Finite time impulsive synchronization of fractional order memristive BAM neural networks

This paper is concerned with the finite time impulsive synchronization problem of fractional order memristive BAM neural networks (MBAMNNs) with switching jumps mismatch. By utilizing the properties of fractional calculus and comparison principle, a novel fractional order result about finite time impulsive stability is obtained. In the light of the double layer structure of fractional order MBAMNNs, two impulsive controllers are designed for the response fractional order MBAMNNs. By combing properties of Gamma functions and some analysis techniques of impulsive interval, several sufficient conditions are given which ensure finite time synchronization of fractional order MBAMNNs, and the upper bound of the setting time for synchronization is estimated, which is related to the fractional order of the system. Finally, numerical simulation is provided to demonstrate the effectiveness of the obtained results. (C) 2019 Elsevier B.V. All rights reserved.