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A Simplified Controller Design for Fixed/Preassigned-Time Synchronization of Stochastic Discontinuous Neural Networks

Author

Listed:
  • Haoyu Li

    (School of Automation, China University of Geosciences, Wuhan 430074, China)

  • Leimin Wang

    (School of Automation, China University of Geosciences, Wuhan 430074, China)

  • Wenwen Shen

    (College of Information Engineering (College of Artificial Intelligence), Yangzhou University, Yangzhou 225127, China)

Abstract

This paper addresses the synchronization problem of delayed stochastic neural networks with discontinuous activation functions (DSNNsDF), specifically focusing on fixed/preassigned-time synchronization. The objective is to develop a class of simplified controllers capable of effectively addressing the challenges posed by time delays, discontinuous activation functions, and stochastic perturbations during the synchronization process. In this regard, we propose several controllers with simpler structures to achieve the desired preassigned-time synchronization (PTS) result. To enhance the accuracy of time estimation, stochastic fixed-time control theory is employed. Rigorous numerical simulations are conducted to validate the effectiveness of our approach. The utilization of our proposed results significantly improves the performance of the synchronization controller for DSNNsDF, thereby enabling advancements and diverse applications in the field.

Suggested Citation

  • Haoyu Li & Leimin Wang & Wenwen Shen, 2023. "A Simplified Controller Design for Fixed/Preassigned-Time Synchronization of Stochastic Discontinuous Neural Networks," Mathematics, MDPI, vol. 11(21), pages 1-15, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:21:p:4414-:d:1266679
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    References listed on IDEAS

    as
    1. Wang, Yang & Li, Huanyun & Guan, Yan & Chen, Mingshu, 2022. "Predefined-time chaos synchronization of memristor chaotic systems by using simplified control inputs," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    2. Yu Yao & Guodong Zhang & Yan Li, 2023. "Fixed/Preassigned-Time Stabilization for Complex-Valued Inertial Neural Networks with Distributed Delays: A Non-Separation Approach," Mathematics, MDPI, vol. 11(10), pages 1-17, May.
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