Exponential synchronization of chaotic Lur'e systems with delayed feedback control

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)441-453
Journal / PublicationNonlinear Dynamics
Volume57
Issue number3
Publication statusPublished - Aug 2009

Abstract

The exponential synchronization problem is studied in this paper for a class of chaotic Lur'e systems by using delayed feedback control. An augmented Lyapunov functional based approach is proposed to deal with this issue. A delay-dependent condition is established such that the controlled slave system can exponentially synchronize with the master system. It is shown that the delayed feedback gain matrix and the exponential decay rate can be obtained by solving a set of linear matrix inequalities. The decay coefficient can be also easily calculated. Finally, as an example, the Chua's circuit is used to illustrate the effectiveness of the developed approach and the improvement over some existing results. © 2008 Springer Science+Business Media B.V.

Research Area(s)

  • Augmented Lyapunov functional, Chaotic systems, Exponential synchronization, Integral inequalities, Linear matrix inequalities, Time delay

Citation Format(s)

Exponential synchronization of chaotic Lur'e systems with delayed feedback control. / Huang, He; Feng, Gang; Cao, Jinde.
In: Nonlinear Dynamics, Vol. 57, No. 3, 08.2009, p. 441-453.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review