Frequency-domain criteria for global synchronization of multiscroll chaotic systems under linear feedback control

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Original languageEnglish
Pages (from-to)2165-2177
Journal / PublicationInternational Journal of Bifurcation and Chaos
Issue number7
Publication statusPublished - Jul 2010


This paper provides a unified approach for achieving and analyzing global synchronization of a class of master-slave coupled multiscroll chaotic systems under linear state-error feedback control. A general mathematical model for such a class of multiscroll chaotic systems is first established. Based on some special properties of such systems, two less-conservative frequency-domain criteria for the desirable global synchronization are rigorously proven by means of the absolute stability theory. The analysis is then applied to two master-slave coupled modified Chua's circuits, obtaining the corresponding simple and precise algebraic criteria for global synchronization, which are finally verified by numerical simulations. © 2010 World Scientific Publishing Company.

Research Area(s)

  • Chaotic synchronization, linear state-error feedback control, modified Chua's circuit, multiscroll chaotic system