Fast synchronization of complex dynamical networks with time-varying delay via periodically intermittent control

• Fast synchronization between two complex networks is studied.
• Two types of periodically intermittent controller to guarantee the finite-time synchronization are obtained.
• A necessary condition of fast synchronization for periodically intermittent control is given.
• Numerical simulations are given to show the effectiveness of theoretical results.

The fast synchronization problem for a class of complex dynamical networks with time varying delay by means of periodically intermittent control is studied. Based on the finite-time stability theory and periodically intermittent control technique, some sufficient synchronization criteria are obtained to guarantee the fast synchronization. Furthermore, the essential condition for guaranteeing periodically intermittent control realized in finite time is given in this paper. Finally, two examples are illustrated to verify the proposed theoretical results.