Finite-time lag projective synchronization of delayed fractional-order quaternion-valued neural networks with parameter uncertainties

This paper discusses a class issue of finite-time lag projective synchronization (FTLPS) delayed fractional-order quaternion-valued neural networks (FOQVNNs) with parameter uncertainties, which is solved by non-decomposition method. Firstly, new FOQVNNs model uncertain parameters designed. Secondly, two types feedback controller and adaptive without sign functions are designed in the quaternion domain. Based on Lyapunov analysis method, method applied to replace decomposition that requires complex calculations, combined some inequality techniques, accurately estimate settling time FTLPS. Finally, correctness obtained theoretical results testified numerical simulation example.