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Sampled-data-based lag synchronization of chaotic delayed neural networks with impulsive control

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Abstract

In the framework of sampled-data control, this paper deals with the lag synchronization of chaotic neural networks with time delay meanwhile taking the impulsive control into account. By constructing a proper Lyapunov function and employing the impulsive control theory, some sufficient conditions for lag synchronization of the addressed chaotic neural networks are derived in terms of linear matrix inequalities (LMIs). The hybrid controller including sampled-data controller and impulsive controller is designed based on the established LMIs. A numerical example is provided to demonstrate the effectiveness and advantage of the obtained results.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Shandong Normal University, Jinan, 250014, People’s Republic of China

    Xiaoyu Zhang, Xiaoxiao Lv & Xiaodi Li

  2. Institute of Data Science and Technology, Shandong Normal University, Jinan, 250014, People’s Republic of China

    Xiaodi Li

Authors
  1. Xiaoyu Zhang
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  2. Xiaoxiao Lv
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  3. Xiaodi Li
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Corresponding author

Correspondence to Xiaodi Li.

Additional information

This work was supported by National Natural Science Foundation of China (11301308, 61673247) and the Research Fund for Distinguished Young Scholars and Excellent Young Scholars of Shandong Province (ZR201702100145, JQ201719). The paper has not been presented at any conference.

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Zhang, X., Lv, X. & Li, X. Sampled-data-based lag synchronization of chaotic delayed neural networks with impulsive control. Nonlinear Dyn 90, 2199–2207 (2017). https://doi.org/10.1007/s11071-017-3795-4

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  • DOI: https://doi.org/10.1007/s11071-017-3795-4

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