Finite-Time Global Mittag-Leffler Projective Synchronization of Uncertain Fractional-Order Delayed Neural Networks with Heterogeneous Fractional Orders via Integral Sliding Mode Control

This paper addresses the finite-time global Mittag-Leffler projective synchronization problem for a class of uncertain fractional-order delayed neural networks with heterogeneous fractional orders, parameter uncertainties, and multiple time delays. A novel integral sliding mode control approach is developed by designing a delayed integral sliding manifold and an appropriate robust reaching law, such that the synchronization error trajectories are driven to the sliding surface within finite time. Furthermore, sufficient algebraic conditions are established to guarantee the global Mittag-Leffler stability of the reduced-order error dynamics on the sliding manifold. Under the proposed control scheme, finite-time projective synchronization is achieved in the presence of heterogeneous fractional orders, uncertain parameters, time delays, and nonlinear coupling effects. Finally, a numerical example is provided to demonstrate the validity and effectiveness of the proposed theoretical results.