Asymptotically Stable Quaternion-valued Hopfield-structured Neural Network with Periodic Projection-based Supervised Learning Rules

Researchers propose a quaternion-valued supervised learning Hopfield neural network (QSHNN) that leverages quaternions' geometric advantages for representing rotations and postures. The model introduces periodic projection-based learning rules to maintain quaternionic consistency while achieving high accuracy and fast convergence, with potential applications in robotics and control systems.