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Title of Journal: Neural Comput Applic

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Abbravation: Neural Computing and Applications

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Springer London

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DOI

10.1016/0045-7949(81)90080-8

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1433-3058

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Projective synchronization of two different fracti

Authors: A Bouzeriba A Boulkroune T Bouden
Publish Date: 2015/06/24
Volume: 27, Issue: 5, Pages: 1349-1360
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Abstract

In this paper the projective synchronization problem of two fractionalorder different chaotic or hyperchaotic systems with both uncertain dynamics and external disturbances is considered More particularly a fuzzy adaptive control system is investigated for achieving an appropriate projective synchronization of unknown fractionalorder chaotic systems The adaptive fuzzy logic systems are used to approximate some uncertain nonlinear functions appearing in the system model These latter are augmented by a robust control term to compensate for the unavoidable fuzzy approximation errors and external disturbances as well as residual error due to the use of the socalled emodification in the adaptive laws A Lyapunov approach is adopted for the design of the parameter adaptation laws and the proof of the corresponding stability as well as the asymptotic convergence of the underlying synchronization errors towards zero The effectiveness of the proposed synchronization system is illustrated through numerical experiment results

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