Stochastic Finite-Time Synchronization of Kuramoto-Oscillator Networks

This paper addresses the problem of stochastic finite-time(SFT) phase agreement(PA) and frequency synchronization(FS) of Kuramoto model with identical and non-identical oscillators, respectively. The effect of stochastic noisy perturbation on the process of finite-time convergence is investigated due to its ubiquity. Furthermore, this investigation picks the smooth control protocol, which does not contain the signum function anymore. By utilizing the finite-time stochastic stability theory, several criteria are derived successively for ensuring the SFT PA and FS of Kuramoto model, and the upper bound time estimation(UBTE) of synchronization is given. Finally, simulation results not only validate the correction of theoretical analysis, but also indicate that PA is more robust to stochastic disturbance, whereas FS of Kuramoto-oscillator networks is relatively sensitive.