Fixed/Preassigned-time synchronization of high-dimension-valued fuzzy neural networks with time-varying delays via nonseparation approach

For the high-dimension-valued fuzzy neural networks (HDVFNNs) models with time-varying delays, the fixed/preassigned-time synchronization is explored deeply in this paper. Instead of the separation approach, a direct method in complex field or quaternion skew field is fully utilized, which is suitable for a wider range. Furthermore, two fuzzy controllers without sign function based on the direct method are designed, which can effectively avoid the frequent switching and chattering phenomena involved by sign functions. Then, we derive two sufficient conditions to realize the desired the fixed/preassigned-time synchronization of the addressed HDVFNNs. Finally, the availability of notional researches has been testified by two numerical simulations.