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Chin. Phys. B, 2010, Vol. 19(6): 060505    DOI: 10.1088/1674-1056/19/6/060505
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Adaptive synchronization of a hyperchaotic Lü system based on extended passive control

Fu Gui-Yuan(傅桂元) and Li Zhong-Shen(李钟慎)
College of Mechanical Engineering and Automation, Huaqiao University, Quanzhou 362021, China
Abstract  This paper investigates the adaptive synchronization of hyperchaotic Lü systems based on the method of extended passive control. By combining the feedback control, the extended passive control method with two output variables is developed, which can synchronize hyperchaotic Lü systems asymptotically and globally more easily without knowing the bound of state of the hyperchaotic system. Adaptive laws are introduced to estimate the unknown parameters as well. Simulation results show the effectiveness and flexibility of the proposed control scheme.
Keywords:  hyperchaotic Lü system      synchronization      extended passive control      adaptive control  
Received:  20 October 2009      Accepted manuscript online: 
PACS:  05.45.Gg (Control of chaos, applications of chaos)  
  07.05.Dz (Control systems)  
  05.45.Xt (Synchronization; coupled oscillators)  
Fund: Project supported by the Natural Science Foundation of Fujian Province, China (Grant No.~E0710018).

Cite this article: 

Fu Gui-Yuan(傅桂元) and Li Zhong-Shen(李钟慎) Adaptive synchronization of a hyperchaotic Lü system based on extended passive control 2010 Chin. Phys. B 19 060505

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