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Fixed-Time Event-Triggered Control for High-Order Nonlinear Multi-Agent Systems Under Unknown Stochastic Time Delays

Author

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  • Junyi Liu

    (School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen 518172, China
    These authors contributed equally to this work.)

  • Hongbo Han

    (School of Electronics and Control Engineering, Chang’an University, Xi’an 710064, China
    These authors contributed equally to this work.)

  • Yuncong Ma

    (School of Electronics and Control Engineering, Chang’an University, Xi’an 710064, China
    These authors contributed equally to this work.)

  • Maode Yan

    (School of Electronics and Control Engineering, Chang’an University, Xi’an 710064, China)

Abstract

In this paper, the fixed-time control for high-order nonlinear multi-agent systems under unknown stochastic time delay is investigated via an event-triggered approach. First of all, RBF neural networks are utilized to approximate the system’s uncertain nonlinearities. After that, an event-triggered scheme, which is designed with a relative threshold for more flexible control, is proposed to alleviate the communication burden. In consideration of the unknown stochastic time delay in the inter-communication among high-order nonlinear multi-agent systems, the Lyapunov–Krasovskii functional (LKF) is used to construct the system’s Lyapunov function, specifically targeting the adverse effects caused by time delay. Further, the fixed-time stability theory is employed to ensure that the convergence time remains independent of the initial values. Finally, the proposed control strategy is validated through numerical simulations.

Suggested Citation

  • Junyi Liu & Hongbo Han & Yuncong Ma & Maode Yan, 2025. "Fixed-Time Event-Triggered Control for High-Order Nonlinear Multi-Agent Systems Under Unknown Stochastic Time Delays," Mathematics, MDPI, vol. 13(10), pages 1-24, May.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:10:p:1639-:d:1657804
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