| Synchronization of hyperchaotic Chen systems:a class of the adaptive control approach |
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| 作者姓名： | 魏伟 李东海 王京 |
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| 作者单位： | School of Information Engineering, University of Science and
Technology Beijing, Beijing 100083, China;State Key Lab of Power Systems, Department of Thermal
Engineering, Tsinghua University, Beijing 100084, China;School of Information Engineering, University of Science and
Technology Beijing, Beijing 100083, China |
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| 基金项目： | Project supported by the National
Basic Research Program of China (Grant No. 2007CB210106). |
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| 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.
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| 关 键 词： | hyperchaotic Chen systems adaptive synchronization cascade adaptive synchronization synchronous speed |
| 收稿时间： | 2009-11-12 |
Synchronization of hyperchaotic Chen systems: a class of the adaptive control approach |
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| Wei Wei,Li Dong-Hai and Wang Jing.Synchronization of hyperchaotic Chen systems:a class of the adaptive control approach[J].Chinese Physics B,2010,19(4):40507-040507. |
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| Authors: | Wei Wei Li Dong-Hai and Wang Jing |
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| Affiliation: | School of Information Engineering, University of Science and
Technology Beijing, Beijing 100083, China; State Key Lab of Power Systems, Department of Thermal
Engineering, Tsinghua University, Beijing 100084, China |
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| Abstract: | 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. |
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| Keywords: | hyperchaotic Chen systems adaptive synchronization cascade
adaptive synchronization synchronous speed |
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