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Adaptive Synchronization for Neural Networks with Multiple Time-Delays and Lévy Noise

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Proceedings of 2021 Chinese Intelligent Systems Conference

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 805))

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Abstract

In this paper, the adaptive synchronization issue is investigated for neural networks (NNs) with multiple time-delays and Lévy noise. Based on the Gronwally’s inequality and the Lyapunov stability theory, several sufficient conditions for NNs with multiple time-delays and Lévy noise are obtained to guarantee to be exponential stability in the second moment. At the same time, the corresponding adaptive feedback gain is given. Finally, a simulation result is presented to show the effectiveness of the proposed approach.

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Acknowledgments

This work is partially supported by the Natural Science Foundation of Shanghai (20ZR1422400).

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Authors and Affiliations

  1. College of Information Engineering, Guangxi City Vocational University, Nanning, 532100, Guangxi, China

    Dongbing Tong, Qinfeng Zhang, Yaoqing Xi, Shizhen Zheng & Rihui Liu

Authors
  1. Dongbing Tong
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  2. Qinfeng Zhang
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  3. Yaoqing Xi
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  4. Shizhen Zheng
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  5. Rihui Liu
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Editor information

Editors and Affiliations

  1. School of Automatic Science and Electrical Engineering, Beihang University, Beijing, China

    Yingmin Jia

  2. School of Automation and Electrical Engineering, University of Science and Technology, Beijing, China

    Weicun Zhang

  3. School of Mechanical Engineering and Automation, Beihang University, Beijing, China

    Yongling Fu

  4. Beijing Institute of Precision Mechatronics and Controls, Beijing, China

    Zhiyuan Yu

  5. College of Electrical Engineering and Automation, Fuzhou University, Fuzhou, Fujian, China

    Song Zheng

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© 2022 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Tong, D., Zhang, Q., Xi, Y., Zheng, S., Liu, R. (2022). Adaptive Synchronization for Neural Networks with Multiple Time-Delays and Lévy Noise. In: Jia, Y., Zhang, W., Fu, Y., Yu, Z., Zheng, S. (eds) Proceedings of 2021 Chinese Intelligent Systems Conference. Lecture Notes in Electrical Engineering, vol 805. Springer, Singapore. https://doi.org/10.1007/978-981-16-6320-8_26

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