Abstract A technical framework of constructing a linear controller for chaotic synchronization by utilizing the stability theory of cascade-connected system is presented. Based on the method developed in the paper, two simple and linear feedback controllers, as examples, are derived for the synchronization of Liu chaotic system and Duffing oscillator, respectively. This method is quite flexible in constructing a control law. Its effectiveness is also illustrated by the simulation results.
Received: 14 August 2006
Revised: 28 August 2006
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 60274032) and the Science and Technology Rising-Star Program of Shanghai (Grant No 04QMH1405).
Cite this article:
Chen Feng-Xiang(陈凤祥) and Zhang Wei-Dong(张卫东) Chaotic synchronization via linear controller 2007 Chinese Physics 16 937
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