A new contribution for the impulsive synchronization of fractional-order discrete-time chaotic systems |
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Authors: | Ouerdia Megherbi Hamid Hamiche Saïd Djennoune Maamar Bettayeb |
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Affiliation: | 1.Laboratoire de Conception et Conduite des Systèmes de Production (L2CSP),UMMTO,Tizi-Ouzou,Algeria;2.University of Sharjah,Sharjah,UAE |
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Abstract: | In this paper, we discuss and investigate the impulsive synchronization of fractional-order discrete-time chaotic systems. The proposed method is based on the impulsive synchronization theory used in the integer-order case on the one hand and the mathematical analysis of the fractional-order discrete-time systems on the other hand. Sufficient conditions for the stability of synchronization error system are given, and application example with numerical simulations is illustrated in order to verify that the proposed method is applicable and effective. Furthermore, in order to validate the proposed synchronization approach, we have also provided the experimental implementation results using Arduino Mega boards. |
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