Adaptive synchronization and parameter identification of chaotic system with unknown parameters and multiple time-varying delays based on a special matrix structure

In this paper, we investigate the synchronization and parameter identification of chaotic system with unknown parameters and multiple time-varying delays. We apply a special matrix structure to designing the controller and the update rule of unknown parameters to realize synchronizing chaotic system and identifying the unknown parameters. Numerical simulations are carried out to confirm the effectiveness of the approach. The obvious advantage of this approach is that the designing process of the controller and the update rule becomes very clear and easy.