H∞ synchronization of time-delayed chaotic systems

Ju H. Park; D. H. Ji; S. C. Won; S. M. Lee

doi:10.1016/j.amc.2008.06.012

H_∞ synchronization of time-delayed chaotic systems

Ju H. Park, D. H. Ji, S. C. Won, S. M. Lee

School of Electronics Engineering

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

90 Scopus citations

Abstract

This paper considers H_∞ synchronization of a class of time-delayed chaotic systems with external disturbance. Based on Lyapunov theory and linear matrix inequality (LMI) formulation, the dynamic feedback controller is established to not only guarantee synchronization between derive and response systems, but also reduce the effect of external disturbance to an H_∞ norm constraint. Then, a criterion for existence of the controller is given in terms of LMIs. Finally, a numerical simulation is presented to show the effectiveness of the proposed chaos synchronization scheme.

Original language	English
Pages (from-to)	170-177
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	204
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2008.06.012
State	Published - 1 Oct 2008

Keywords

Dynamic feedback
H synchronization
LMI
Time-delayed chaotic systems

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10.1016/j.amc.2008.06.012

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abstract = "This paper considers H∞ synchronization of a class of time-delayed chaotic systems with external disturbance. Based on Lyapunov theory and linear matrix inequality (LMI) formulation, the dynamic feedback controller is established to not only guarantee synchronization between derive and response systems, but also reduce the effect of external disturbance to an H∞ norm constraint. Then, a criterion for existence of the controller is given in terms of LMIs. Finally, a numerical simulation is presented to show the effectiveness of the proposed chaos synchronization scheme.",

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AU - Ji, D. H.

AU - Won, S. C.

AU - Lee, S. M.

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N2 - This paper considers H∞ synchronization of a class of time-delayed chaotic systems with external disturbance. Based on Lyapunov theory and linear matrix inequality (LMI) formulation, the dynamic feedback controller is established to not only guarantee synchronization between derive and response systems, but also reduce the effect of external disturbance to an H∞ norm constraint. Then, a criterion for existence of the controller is given in terms of LMIs. Finally, a numerical simulation is presented to show the effectiveness of the proposed chaos synchronization scheme.

AB - This paper considers H∞ synchronization of a class of time-delayed chaotic systems with external disturbance. Based on Lyapunov theory and linear matrix inequality (LMI) formulation, the dynamic feedback controller is established to not only guarantee synchronization between derive and response systems, but also reduce the effect of external disturbance to an H∞ norm constraint. Then, a criterion for existence of the controller is given in terms of LMIs. Finally, a numerical simulation is presented to show the effectiveness of the proposed chaos synchronization scheme.

KW - Dynamic feedback

KW - H synchronization

KW - LMI

KW - Time-delayed chaotic systems

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JO - Applied Mathematics and Computation

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ER -

H_∞ synchronization of time-delayed chaotic systems

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