Exponential synchronization of complex dynamical systems with delay and derivative coupling via impulse

In this paper, the problem of impulsive synchronization of a kind of generalized complex dynamical systems with delay and derivative coupling is investigated. Both the communication delay and derivative coupling, which provide more information about the complex dynamical systems, are considered. Based on a new Lyapunov function and impulsive stability technique that is used to play an important role for the synchronization problem in our research, some new delay-dependent synchronization criteria are proposed. Furthermore, one can find that the considered complex systems are suitable to investigate and simulate realistic complex systems such as networked multi-agent systems. And numerical simulations for two networked systems with six agents are shown to illustrate the effectiveness of our results.