Global O(t ) Synchronization of Multiple Fractional-order Neural Networks With Time Delay via Event-triggered Control

This article investigates the global O(t ) synchronization problem for multiple fractional-order neural networks (MFNNs) with time delay. By utilizing the unique properties of fractional-order calculus, namely hereditary and infinite memory, a new design scheme of the event-triggered non-Laplacian coupling control strategy is proposed. Compared with the Laplacian coupling matrix, non-Laplacian coupling matrix nondiagonal elements can be arbitrary and row sums can be same nonzero constant. With the introduced rules, by using a Razumikhin-type method, some less conservative sufficient conditions are derived to assure the global O(t ) synchronization of MFNNs with time delay. Furthermore, in order to prohibit Zeno behavior in the MFNNs with time delay, lower bounds of two consecutive events are also gathered. Finally, simulation results verify the validity of the analysis.