Pulse Synchronization Control of Kuramoto Oscillator Network System Based on Asynchronous Event Drive

本文探讨了基于异步事件驱动脉冲控制策略的Kuramoto网络振子同步控制问题。针对一致性Kuramoto振子网络，设计了一类具有执行器延迟的事件触发脉冲控制策略，基于Lyapunov稳定性理论进行了理论证明。通过数值仿真验证了所提出策略的有效性，结果显示在特定条件下系统能够实现相位同步，同时有效避免了Zeno现象的发生。研究进一步扩展至非一致性Kuramoto网络振子，分析了在事件触发控制下的频率同步问题，并提供了相应的理论支持和数值模拟，丰富了Kuramoto模型的应用范围。In this paper, the problem of synchronized control of Kuramoto network oscillators based on asynchronous event-driven pulse control strategies is explored. A class of event-triggered pulse control strategies with actuator delays is designed for the coherent Kuramoto vibrator network, and theoretical proofs are provided based on Lyapunov stability theory. The effectiveness of the proposed strategies is verified by numerical simulations, and the results show that the system is able to achieve phase synchronization under specific conditions while effectively avoiding the occurrence of Zeno phenomenon. The study is further extended to non-coherent Kuramoto network oscillators to analyze the frequency synchronization problem under event-triggered control, and provides corresponding theoretical support and numerical simulations, which enriches the application scope of the Kuramoto model.