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Nonsmooth exponential synchronization of coupled neural networks with delays: new switching design

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Abstract

This paper considers the exponential synchronization for a class of coupled time-delayed neural networks with discontinuous activations. Based on differential inclusions theory, set-valued analysis, and by constructing suitable coupling function and Lyapunov function, designing a novel discontinuous controller, when the controller and activation functions are both discontinuous, the global exponential synchronization for the coupled neural networks can be achieved. Especially, we consider a new Lyapunov–Krasovskii functional which is time-dependent, and the results in this paper are applicable to the undirected weighted networks. Finally, to demonstrate the correctness of our results, a numerical example is provided to illustrate it. Our results extend previously known researches.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (11771059).

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Changsha University, Changsha, 410022, People’s Republic of China

    Chao Yang

  2. School of Mathematical and Statistics, Changsha University of Science and Technology, Changsha, 410114, Hunan, People’s Republic of China

    Lihong Huang

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  1. Chao Yang
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Correspondence to Lihong Huang.

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Yang, C., Huang, L. Nonsmooth exponential synchronization of coupled neural networks with delays: new switching design. Int. J. Mach. Learn. & Cyber. 10, 623–630 (2019). https://doi.org/10.1007/s13042-017-0742-0

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  • DOI: https://doi.org/10.1007/s13042-017-0742-0

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