H∞ Chaos synchronization for nonlinear Bloch equations

Choon KiAhn

doi:10.3938/jkps.55.2295

H∞ Chaos synchronization for nonlinear Bloch equations

Choon KiAhn

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

3 Citations (Scopus)

Abstract

In this paper, we propose a new H∞ synchronization scheme for chaotic behavior in nonlinear Bloch equations with external disturbance. Based on the Lyapunov theory and the linear matrix inequality (LMI) approach, the H∞, synchronization controller is presented to not only guarantee stable synchronization but also reduce the effect of external disturbance to an H∞ norm constraint. The proposed controller can be obtained by solving a convex optimization problem represented by an LMI. A numerical example is given to demonstrate the effectiveness of the proposed synchronization scheme.

Original language	English
Pages (from-to)	L2295-L2300
Journal	Journal of the Korean Physical Society
Volume	55
Issue number	6
DOIs	https://doi.org/10.3938/jkps.55.2295
Publication status	Published - 2009 Dec
Externally published	Yes

Keywords

Chaotic behavior
H∞ synchronization
Linear matrix inequality (lmi)
Lyapunov theory
Nonlinear bloch equations

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.3938/jkps.55.2295

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abstract = "In this paper, we propose a new H∞ synchronization scheme for chaotic behavior in nonlinear Bloch equations with external disturbance. Based on the Lyapunov theory and the linear matrix inequality (LMI) approach, the H∞, synchronization controller is presented to not only guarantee stable synchronization but also reduce the effect of external disturbance to an H∞ norm constraint. The proposed controller can be obtained by solving a convex optimization problem represented by an LMI. A numerical example is given to demonstrate the effectiveness of the proposed synchronization scheme.",

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AB - In this paper, we propose a new H∞ synchronization scheme for chaotic behavior in nonlinear Bloch equations with external disturbance. Based on the Lyapunov theory and the linear matrix inequality (LMI) approach, the H∞, synchronization controller is presented to not only guarantee stable synchronization but also reduce the effect of external disturbance to an H∞ norm constraint. The proposed controller can be obtained by solving a convex optimization problem represented by an LMI. A numerical example is given to demonstrate the effectiveness of the proposed synchronization scheme.

KW - Chaotic behavior

KW - H∞ synchronization

KW - Linear matrix inequality (lmi)

KW - Lyapunov theory

KW - Nonlinear bloch equations

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JF - Journal of the Korean Physical Society

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H∞ Chaos synchronization for nonlinear Bloch equations

Abstract

Keywords

ASJC Scopus subject areas

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