Bounded synchronization of coupled Kuramoto oscillators with phase lags via distributed impulsive control

In this paper, we study the synchronization of networked Kuramoto oscillators with phase lags. Distributed impulsive control strategies are developed to ensure the synchronization of coupled Kuramoto oscillators with phase lags. A sufficient condition is given to ensure bounded synchronization whose boundary can be sufficiently and arbitrary small. Especially, when oscillators are identical and phase lags are uniform, the exponential convergence criteria are derived. The proposed control strategies are valid for arbitrary distributions of phase lags with a boundary. Finally, numerical simulations are given to illustrate the effectiveness of the proposed control strategies.