Adaptive synchronization of Genesio-Tesi chaotic system via a novel feedback control

Ju H. Park; S. M. Lee; O. M. Kwon

doi:10.1016/j.physleta.2007.06.020

Adaptive synchronization of Genesio-Tesi chaotic system via a novel feedback control

Ju H. Park, S. M. Lee, O. M. Kwon

School of Electronics Engineering

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

85 Scopus citations

Abstract

The Letter addresses control problem for adaptive synchronization of the Genesio-Tesi chaotic systems with three uncertain parameters. A new control scheme is proposed to make the states of two Genesio-Tesi systems asymptotically synchronized. Based on the Lyapunov method and linear matrix inequality (LMI) framework, an existence criterion for the control law is derived in terms of LMIs. A numerical simulation is illustrated to show the effectiveness of the proposed chaos synchronization scheme.

Original language	English
Pages (from-to)	263-270
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	371
Issue number	4
DOIs	https://doi.org/10.1016/j.physleta.2007.06.020
State	Published - 19 Nov 2007

Keywords

Adaptive synchronization
Chaotic system
Feedback control
LMI

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10.1016/j.physleta.2007.06.020

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abstract = "The Letter addresses control problem for adaptive synchronization of the Genesio-Tesi chaotic systems with three uncertain parameters. A new control scheme is proposed to make the states of two Genesio-Tesi systems asymptotically synchronized. Based on the Lyapunov method and linear matrix inequality (LMI) framework, an existence criterion for the control law is derived in terms of LMIs. A numerical simulation is illustrated to show the effectiveness of the proposed chaos synchronization scheme.",

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AU - Lee, S. M.

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N2 - The Letter addresses control problem for adaptive synchronization of the Genesio-Tesi chaotic systems with three uncertain parameters. A new control scheme is proposed to make the states of two Genesio-Tesi systems asymptotically synchronized. Based on the Lyapunov method and linear matrix inequality (LMI) framework, an existence criterion for the control law is derived in terms of LMIs. A numerical simulation is illustrated to show the effectiveness of the proposed chaos synchronization scheme.

AB - The Letter addresses control problem for adaptive synchronization of the Genesio-Tesi chaotic systems with three uncertain parameters. A new control scheme is proposed to make the states of two Genesio-Tesi systems asymptotically synchronized. Based on the Lyapunov method and linear matrix inequality (LMI) framework, an existence criterion for the control law is derived in terms of LMIs. A numerical simulation is illustrated to show the effectiveness of the proposed chaos synchronization scheme.

KW - Adaptive synchronization

KW - Chaotic system

KW - Feedback control

KW - LMI

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IS - 4

ER -

Adaptive synchronization of Genesio-Tesi chaotic system via a novel feedback control

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Keywords

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