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Exponential Stabilization for Markov Jump Neural Networks with Additive Time-Varying Delays via Event-Triggered Impulsive Control

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Recent Developments in Mathematical, Statistical and Computational Sciences (AMMCS 2019)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 343))

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Abstract

This paper investigates the Exponential Stabilization (ES) problem for Markov Jumping Neural Networks (MJNNs) with Additive Time-varying Delays (ATDs). To further mitigate the “unnecessary” waste of networks resources, a Sample-based Event-triggered Impulsive Control (SEIC) scheme is employed. A novel Lyapunov-Krasovskii functional is constructed by considering more information about sampled data, ATDs and Markov jump parameters. In virtue of the SEIC scheme, a new ES criterion for MJNNs with ATDs is then presented. In the end, a numerical example is given to illustrate the validity of the obtained result.

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Acknowledgements

This work was funded by the National Natural Science Foundation of China under Grant nos.11671206, 11601474 and 61472093, the China Scholarship Council (CSC), and NSERC Canada.

Author information

Authors and Affiliations

  1. School of Mathematics and Computer Science, Yunnan Minzu University, Kunming, 650500, China

    Haiyang Zhang & Lianglin Xiong

  2. School of Science, Nanjing University of Science and Technology, Nanjing, 210094, China

    Zhipeng Qiu

  3. Department of Applied Mathematics, University of Waterloo, Waterloo, ON, N2L 3G1, Canada

    Xinzhi Liu

Authors
  1. Haiyang Zhang
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  2. Zhipeng Qiu
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  3. Xinzhi Liu
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  4. Lianglin Xiong
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Corresponding author

Correspondence to Haiyang Zhang .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, Canada

    D. Marc Kilgour

  2. Department of Mathematics and Statistics, University of Guelph, Guelph, ON, Canada

    Herb Kunze

  3. Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, Canada

    Roman Makarov

  4. Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, Canada

    Roderick Melnik

  5. Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, Canada

    Xu Wang

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Zhang, H., Qiu, Z., Liu, X., Xiong, L. (2021). Exponential Stabilization for Markov Jump Neural Networks with Additive Time-Varying Delays via Event-Triggered Impulsive Control. In: Kilgour, D.M., Kunze, H., Makarov, R., Melnik, R., Wang, X. (eds) Recent Developments in Mathematical, Statistical and Computational Sciences. AMMCS 2019. Springer Proceedings in Mathematics & Statistics, vol 343. Springer, Cham. https://doi.org/10.1007/978-3-030-63591-6_23

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