Global Mittag-Leffler Synchronization Fractional Complex Value Neural Networks

This paper introduces the use of the separation method to solve the fractional complex-valued time-varying delay neural network. The number domain is divided into the real number domain and complex-valued domain, and the Lyapunov direct method is used to study it so that the drive-response system can achieve global Mittag-Leffler synchronization under a suitable controller. It is particularly emphasized that the controller adopts an adaptive control scheme, and then by constructing an appropriate Lyapunov function proof, and then using theoretical analysis, such as fractional-differential inequality, Li's rule, etc. Sufficient criteria for global Mittag-Leffler synchronization are available, as well as some sophisticated analysis techniques. Eventually, numerical simulation is used, and then the simulation is carried out. By simulating its behavior, it is proved that our theoretical analysis and results are correct.