Adaptive synchronization of Lü system with uncertain parameters

This paper addresses the synchronization problem of two Lü systems in the presence of unknown system parameters. Based on Lyapunov stability theory an adaptive control law is derived to make the states of two identical Lü systems with unknown system parameters asymptotically synchronized. Numerical...

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Bibliographic Details
Published inChaos, solitons and fractals Vol. 21; no. 3; pp. 657 - 667
Main Authors Elabbasy, E.M., Agiza, H.N., El-Dessoky, M.M.
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.07.2004
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Summary:This paper addresses the synchronization problem of two Lü systems in the presence of unknown system parameters. Based on Lyapunov stability theory an adaptive control law is derived to make the states of two identical Lü systems with unknown system parameters asymptotically synchronized. Numerical simulations are presented to show the effectiveness of the proposed chaos synchronization schemes.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2003.12.028