Adaptive synchronization for generalized Lorenz systems

Xiyin Liang, Jiangfeng Zhang, Xiaohua Xia

Research output: Contribution to journalArticle

35 Citations (Scopus)

Abstract

In literature it is conjectured that the states of the generalized Lorenz system with an unknown parameter can not be estimated by adaptive observers. In this paper we show that this unknown parameter and the states can actually be estimated simultaneously by some kind of adaptive observer. The proof is obtained by constructing some exponential observer to achieve chaotic synchronization for the generalized Lorenz system. The result implies that more work needs to be done to apply generalized Lorenz system in secure communication.
Original languageEnglish
Pages (from-to)1740-1746
Number of pages7
JournalIEEE Transactions on Automatic Control
Volume53
Issue number7
DOIs
Publication statusPublished - Aug 2008

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Synchronization
Secure communication

Keywords

  • adaptive synchronization
  • generalized Lorenz systems
  • adaptive observers

Cite this

Liang, Xiyin ; Zhang, Jiangfeng ; Xia, Xiaohua. / Adaptive synchronization for generalized Lorenz systems. In: IEEE Transactions on Automatic Control. 2008 ; Vol. 53, No. 7. pp. 1740-1746.
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Adaptive synchronization for generalized Lorenz systems. / Liang, Xiyin; Zhang, Jiangfeng; Xia, Xiaohua.

In: IEEE Transactions on Automatic Control, Vol. 53, No. 7, 08.2008, p. 1740-1746.

Research output: Contribution to journalArticle

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AU - Xia, Xiaohua

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AB - In literature it is conjectured that the states of the generalized Lorenz system with an unknown parameter can not be estimated by adaptive observers. In this paper we show that this unknown parameter and the states can actually be estimated simultaneously by some kind of adaptive observer. The proof is obtained by constructing some exponential observer to achieve chaotic synchronization for the generalized Lorenz system. The result implies that more work needs to be done to apply generalized Lorenz system in secure communication.

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