Event-triggered Fixed-time Phase Agreement of Kuramoto-oscillators with Switching Topologies

This paper investigates the synchronization problem for a class of Kuramoto-oscillator network model, which has nonidentical oscillators coupled by a time-varying topology. The distributed fixed-time event-triggered control strategies are adopted to achieve phase agreement. To deal with the time-varying problem of the connection topology of oscillators, we propose a multilayered control structure, which makes it possible to design the upper bound of the settling time independent of the initial phase diameter. Moreover, the fixed-time global stability of the proposed method is guaranteed by the Lyapunov analysis. And we also prove that there is no Zeno behavior in the settling progress. Finally, numerical simulations validate the effectiveness and correctness of the proposed approach.