Finite-time synchronization of Heterogeneous Fractional-order Multiple Neural Networks with Impulsive Disturbance Via Hybrid Control

In this paper, the finite-time synchronization problem of heterogeneous fractional-order multiple neural networks with impulsive disturbance is investigated. By considering the impact of impulsive disturbance on the fractional-order multiple neural networks, the new hybrid control is designed, which consists of finite-time synchronization control and impulsive control. Then, based on fractional-order Lyapunov theory and inequality techniques, the finite-time synchronization criteria are proposed for synchronizing impulses and desynchronizing impulses. Meanwhile, the upper time for the achieving synchronization, which relies on the initial state and the impulsive number, is effectively estimated. Finally, a simulation example is given to verify the proposed theoretical results.