A new criterion for chaos synchronization using linear state feedback control

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Original languageEnglish
Pages (from-to)2343-2351
Journal / PublicationInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Issue number8
Publication statusPublished - Aug 2003


This paper studies chaos synchronization between two coupled chaotic systems using linear state feedback control. A new, simple and yet easily applicable criterion is derived for chaos synchronization based on the Lyapunov stability theory and the Linear Quadratic Optimal Control theory. This criterion is given in terms of some simple algebraic inequalities established by the Gerschgorin theorem, and it is easily applicable to a large class of chaotic systems. As an example, the familiar Chua's circuit is simulated for demonstration.

Research Area(s)

  • Chaos, Chua's circuit, LQ optimal control, Lyapunov theory, Synchronization

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