Synchronization Problem of a Novel Fractal-Fractional Orders’ Hyperchaotic Finance System | Zendy

Yaru Zhang | Zendy; Yingxue Du | Zendy

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Synchronization Problem of a Novel Fractal-Fractional Orders’ Hyperchaotic Finance System

Author(s) -

Yaru Zhang,

Yingxue Du

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/4152160

Subject(s) - correctness , synchronization (alternating current) , controller (irrigation) , control theory (sociology) , estimator , disturbance (geology) , fractal , computer science , chaos (operating system) , control (management) , mathematical optimization , mathematics , algorithm , artificial intelligence , statistics , telecommunications , channel (broadcasting) , paleontology , mathematical analysis , computer security , agronomy , biology

This paper investigates the synchronization problem of a novel fractal-fractional (FF) orders’ hyperchaotic finance system with model uncertainty and external disturbance. Firstly, a controller is designed to realize the synchronization of the nominal FF-orders’ hyperchaotic finance system. Secondly, a suitable filer is designed to estimate uncertainty and disturbance, and then, the uncertainty and disturbance estimator- (UDE-) based control method is proposed to realize the synchronization problem of such system. Finally, numerical simulations are carried out to verify the correctness and the effectiveness of the obtained results.

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