Event-triggered impulsive chaotic synchronization of fractional-order differential systems

Abstract The synchronization of fractional-order differential chaotic systems is investigated via event-triggered impulsive control(EIC), where the benefits of impulsive control and event-triggered control are adopted. The impulsive sequence is defined by certain triggering function and triggering condition, which are dependent on the states of master and slave systems. The controller is only updated at impulsive instants. As the update frequency of the controller is reduced, the consumption of communication bandwidth and computing resources by the controller can be further reduced. Furthermore, Zeno-behavior of impulsive sequence is excluded. Finally, the validity of the theoretical results is shown by a numerical example with simulation.