Estimation of unknown parameters and adaptive anti-synchronization of quadratic autonomous chaos systems via a scale controller

Di Liu; Wei Xu; Pei Rong Guo; Fei Ni

Estimation of unknown parameters and adaptive anti-synchronization of quadratic autonomous chaos systems via a scale controller

Di Liu, Wei Xu, Pei Rong Guo, Fei Ni

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

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

4 Scopus citations

Abstract

Based on Lyapunov stability theory, a simple adaptive scalar controller was designed to realize the anti-synchronization of 3-D quadratic autonomous systems with known or unknown parameters. Furthermore, all the unknown parameters can be estimated dynamically from the time series of the drive and response systems. Numerical simulations show the effectiveness and feasibility of the proposed method.

Original language	English
Pages (from-to)	5934-5939
Number of pages	6
Journal	Wuli Xuebao/Acta Physica Sinica
Volume	59
Issue number	9
State	Published - Sep 2010

Keywords

3-D quadratic autonomous chaos systems
Anti-synchronization
Lyapunov function
Scalar controller

Cite this

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title = "Estimation of unknown parameters and adaptive anti-synchronization of quadratic autonomous chaos systems via a scale controller",

abstract = "Based on Lyapunov stability theory, a simple adaptive scalar controller was designed to realize the anti-synchronization of 3-D quadratic autonomous systems with known or unknown parameters. Furthermore, all the unknown parameters can be estimated dynamically from the time series of the drive and response systems. Numerical simulations show the effectiveness and feasibility of the proposed method.",

keywords = "3-D quadratic autonomous chaos systems, Anti-synchronization, Lyapunov function, Scalar controller",

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AU - Xu, Wei

AU - Guo, Pei Rong

AU - Ni, Fei

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N2 - Based on Lyapunov stability theory, a simple adaptive scalar controller was designed to realize the anti-synchronization of 3-D quadratic autonomous systems with known or unknown parameters. Furthermore, all the unknown parameters can be estimated dynamically from the time series of the drive and response systems. Numerical simulations show the effectiveness and feasibility of the proposed method.

AB - Based on Lyapunov stability theory, a simple adaptive scalar controller was designed to realize the anti-synchronization of 3-D quadratic autonomous systems with known or unknown parameters. Furthermore, all the unknown parameters can be estimated dynamically from the time series of the drive and response systems. Numerical simulations show the effectiveness and feasibility of the proposed method.

KW - 3-D quadratic autonomous chaos systems

KW - Anti-synchronization

KW - Lyapunov function

KW - Scalar controller

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Estimation of unknown parameters and adaptive anti-synchronization of quadratic autonomous chaos systems via a scale controller

Abstract

Keywords

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