Intermittent control with double event-driven for leader-following synchronization in complex networks

In this paper, an intermittent control scheme based on double event-driven is proposed to solve the leader-following synchronization of complex networks (CNs). In the method, the control intervals for CNs are determined by two event conditions. In addition, the continuous communication among neighbor nodes is also avoided as an event occurring only depends on the last sampling information from one's neighbors. Then, compared with existing results, the control scheme is more flexible and helpful for getting rid of the risk of CNs overload. Based on event-driven control approach and stability theory, several synchronization criteria for linear and nonlinear CNs are derived. Also, the rest interval upper bounds for asymptotic and exponential convergence case are obtained as well. Moreover, a synchronization algorithm for CNs via the intermittent control scheme with double event-driven is presented. Finally, two simulation examples are given to illustrate the effectiveness of the theoretical results.