Finite-time synchronization for fractional-order quaternion-valued coupled neural networks with saturated impulse

In this paper, the issue of finite-time synchronization (FTS) of fractional-order quaternion-valued coupled neural networks (FOQVCNNs) with saturated impulse was discussed. The impulsive effect was firstly applied to the FOQVCNNs, which was subjected to saturation. Therefore, the constructed FOQVNNs was more suitable for realistic life and had a wider range of applications. The synchronization criteria were extended to a less conservative form. In addition, FTS was considered with the purpose of having a faster convergence rate. Based on the fractional-order differential inequality, polytopic representation approach, Lyapunov function, and the concept of FTS, some synchronization criteria were obtained to accomplish the synchronization for the FOQVCNNs, which were expressed as some inequalities. Then, the settling time was bounded, which could be accurately predicted with ease. Lastly, the theoretical outcome was proved to be valid by a numerical example.