Fixed/prescribed-time synchronization of quaternion-valued fuzzy BAM neural networks under aperiodic intermittent pinning control: A non-separation approach

This article concerns the fixed-time (FET) and prescribed-time (PET) synchronization of quaternion-valued fuzzy BAM neural networks via aperiodic intermittent pinning control. First of all, two improved inequalities for FET and PET stability are proposed to reduce the conservatism of existing results in theoretical analysis. Subsequently, by excluding the control input of the rest interval in previous semi-intermittent design, two novel quaternion-valued aperiodic intermittent pinning controllers are developed. Furthermore, regarding the original quaternion-valued networks as an entirety instead of decomposing it into four real-valued subnetworks, several sufficient criteria that ensure the FET and PET synchronization of quaternion-valued fuzzy BAM neural networks are obtained by means of the improved stability inequalities and the designed controllers. Finally, the validity of the theoretical results is verified by three numerical examples.