Global Mittag-Leffler projective synchronization of nonidentical fractional-order neural networks with delay via sliding mode control

Global Mittag-Leffler projective synchronization for nonidentical delayed fractional-order neural networks based on the technique of delayed sliding mode control is addressed in this paper. Firstly, a delayed fractional-order integral sliding surface is constructed. Then, based on the theory of sliding mode control, a delayed sliding mode controller is designed to ensure the occurrence of sliding motion. Furthermore, based on the fractional Lyapunov direct method and Razumikhin technique, states are converged to the prescribed sliding surface to carry out sliding motion, and some sufficient conditions are derived to realize global Mittag-Leffler projective synchronization of the addressed model. Secondly, as two special cases, complete synchronization and anti-synchronization of the addressed model are investigated. Finally, numerical simulations are presented to illustrate the feasibility and effectiveness of the achieved results.