Dynamic controller design for exponential synchronization of Chen chaotic system

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

doi:10.1016/j.physleta.2007.03.015

Dynamic controller design for exponential synchronization of Chen chaotic system

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

School of Electronics Engineering

Yeungnam University
Chungbuk National University

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

13 Scopus citations

Abstract

The Letter considers synchronization of Chen chaotic system. The problems of determining the exponential stability and estimating the exponential convergence rate for the synchronization are investigated by employing the Lyapunov functional method and linear matrix inequality (LMI) technique. For this end, a dynamic controller is proposed for the first time and a criterion for existence of the controller is given in terms of LMIs. Finally, numerical simulations are presented to show the effectiveness of the proposed chaos synchronization scheme.

Original language	English
Pages (from-to)	271-275
Number of pages	5
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	367
Issue number	4-5
DOIs	https://doi.org/10.1016/j.physleta.2007.03.015
State	Published - 30 Jul 2007

Keywords

Chen system
Exponential synchronization
LMI
Lyapunov method

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10.1016/j.physleta.2007.03.015

Cite this

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title = "Dynamic controller design for exponential synchronization of Chen chaotic system",

abstract = "The Letter considers synchronization of Chen chaotic system. The problems of determining the exponential stability and estimating the exponential convergence rate for the synchronization are investigated by employing the Lyapunov functional method and linear matrix inequality (LMI) technique. For this end, a dynamic controller is proposed for the first time and a criterion for existence of the controller is given in terms of LMIs. Finally, numerical simulations are presented to show the effectiveness of the proposed chaos synchronization scheme.",

keywords = "Chen system, Exponential synchronization, LMI, Lyapunov method",

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AU - Park, Ju H.

AU - Lee, S. M.

AU - Kwon, O. M.

PY - 2007/7/30

Y1 - 2007/7/30

N2 - The Letter considers synchronization of Chen chaotic system. The problems of determining the exponential stability and estimating the exponential convergence rate for the synchronization are investigated by employing the Lyapunov functional method and linear matrix inequality (LMI) technique. For this end, a dynamic controller is proposed for the first time and a criterion for existence of the controller is given in terms of LMIs. Finally, numerical simulations are presented to show the effectiveness of the proposed chaos synchronization scheme.

AB - The Letter considers synchronization of Chen chaotic system. The problems of determining the exponential stability and estimating the exponential convergence rate for the synchronization are investigated by employing the Lyapunov functional method and linear matrix inequality (LMI) technique. For this end, a dynamic controller is proposed for the first time and a criterion for existence of the controller is given in terms of LMIs. Finally, numerical simulations are presented to show the effectiveness of the proposed chaos synchronization scheme.

KW - Chen system

KW - Exponential synchronization

KW - LMI

KW - Lyapunov method

UR - https://www.scopus.com/pages/publications/34447550701

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DO - 10.1016/j.physleta.2007.03.015

M3 - Article

AN - SCOPUS:34447550701

SN - 0375-9601

VL - 367

SP - 271

EP - 275

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 4-5

ER -

Dynamic controller design for exponential synchronization of Chen chaotic system

Abstract

Keywords

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