Sine-based event-triggered control for practical prescribed-time phase synchronization in multiplex Kuramoto networks

作者：Xinmei Hu, Pengchun Rao · 发表于：Physica Scripta · 年份：2026 · DOI：10.1088/1402-4896/ae5af3 · 研究领域：Nonlinear Dynamics and Pattern Formation、Neural Networks Stability and Synchronization、Stability and Controllability of Differential Equations

Abstract This paper investigates the problem of practical prescribed-time phase synchronization for homogeneous Kuramoto networks under an event-triggered control mechanism. A sine-based event-triggered scheme with a time-varying function is proposed, which preserves the inherent sine coupling of the Kuramoto model. By establishing a positively invariant set for phase differences, the oscillator trajectories are confined within a local basin of attraction. Within this invariant set, sufficient conditions for achieving practical prescribed-time phase synchronization are derived via Lyapunov analysis, and Zeno behavior is rigorously excluded by providing an explicit lower bound on the inter-event times. Numerical simulations further demonstrate the effectiveness of the proposed approach.