文档介绍：munication via adaptive synchronization between two different chaotic systems with uncertainties Meili Lin, Jianping Cai Synchronization between two different chaotic systems with disturbance and unknown parameters is investigated. Base on Lyapunov stability theory, an adaptive controller and parameters update laws are designed to synchronize coupled chaotic systems as transmitter and receiver respectively even though the bounds on disturbance and parameters are unknown. Information signals hidden in the transmitter can be recovered exactly at the receiver. Numerical simulation results verify the effectiveness of the method. Keywords : munication; chaos synchronization; adaptive control; different chaotic systems AMS Subject Classification: 93C40, 94A05 1. Introduction Synchronization in chaotic dynamic systems has attracted increasing attention of scientists from various research fields for its advantages in practical applications[1]. A wide variety of methods have been proposed for synchronization of chaotic systems, including linear control[2,3], replacing variables control[4], sinusoidal feedback control [5] , adaptive control[6,7] and so on. Chaos synchronization has been widely investigated for applications in munication. The idea is described as follows. Firstly, the information signal is added toa much stronger chaotic signal in order to hide information in transmitter. Secondly, the generated chaotic signal containing the information is transmitted to receiver. Finally, information signal can be recovered exactly if synchronization achieves between the transmitter and receiver under certain conditions. Chaotic systems can be used in signal transmission in various ways[8-18]. By using Kalman filtering technology, a general synchronization method was proposed for a class of nonlinear chaotic systems with uncertain parameters and nonlinear transmitted signals[8]. Feedback control associated with the update law was employed to synchronize coupled chaotic system