Global synchronization between two fractional-order complex networks with non-delayed and delayed coupling via hybrid impulsive control

This paper focuses on the global synchronization problem for two fractional-order complex networks with non-delayed and delayed coupling (FCNNDC) by using hybrid impulsive control strategy. First, a fractional-order comparison principle is established firstly. Based on our proposed comparison principle and combining algebraic graph theory and laplace transform as well as mathematical induction, some novel synchronization criteria revealing the interplay among the impulsive gain, impulsive interval, networks' topology structure and fractional order, are derived to guarantee the global synchronization of FCNNDC. Finally, some numerical results are presented to illustrate the effectiveness of the theoretical results. (C) 2019 Elsevier B.V. All rights reserved.