On Predefined-time Synchronization of Complex-valued Neural Networks With Inertial Terms

This paper investigates the predefined-time synchronization of a specific type of inertial complex-valued neural networks (ICVNNs). By employing the reduced-order transformations and the methods for dividing the real part from the imaginary part, the ICVNNs are converted into first-order real-valued differential equations. Additionally, the analysis of predefined-time synchronization is presented on the basis of the Lyapunov function. Finally, simulation examples are included to elaborate the rationality and applicability of the obtained results.