| La Shalle＇s invariant-set-theory based asymptotic synchronization of duffing system with unknown parameters |
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| 引用本文： | 禹东川,吴爱国.La Shalle＇s invariant-set-theory based asymptotic synchronization of duffing system with unknown parameters[J].中国物理 B,2006,15(1):95-99. |
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| 作者姓名： | 禹东川 吴爱国 |
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| 作者单位： | School of Electrical Engineering and Automation, Tianjin University,Tianjin 300072, China |
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| 摘 要： | A novel La Shalle's invariant set theory (LSIST) based adaptive asymptotic
synchronization (LSISAAS) method is proposed to asymptotically synchronize
Duffing system with unknown parameters which also are considered as system
states. The LSISASS strategy depends on the only information, i.e. one state of
the master system. According to the LSIST, the LSISASS method can
asymptotically synchronize fully the states of the master system and the unknown
system parameters as well. Simulation results also validate that the LSISAAS
approach can obtain asymptotic synchronization.
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| 关 键 词： | chaotic synchronization adaptive state observer LaShalle's invariant set theory |
| 收稿时间： | 2005-05-10 |
| 修稿时间： | 2005-05-102005-06-23 |
La Shalle's invariant-set-theory based asymptotic synchronization of duffing system with unknown parameters |
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| Yu Dong-Chuan and Wu Ai-Guo.La Shalle's invariant-set-theory based asymptotic synchronization of duffing system with unknown parameters[J].Chinese Physics B,2006,15(1):95-99. |
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| Authors: | Yu Dong-Chuan and Wu Ai-Guo |
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| Institution: | School of Electrical Engineering and Automation, Tianjin University,Tianjin 300072, China |
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| Abstract: | A novel La Shalle's invariant set theory (LSIST) based adaptive asymptotic
synchronization (LSISAAS) method is proposed to asymptotically synchronize
Duffing system with unknown parameters which also are considered as system
states. The LSISASS strategy depends on the only information, i.e. one state of
the master system. According to the LSIST, the LSISASS method can
asymptotically synchronize fully the states of the master system and the unknown
system parameters as well. Simulation results also validate that the LSISAAS
approach can obtain asymptotic synchronization. |
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| Keywords: | chaotic synchronization adaptive state observer La
Shalle's invariant set theory |
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