Chaos synchronization of nonlinear bloch equations based on input-to-state stable control

Choon Ki Ahn

doi:10.1088/0253-6102/53/2/20

Chaos synchronization of nonlinear bloch equations based on input-to-state stable control

Choon Ki Ahn

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

4 Citations (Scopus)

Abstract

In this paper, we propose a new input-to-state stable (ISS) synchronization method for chaotic behavior in nonlinear Bloch equations with external disturbance. Based on Lyapunov theory and linear matrix inequality (LMI) approach, for the first time, the ISS synchronization controller is presented to not only guarantee the asymptotic synchronization but also achieve the bounded synchronization error for any bounded disturbance. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. Simulation study is presented to demonstrate the effectiveness of the proposed synchronization scheme.

Original language	English
Pages (from-to)	308-312
Number of pages	5
Journal	Communications in Theoretical Physics
Volume	53
Issue number	2
DOIs	https://doi.org/10.1088/0253-6102/53/2/20
Publication status	Published - 2010
Externally published	Yes

Keywords

Chaos synchronization
Input-to-state stable (ISS) control
Linear ma- trix inequality (LMI)
Lyapunov theory
Nonlinear Bloch equations

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1088/0253-6102/53/2/20

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title = "Chaos synchronization of nonlinear bloch equations based on input-to-state stable control",

abstract = "In this paper, we propose a new input-to-state stable (ISS) synchronization method for chaotic behavior in nonlinear Bloch equations with external disturbance. Based on Lyapunov theory and linear matrix inequality (LMI) approach, for the first time, the ISS synchronization controller is presented to not only guarantee the asymptotic synchronization but also achieve the bounded synchronization error for any bounded disturbance. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. Simulation study is presented to demonstrate the effectiveness of the proposed synchronization scheme.",

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language = "English",

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T1 - Chaos synchronization of nonlinear bloch equations based on input-to-state stable control

AU - Ahn, Choon Ki

PY - 2010

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AB - In this paper, we propose a new input-to-state stable (ISS) synchronization method for chaotic behavior in nonlinear Bloch equations with external disturbance. Based on Lyapunov theory and linear matrix inequality (LMI) approach, for the first time, the ISS synchronization controller is presented to not only guarantee the asymptotic synchronization but also achieve the bounded synchronization error for any bounded disturbance. The proposed controller can be obtained by solving a convex optimization problem represented by the LMI. Simulation study is presented to demonstrate the effectiveness of the proposed synchronization scheme.

KW - Chaos synchronization

KW - Input-to-state stable (ISS) control

KW - Linear ma- trix inequality (LMI)

KW - Lyapunov theory

KW - Nonlinear Bloch equations

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JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 2

ER -

Chaos synchronization of nonlinear bloch equations based on input-to-state stable control

Abstract

Keywords

ASJC Scopus subject areas

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