Adaptive–impulsive synchronization and parameters estimation of chaotic systems with unknown parameters by using discontinuous drive signals

In this paper, adaptive–impulsive synchronization and parameters estimation of chaotic systems only by using discontinuous drive signals are investigated. In the scheme proposed both the impulsive synchronization controller and the adaptive parameters update law are modeled only by using discontinuous output of the chaotic system. The corresponding theoretical proof is given to guarantee the effectiveness of the proposed strategy. This is meaningful in applications when continuous signals cannot be obtained. Moreover, concrete schemes are designed for quantum cellular neural network (Quantum-CNN) and well known Chen chaotic system. Results show that synchronization and the parameters estimation can be achieved under some conditions. The numerical simulations are presented to demonstrate the effectiveness of the proposed scheme.