This paper investigated the master-slave synchronization for uncertain neural networks with time-delay by using the sliding mode control method. The uncertain parts in this neural network only needs to be bounded other than any structure condition. An integral sliding mode surface and sliding mode controller were designed such that the state trajectories of the neural networks could reach the sliding mode surface in finite time. Moreover, the computing method of the controller gain was proposed. Finally, a numerical example was provided to show the effectiveness of the obtained results.

This paper investigates the master-slave synchronization of Lurie systems with time delay via the event-triggered control. Different from some state feedback control methods with a fixed sampling period or impulsive control with random sampling moments, the event-triggered control means that the controller is updated only if some event-triggering conditions are satisfied. A predefined triggering condition is provided by using the Lyapunov stability theory. Moreover, this condition is proved not to be commonplace. Finally, a numerical example is given to show the correctness of the proposed method.