Predefined-Time Synchronization of Neural Networks with Time-Varying Delays via Sliding Mode Control

In this paper, the predefined-time synchronization problem of neural networks with time-varying delays is studied via sliding mode control. A new sliding mode controller is designed, and the predefined-time stability of the neural networks both the sliding phase and the arrival phase is proved by using the Lyapunov stability theory and the predefined-time stability theo-rem. Exponential terms in predefined-time stabilization speed up system convergence and the inclusion of adjustable parameters enhances the flexibility of system. A numerical simulation is used to illustrate effectiveness of the proposed methods.