of differential inclusions, nonsmooth analysis, inequality techniques and a generalized finite-time convergence theorem, new criteria are established to ensure the finite-time stability of the considered error system, and thus the finite-time synchronization between the drive system and the response system are realized. Finally, two examples with numerical simulations are presented to illustrate the effectiveness of the proposed synchronization criteria.

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Acknowledgements

We would like to thank the editors and the anonymous reviewers for carefully reading the original manuscript and for the constructive comments and suggestions to improve the presentation of this paper.

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Authors and Affiliations

  1. School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan, 232001, Anhui, People’s Republic of China

    Lian Duan & Xianwen Fang

  2. College of Mathematics and Econometrics, Hunan University, Changsha, 410082, Hunan, People’s Republic of China

    Xuejun Yi & Yujie Fu

Authors
  1. Lian Duan
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  2. Xianwen Fang
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  3. Xuejun Yi
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  4. Yujie Fu
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Corresponding author

Correspondence to Xuejun Yi.

Additional information

This work was supported by the National Natural Science Foundation of China (11371127, 61572035, 61170059), Key Program of Scientific Research Fund for Young Teachers of Anhui University of Science and Technology (QN201605), Doctoral Fund of Anhui University of Science and Technology (11668) and the Key Program of University Natural Science Research Fund of Anhui Province (KJ2017A088).

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Duan, L., Fang, X., Yi, X. et al. Finite-time synchronization of delayed competitive neural networks with discontinuous neuron activations. Int. J. Mach. Learn. & Cyber. 9, 1649–1661 (2018). https://doi.org/10.1007/s13042-017-0670-z

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  • DOI: https://doi.org/10.1007/s13042-017-0670-z

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