| Backstepping synchronization of uncertain chaotic systems by a single driving variable |
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| 引用本文： | 吕 翎,张庆灵,郭治安. Backstepping synchronization of uncertain chaotic systems by a single driving variable[J]. 中国物理 B, 2008, 17(2): 498-502 |
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| 作者姓名： | 吕 翎 张庆灵 郭治安 |
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| 作者单位： | Institute of System Science, NortheasternUniversity, Shenyang110004, China;College of Physics and Electronic Technology, LiaoningNormalUniversity, Dalian 116029, China;Institute of System Science, NortheasternUniversity, Shenyang110004, China;Department of Mathematics and Physics, Dalian JiaotongUniversity, Dalian 116028, China |
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| 基金项目： | Project supported by the NationalNatural Science Foundation of China (Grant No 60574011). |
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| 摘 要： | In this paper a parameter observer and a synchronization controller are designed to synchronize unknown chaotic systems with diverse structures. Based on stability theory the structures of the observer and the controller are presented. The unknown Coullet system and Rossler system are taken for examples to demonstrate that the method is effective and feasible. The artificial simulation results show that global synchronization between the unknown Coullet system and the Rossler system can be achieved by a single driving variable with co-operation of the observer and the controller, and all parameters of the Coullet system can be identified at the same time.
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| 关 键 词： | 后步进同步化 参数证认 Rossler系统 变量 |
| 收稿时间： | 2007-01-16 |
| 修稿时间： | 2007-05-21 |
Backstepping synchronization of uncertain chaotic systems by a single driving variable |
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| L"{u} Ling,Zhang Qing-Ling and Guo Zhi-An. Backstepping synchronization of uncertain chaotic systems by a single driving variable[J]. Chinese Physics B, 2008, 17(2): 498-502 |
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| Authors: | L" {u} Ling,Zhang Qing-Ling Guo Zhi-An |
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| Affiliation: | Department of Mathematics and Physics, Dalian JiaotongUniversity, Dalian 116028, China; Institute of System Science, NortheasternUniversity, Shenyang110004, China; Institute of System Science, NortheasternUniversity, Shenyang110004, China;College of Physics and Electronic Technology, LiaoningNormalUniversity, Dalian 116029, China |
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| Abstract: | In this paper a parameter observer and a synchronization controllerare designed to synchronize unknown chaotic systems with diversestructures. Based on stability theory the structures of the observerand the controller are presented. The unknown Coullet system andRossler system are taken for examples to demonstrate that the methodis effective and feasible. The artificial simulation results showthat global synchronization between the unknown Coullet system andthe Rossler system can be achieved by a single driving variable withco-operation of the observer and the controller, and all parametersof the Coullet system can be identified at the same time. |
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| Keywords: | backstepping synchronization parameter identification uncertain Coullet system Rosslersystem |
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