Synchronization of fractional time-delayed financial system using a novel type-2 fuzzy active control method

Shaojie Wang, Stelios Bekiros, Amin Yousefpour, Shaobo He, Oscar Castillo and Hadi Jahanshahi

Chaos, Solitons & Fractals, 2020, vol. 136, issue C

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.

Keywords: Type-2 fuzzy disturbance observer; Active control; Time-delayed system; Fractional-order financial system (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (17)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:136:y:2020:i:c:s0960077920301703

DOI: 10.1016/j.chaos.2020.109768

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