Synchronization of chaotic fractional-order systems via linear controlReport as inadecuate

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1 Faculty of Science and Technology 2 LMAH - Laboratoire de Mathématiques Appliquées du Havre 3 LITIS - Laboratoire d-Informatique, de Traitement de l-Information et des Systèmes

Abstract : The chaotic dynamics of fractional-order systems has attracted much attention recently. Chaotic synchronization of fractional-order systems is further studied in this paper. We investigate the chaos synchronization of two identical systems via a suitable linear controller applied to the response system. Based on the stability results of linear fractional-order systems, sufficient conditions for chaos synchronization of these systems are given. Control laws are derived analytically to achieve synchronization of the chaotic fractional-order Chen, Rössler and modified Chua systems. Numerical simulations are provided to verify the theoretical analysis

Keywords : Chaos synchronization Fractional-order system Caputo fractional derivative Mittag-Leffler function Stability Linear control

Author: Zaid Odibat - Nathalie Corson - Moulay Aziz-Alaoui - Cyrille Bertelle -



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