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An Event-Triggered Method for Stabilization of Stochastic Quaternion-Valued Memristive Neural Networks

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Abstract

The stochastic disturbances are common in real world and usually cause significant influence to engineering system. In this work, the stochastic disturbance is introduced into the quaternion-valued memristive neural networks (QVMNNs). The exponential input-to-state stabilization (EITSS) problem of stochastic QVMNNs is investigated. In order to be more effective and less costly in real applications, an event-triggered control strategy is adopted. The original QVMNNs are separated into four equivalent real-valued NNs by using Hamilton rule. Then, by using the Lyapunov functional approach and stochastic analysis technique, novel sufficient conditions for mean square EITSS of stochastic QVMNNs are derived. Moreover, it is proved that Zeno behavior will not take place in our event-triggered control method. Thus, the mean square EITSS problem of stochastic QVMNNs is solved in this work with less control cost. Lastly, simulation is performed to manifest the correctness of the theorem.

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Funding

This research was supported by the Natural Science Foundation of Jiangsu Province under Grant No. BK20210635 and the Key Project of Natural Science Foundation of China (No. 61833005).

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Authors and Affiliations

  1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    Ruoyu Wei

  2. Center for Applied Mathematics of Jiangsu Province, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    Ruoyu Wei

  3. Nanjing Xinda Institute of Safety and Emergency Management, Nanjing, 210044, China

    Ruoyu Wei

  4. School of Mathematics, Southeast University, Nanjing, 210096, China

    Jinde Cao

  5. Yonsei Frontier Lab, Yonsei University, Seoul, 03722, South Korea

    Jinde Cao

  6. Department of Innovative Technologies, National Research Tomsk State University, Tomsk, 634050, Russia

    Sergey Gorbachev

Authors
  1. Ruoyu Wei
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  2. Jinde Cao
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  3. Sergey Gorbachev
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Correspondence to Ruoyu Wei.

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Wei, R., Cao, J. & Gorbachev, S. An Event-Triggered Method for Stabilization of Stochastic Quaternion-Valued Memristive Neural Networks. Cogn Comput 16, 75–85 (2024). https://doi.org/10.1007/s12559-023-10186-9

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  • DOI: https://doi.org/10.1007/s12559-023-10186-9

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