Adaptive Generalized Function Projective Lag Synchronization of Time-Delay Systems with Uncertain Parameters

In this paper, we consider generalized function projective lag synchronization of time-delay systems using adaptive control methods, and system parameters are uncertain. By means of the Lyapunov stability theory, an adaptive controller and parameter update rule are designed for achieving generalized function projective lag synchronization between two time-delay systems and estimating all the unknown parameters. Some numerical simulations are provided to show the effectiveness of our results. The results are helpful to make the wireless sensor network safer, and speed up the application of wireless sensor network.