H ∞ synchronization of time-delayed chaotic systems

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 sys...

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Published in:Applied mathematics and computation 2008-10, Vol.204 (1), p.170-177
Main Authors: Park, Ju H., Ji, D.H., Won, S.C., Lee, S.M.
Format: Article
Language:English
Subjects:
[formula omitted] synchronization
Algebra
Dynamic feedback
Exact sciences and technology
Linear and multilinear algebra, matrix theory
LMI
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Sciences and techniques of general use
Time-delayed chaotic systems
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Ji, D.H.
Won, S.C.
Lee, S.M.
description 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.
doi_str_mv 10.1016/j.amc.2008.06.012
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subjects [formula omitted] synchronization
Algebra
Dynamic feedback
Exact sciences and technology
Linear and multilinear algebra, matrix theory
LMI
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Sciences and techniques of general use
Time-delayed chaotic systems
title H ∞ synchronization of time-delayed chaotic systems
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