Adaptive synchronization for generalized Lorenz systems

Xiyin Liang; Jiangfeng Zhang; Xiaohua Xia

doi:10.1109/TAC.2008.928318

Adaptive synchronization for generalized Lorenz systems

Xiyin Liang, Jiangfeng Zhang, Xiaohua Xia

Electronic And Electrical Engineering

Research output: Contribution to journal › Article › peer-review

37 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 language	English
Pages (from-to)	1740-1746
Number of pages	7
Journal	IEEE Transactions on Automatic Control
Volume	53
Issue number	7
DOIs	https://doi.org/10.1109/TAC.2008.928318
Publication status	Published - Aug 2008

Keywords

adaptive synchronization
generalized Lorenz systems
adaptive observers

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title = "Adaptive synchronization for generalized Lorenz systems",

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.",

keywords = "adaptive synchronization, generalized Lorenz systems, adaptive observers",

author = "Xiyin Liang and Jiangfeng Zhang and Xiaohua Xia",

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T1 - Adaptive synchronization for generalized Lorenz systems

AU - Liang, Xiyin

AU - Zhang, Jiangfeng

AU - Xia, Xiaohua

PY - 2008/8

Y1 - 2008/8

N2 - 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.

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.

KW - adaptive synchronization

KW - generalized Lorenz systems

KW - adaptive observers

U2 - 10.1109/TAC.2008.928318

DO - 10.1109/TAC.2008.928318

M3 - Article

VL - 53

SP - 1740

EP - 1746

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 7

ER -