Successive lag synchronization on complex dynamical networks via delay-dependent impulsive control

Abstract This paper studies the successive lag synchronization (SLS) on complex dynamical networks by using impulsive control method. For the purpose of achieving SLS of a general dynamical network, a novel impulsive control which depends on synchronization delay is designed. Furthermore, we also discuss the SLS of an impulsive dynamical network with communication delay. Based on stability theory of differential equations, several sufficient conditions for guaranteeing the stability of SLS are derived. Finally, for verifying the obtained theoretical results, three numerical examples are performed.