Adaptive control and synchronization of identical new chaotic flows with unknown parameters via single input

作者：Yang Chi Ching^*

来源：Applied Mathematics and Computation, 2010, 216(4): 1316-1324.

DOI：10.1016/j.amc.2010.02.026

• Single input
• Synchronization via single input
• Adaptive synchronization with single input
• Lyapunov stability theory

The single input linear feedback control for synchronizing two identical new 3D chaotic flows reported by Li et al. [X.F. Li, K. E. Chlouverakis, D. L. Xu, Nonlinear dynamics and circuit realization of a new chaotic flow: a variant of Lorenz, Chen and Lu, Nonlinear Analysis RWA 10 (4) (2009) 2357-2368] is proposed in this paper. Sufficient conditions of synchronization are obtained for both linear feedback and adaptive control approaches. The problem of adaptive synchronization between two nearly identical chaotic systems with unknown parameters is also studied. Based on the Lyapunov stability theory, two kinds of single input adaptive synchronization controllers are designed and the adaptive parameter update laws are developed.

• 出版日期2010-4-15