Synchronization of Colored Networks via Discrete Control

We investigate the synchronization problem of two colored networks via discrete control based on the Lyapunov stability theory. First, intermittent control is adopted to synchronize two edge-colored networks, and the sufficient condition connecting the control width, control period and the network topology is established for reaching synchronization. Then, an impulsive controller is designed to ensure two general colored networks in synchronization, and the relation among the impulsive interval, impulsive gain and the network topology for synchronization is also discovered. Finally, two numerical examples are provided to demonstrate and verify the theoretical results.