Impulsive synchronization of complex dynamical networks via comparison principle

This paper focuses on the problem of impulsive synchronization of a class of complex dynamical networks. Based on impulsive control theory and a comparison theorem, generic criteria for complete synchronization are derived. It is shown that these criteria provide a novel and effective control approach to synchronize a general dynamical network to a synchronization manifold by exposing the relationship between impulsive synchronization, the impulsive intervals, and the graph topology. A numerical example is given to illustrate the results.