Global Mittag-Leffler Synchronization of Coupled Delayed Fractional Reaction-Diffusion Cohen-Grossberg Neural Networks via Sliding Mode Control
摘要
This chapter studies the sliding mode control method for coupled delayed fractional reaction-diffusion Cohen-Grossberg neural networks on a directed non-strongly connected topology. A novel fractional integral sliding mode surface and the corresponding control law are designed to realize the global Mittag-Leffler synchronization. The sufficient conditions for synchronization and the reachability of the sliding mode surface are derived via hierarchical and the Lyapunov method. Finally, simulations are given to verify our theoretical findings.