Prescribed‐Time/Fixed‐Time Synchronization of Quaternion‐Valued Neural Networks: A Method Without Decomposition
Binzi Yin, Shiguo Peng · Mathematical Methods in the Applied Sciences · 2025
ABSTRACT In this paper, a novel control law is designed for achieving prescribed‐time (PAT) and fixed‐time (FXT) synchronization of quaternion‐valued neural networks (QVNNs) with time‐varying delays. Compared with some existing methods, the designed controller can realize the PAT and FXT synchronization simultaneously; that is, the PAT converge rate can be guaranteed without prior research on FXT control. Moreover, ensuring the PAT and FXT synchronization, the controller can be consistent under 1‐ or 2‐norm, while the decomposition technique is not required here. Finally, some numerical examples are given to illustrate the feasibility of our proposed control strategy.