Synchronization of fractional time -delayed financial system using a novel type-2 fuzzy active control method
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0960-0779; 1873-2887
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Chaos Solitons & Fractals, 2020, Vol. 136, Art. 109768, OnlineOnly
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WANG, Shaojie, BEKIROS, Stelios D., YOUSEFPOUR, Amin, HE, Shaobo, CASTILLO, Oscar, JAHANSHAHI, Hadi, Synchronization of fractional time -delayed financial system using a novel type-2 fuzzy active control method, Chaos Solitons & Fractals, 2020, Vol. 136, Art. 109768, OnlineOnly - https://hdl.handle.net/1814/70090
Abstract
In the present article, as a new approach, a fuzzy disturbance observer is combined with an active controller for the synchronization of fractional-order time-delayed systems. Since the type-2 fuzzy logic system shows better performances than the type-1 fuzzy logic system on handling the uncertainties and disturbances, the type-2 fuzzy disturbance observer is utilized in this study. The stability of the proposed method is performed using the Lyapunov stability theorem and active control concept. Then, a fractional-order time-delayed financial system has been investigated, and some features of this chaotic system have been studied. Finally, by applying the proposed control scheme, synchronization results of the fractional-order time-delayed financial system when there exist time-varying disturbances are presented. Numerical simulations demonstrate the robustness and effectiveness of the proposed control technique.
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First published online: 23 April 2020