Fixed-time synchronization of kuramoto-oscillator networks with a simpler non-chattering controller

Abstract In this paper, Kuramoto-oscillator networks with identical and non-identical oscillators are studied in terms of fixed-time phase agreement and frequency synchronization. Different from traditional fixed-time controllers, we propose a simpler non-chattering controller that does not contain a sign function to overcome the chattering phenomenon. Additionally, the controller does not include a linear part, enhancing simplicity and practical convenience. The upper time bound of synchronization is estimated, and sufficient conditions for realizing fixed-time synchronization are derived using stability theory. Simulation results show the validity and correctness of our theoretical analyses. Finally, we examine the influence of control parameters on synchronization time.