Fixed‐time/prescribed‐time synchronization control of quaternion‐valued memristive neural networks on time scales

Abstract This paper explores the fixed‐time/prescribed‐time synchronization of quaternion‐valued memristive neural networks (QVMNNs) on time scales. By applying the nonsmooth analysis and time scale theory, a novel theorem for fixed‐time/prescribed‐time synchronization of QVMNNs on time scales is derived simultaneously. The proposed results extend the dynamical analysis of QVNNs from the continuous‐time and discrete‐time case to time scale. The control strategy in this paper shows the superiority of less calculation and more precise prediction for settling time. Finally, simulations are designed to substantiate the validity of the theoretical results.