Adaptive uncertain scaling function projective synchronization of uncertain chaotic systems with chaos disturbances

This paper investigates adaptive uncertain scaling function projective synchronization of uncertain chaotic systems with chaos disturbances. In comparison with those of the existing scaling function projective synchronization and chaos synchronization with disturbances, we assume that the given scaling function and the given disturbances function can be a chaotic attractor, moreover, the parameters of the uncertain scaling function are also estimated. Based on LaSalle's invariance set principle, the adaptive control law is derived to make the state of two chaotic systems synchronized. Some numerical are also given to show the effectiveness of the proposed method.