Li Zhi and Han Chong-Zhao 2002 Chinese Phys. 11 666 doi:10.1088/1009-1963/11/7/304
Li Zhi1,2 and Han Chong-Zhao2
Show affiliationsA novel adaptive synchronization method is proposed for two identical Rossler and Chen systems with uncertain parameters. Based on Lyapunov stability theory, we derive an adaptive controller without the knowledge of the system parameters, which can make the states of two identical Rossler and Chen systems globally asymptotically synchronized. Especially, when some unknown uncertain parameters are positive, we can make the controller more simple and, besides, the controller is independent of those positive uncertain parameters. All results are proved using a well-known Lyapunov stability theorem. Numerical simulations are given to validate the proposed synchronization approach.
05.45.Xt Synchronization; coupled oscillators
Issue 7 ( 1 July 2002)
Received 14 December 2001, in final form 4 February 2002
Li Zhi and Han Chong-Zhao 2002 Chinese Phys. 11 666
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