Synchronization of hyperchaotic Chen systems:a class of the adaptive control approach  

作　　者：魏伟 李东海 王京 

机构地区：[1]School of Information Engineering,University of Science and Technology Beijing [2]State Key Lab of Power Systems,Department of Thermal Engineering,Tsinghua University

出　　处：《Chinese Physics B》2010年第4期117-127,共11页中国物理B（英文版）

基　　金：Project supported by the National Basic Research Program of China (Grant No. 2007CB210106)

摘　　要：The synchronization of hyperchaotic Chen systems is considered. An adaptive synchronization approach and a cascade adaptive synchronization approach are presented to synchronize a drive system and a response system. By utilizing an adaptive controller based on the dynamic compensation mechanism, exact knowledge of the systems is not necessarily required, and the synchronous speed is controllable by tuning the controller parameters. Sufficient conditions for the asymptotic stability of the two synchronization schemes are derived. Numerical simulation results demonstrate that the adaptive synchronization scheme with four control inputs and the cascade adaptive synchronization scheme with only one control signal are effective and feasible in chaos synchronization of hyperchaotic systems.The synchronization of hyperchaotic Chen systems is considered. An adaptive synchronization approach and a cascade adaptive synchronization approach are presented to synchronize a drive system and a response system. By utilizing an adaptive controller based on the dynamic compensation mechanism, exact knowledge of the systems is not necessarily required, and the synchronous speed is controllable by tuning the controller parameters. Sufficient conditions for the asymptotic stability of the two synchronization schemes are derived. Numerical simulation results demonstrate that the adaptive synchronization scheme with four control inputs and the cascade adaptive synchronization scheme with only one control signal are effective and feasible in chaos synchronization of hyperchaotic systems.

关 键 词：hyperchaotic Chen systems adaptive synchronization cascade adaptive synchronization synchronous speed 

分 类 号：O415.5[理学—理论物理] O231[理学—物理]