In this paper the main objective of this study is to investigate on chaotic behavior of fractional-order modeled LU system and its controllability. It has been shown that this problem could lead to synchronization of two master and slave systems with the different fractional-order. The proposed method which is based on active sliding mode control (ASMC) has been developed to synchronize two chaotic systems with the partially different attractor. The numerical simulation results, verify the significance of the proposed controller even for chaotic synchronization task.
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