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Exponential Synchronization of Stochastic Neural Networks with Time-Varying Delays and Lévy Noises via Event-Triggered Control

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Abstract

This study is related to the exponential synchronization problem of stochastic neural networks. A dynamic model of master-slave neural networks is established, which contains time-varying delays and Lévy noises. The main purpose is to enable the slave system to follow the master system under the condition of limited communication capacity. Both the master system and the slave system are affected by random noises. Some sufficient conditions are given by means of linear matrix inequality methods which are established by applying Lyapunov functional together with the generalized Dynkin’s formula. Furthermore, a discrete event-triggered control is adopted in master-slave systems, which not only reduces the transmission resources but also avoids the Zeno phenomenon. At last, a numerical example is provided to verify the usefulness of judgment conditions in this study.

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Author information

Authors and Affiliations

  1. College of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Shanghai, 201620, China

    Danni Lu, Dongbing Tong & Qiaoyu Chen

  2. College of Information Sciences and Technology, Donghua University, Shanghai, 200051, China

    Wuneng Zhou

  3. College of Mathematics and Physics, Southwest Forestry University, Kunming, 650224, China

    Jun Zhou

  4. Department of Computer Science and Engineering, Shaoxing University, Shaoxing, 312000, China

    Shigen Shen

Authors
  1. Danni Lu
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  2. Dongbing Tong
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  3. Qiaoyu Chen
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  4. Wuneng Zhou
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  5. Jun Zhou
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  6. Shigen Shen
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Correspondence to Dongbing Tong or Qiaoyu Chen.

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This work is partially supported by National Natural Science Foundation of China (61673257; 61772018), the Natural Science Foundation of Shanghai (20ZR1422400), the China Postdoctoral Science Foundation (2019M661322), Yunnan Fundamental Research Projects (202001AT070112), and Southwest Forestry University Research Startup Foundation (112007)

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Lu, D., Tong, D., Chen, Q. et al. Exponential Synchronization of Stochastic Neural Networks with Time-Varying Delays and Lévy Noises via Event-Triggered Control. Neural Process Lett 53, 2175–2196 (2021). https://doi.org/10.1007/s11063-021-10509-7

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