Multisynchronization of Delayed Fractional-Order Neural Networks via Average Impulsive Interval

Abstract

This paper focuses on the multisynchronization problem of delayed fractional-order neural networks with uncertain parameters. Firstly, partition space method is used to determine that each subnetwork of fractional-order neural networks has n j=1 (Kj + 1) locally Mittag-Leffler stable periodic orbits or equilibrium points. Secondly, a universal impulsive controller based on average impulsive interval is proposed to impose on each node except the last one, then sufficient conditions for the dynamical and static multisynchronization of whole systems are given. In addition, it is also proved that the results are compatible for the integer-order networks. Finally, two numerical examples are given to illustrate the correctness of the theoretical results.