Generalized projective synchronization of chaotic systems viaadaptive learning control

• Published in: Chinese physics B no. 2; pp. 119 - 126
• Main Author: 孙云平 李俊民 王江安 王辉林
• Format: Journal Article
• Language: English
• Published: 2010
• Subjects: Lorenz系统; Lyapunov; 学习控制; 投影同步; 混沌系统; 稳定性理论; 自适应学习
• ISSN: 1674-1056; 2058-3834

In this paper, a learning control approach is applied to the generalized projective synchronisation （GPS） of different chaotic systems with unknown periodically time-varying parameters. Using the Lyapunov--Krasovskii functional stability theory, a differential-difference mixed parametric learning law and an adaptive learning control law are constructed to make the states of two different chaotic systems asymptotically synchronised. The scheme is successfully applied to the generalized projective synchronisation between the Lorenz system and Chen system. Moreover, numerical simulations results are used to verify the effectiveness of the proposed scheme.