A note on synchronization between two different chaotic systems

作者:Park Ju H*
来源:Chaos Solitons & Fractals, 2009, 40(3): 1538-1544.
DOI:10.1016/j.chaos.2007.09.038

摘要

In this paper, a new control method based on the Lyapunov method and linear matrix inequality framework is proposed to design a stabilizing controller for synchronizing two different chaotic systems. The feedback controller is consisted of two parts: linear dynamic control law and nonlinear control one. By this control law, the exponential stability for synchronization between two different chaotic systems is guaranteed. As applications of proposed method, synchronization problem between Genesio-Tesi system and Chen system has been investigated, and then the similar approach is applied to the synchronization problem between Rossler system and Lorenz system.

  • 出版日期2009-5-15