Adaptive–impulsive synchronization of chaotic systems

In this paper, we investigate nonlinear adaptive–impulsive synchronization of chaotic systems. The core of adaptive–impulsive synchronization of chaotic systems is to design suitable nonlinear adaptive–impulsive controllers to attain certain aims. Based on invariant principle of impulsive dynamical systems, nonlinear adaptive–impulsive controllers are derived to make the state of chaotic systems synchronized. Accordingly, concrete nonlinear adaptive–impulsive control scheme is designed for quantum cellular neural network (Quantum-CNN). Moreover, numerical simulations are presented to illustrate the effectiveness of the proposed nonlinear controllers, which is more effective than that in the previous literature.