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

Junyi Liu, Hongbo Han, Yuncong Ma and Maode Yan ()
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Junyi Liu: School of Science and Engineering, The Chinese University of Hong Kong, Shenzhen 518172, China
Hongbo Han: School of Electronics and Control Engineering, Chang’an University, Xi’an 710064, China
Yuncong Ma: School of Electronics and Control Engineering, Chang’an University, Xi’an 710064, China
Maode Yan: School of Electronics and Control Engineering, Chang’an University, Xi’an 710064, China

Mathematics, 2025, vol. 13, issue 10, 1-24

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.

Keywords: high-order nonlinear multi-agent system; unknown stochastic time delay; event-triggered control; fixed-time stability; Lyapunov–Krasovskii functional (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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