Global Exponential Synchronization of Quaternion-Valued Neural Networks via Quantized Control

In this paper, quantized controllers are designed to implement global exponential synchronization of quaternion-valued neural networks. Firstly, based on Hamilton’s principle, the quaternion-valued neural networks are decomposed into four equivalent real-valued neural networks. Then, utilizing the principles of Lyapunov stability and matrix inequality theory, the drive-response synchronization method is utilized to obtain the result on exponential synchronization of quaternion-valued neural networks. Finally, the effectiveness of the proposed method is verified by numerical simulation examples.