Intermittent Control for Fixed-Time Synchronization of Coupled Networks

Dear Editor, This letter deals with fixed-time synchronization (Fd-TS) of complex networks (CNs) under aperiodically intermittent control (AIC) for the first time. The average control rate and a new Lyapunov function are proposed to overcome the difficulty of dealing with fixed-time stability/synchronization of CNs for AIC. Based on the Lyapunov and graph-theoretical methods, a Fd-TS criterion of CNs is given. Moreover, the method of this letter is also applicable to the study of finite-time synchronization of CNs for AIC. Finally, the theoretical results are applied to study the Fd-TS of oscillator systems, and simulation results are given to verify the effectiveness of the results.