Synchronization of Kuramoto oscillators via fixed-time aperiodically intermittent control

In this paper, we focus on the issue of fixed-time synchronization for Kuramoto-oscillator networks. To reduce control costs, two effective aperiodically intermittent control protocols for both identical and nonidentical oscillators are proposed, which closely align with practical applications. By employing fixed-time stability theory, two criteria to ensure fixed-time synchronization are derived. Finally, theoretical results are validated through numerical examples.