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Fixed/Preassigned-Time Stabilization for Complex-Valued Inertial Neural Networks with Distributed Delays: A Non-Separation Approach

Author

Listed:
  • Yu Yao

    (College of Mathematics and Statistics, South-Central MinZu University, Wuhan 430074, China)

  • Guodong Zhang

    (College of Mathematics and Statistics, South-Central MinZu University, Wuhan 430074, China)

  • Yan Li

    (School of Science, Huazhong Agricultural University, Wuhan 430072, China)

Abstract

This article explores complex-valued inertial neural networks (CVINNs) with distributed delays (DDs). By constructing two new feedback controllers, some novel results on fixed-time stabilization (FTS) and preassigned-time stabilization (PTS) of CVINNs are established. Unlike most of the previous works, FTS and PTS obtained here are explored without dividing the original complex-valued system into two separate real valued subsystems. Eventually, to verify the effectiveness and reliability of the results of this article, we provide several numerical examples. The FTS and PTS of CVINNs are successfully implemented at T = 6, 5.5, and 5, and the settling time is not affected by system parameters and initial values.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:10:p:2275-:d:1146040
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    References listed on IDEAS

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    Cited by:

    1. Juan Yu & Kailong Xiong & Cheng Hu, 2024. "Synchronization Analysis for Quaternion-Valued Delayed Neural Networks with Impulse and Inertia via a Direct Technique," Mathematics, MDPI, vol. 12(7), pages 1-22, March.
    2. 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.

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