中国物理B ›› 2006, Vol. 15 ›› Issue (1): 95-99.doi: 10.1088/1009-1963/15/1/015

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La Shalle's invariant-set-theory based asymptotic synchronization of duffing system with unknown parameters

禹东川, 吴爱国   

  1. School of Electrical Engineering and Automation, Tianjin University,Tianjin 300072, China
  • 收稿日期:2005-05-10 修回日期:2005-06-23 出版日期:2006-01-20 发布日期:2006-01-20

La Shalle's invariant-set-theory based asymptotic synchronization of duffing system with unknown parameters

Yu Dong-Chuan (禹东川), Wu Ai-Guo (吴爱国)   

  1. School of Electrical Engineering and Automation, Tianjin University,Tianjin 300072, China
  • Received:2005-05-10 Revised:2005-06-23 Online:2006-01-20 Published:2006-01-20

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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.

关键词: chaotic synchronization, adaptive state observer, LaShalle's invariant set theory

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.

Key words: chaotic synchronization, adaptive state observer, La Shalle's invariant set theory

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
02.10.Ab (Logic and set theory) 05.45.Pq (Numerical simulations of chaotic systems)