Adaptive Control of a New Chaotic Financial System with Integer Order and Fractional Order and Its Identical Adaptive Synchronization | Zendy

Paul Yaovi Dousseh | Zendy; Cyrille Ainamon | Zendy; C. H. Miwadinou | Zendy; A. V. Monwanou | Zendy; J. B. Chabi Orou | Zendy

Open Access

Adaptive Control of a New Chaotic Financial System with Integer Order and Fractional Order and Its Identical Adaptive Synchronization

Author(s) -

Paul Yaovi Dousseh,

Cyrille Ainamon,

C. H. Miwadinou,

A. V. Monwanou,

J. B. Chabi Orou

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 - 10.1155/2021/5512094

Subject(s) - integer (computer science) , synchronization (alternating current) , constant (computer programming) , stability theory , lyapunov stability , control theory (sociology) , order (exchange) , adaptive control , mathematics , synchronization of chaos , lyapunov function , fractional order system , stability (learning theory) , control (management) , fractional calculus , computer science , finance , nonlinear system , topology (electrical circuits) , combinatorics , physics , quantum mechanics , artificial intelligence , machine learning , economics , programming language

In this paper, adaptive control and adaptive synchronization of an integer and fractional order new financial system with unknown constant parameters are studied. Based on Lyapunov’s stability theory, an adaptive control law is designed to asymptotically stabilize the state variables of the system to the origin in integer and fractional order cases. By the same theory, an adaptive synchronization law is designed to perform the identical synchronization of the new financial system in the cases of integer and fractional order with unknown constant parameters. Numerical simulations are carried out in order to show the efficiency of the theoretical results.

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