AUXILIARY ADAPTIVE MECHANISM IN CHAOS SYNCHRONIZATION: ESTIMATORS FOR LIPSCHITZ CONSTANT AND UPPER BOUND OF TIME-DELAY'S CHANGE RATE

Adaptive robust synchronization method is proposed for chaos synchronization of Lurie systems with time-varying delay. To weaken the restrictions on the change rate of time-varying delay in synchronization problems, adaptive estimations related to the derivative's upper bound of the time-varying delay are designed, so this upper bound can be unknown. The Lipschitz constant of the nonlinear link is also adaptively estimated, rather than being pre-calculated. Whole design is in the framework of robust control, and the synchronization can endure disturbance effectively. In addition, the synchronization of chaotic Lurie system with time-varying delay is realized as an example.