Finite-Time Synchronization of Fractional-Order Quaternion-Valued Neural Networks under Aperiodically Intermittent Control: A Non-Separation Method

This article mainly focuses on investigating finite-time synchronization(FTS) of fractional-order quaternionvalued neural networks(FOQVNNs) with time-varying delay via aperiodically intermittent control. Firstly, a new group of fractional differential inequalities during aperiodically intermittent times is proposed, which provides a formula for calculating stable time \(t̃\) related to a parameter \(\) about aperiodically intermittent control strategy. It can make the stable time \(t̃\) even shorter than that of many existing literature results. Secondly, the theoretical analysis of the entire paper is conducted in a nonseparable method, and a quaternion-valued aperiodically intermittent controller based on 1-norm is directly designed to ensure the synchronization of FOQVNNs. By constructing a suitable Lyapunov function, the FTS criterion is derived. Finally, the validity of the proposed theoretical results is confirmed by numerical simulations.