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

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 t...

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Main Authors:	Paul Yaovi Dousseh, Cyrille Ainamon, Clément Hodévèwan Miwadinou, Adjimon Vincent Monwanou, Jean Bio Chabi Orou
Format:	Article
Language:	English
Published:	Hindawi Limited 2021-01-01
Series:	Mathematical Problems in Engineering
Online Access:	http://dx.doi.org/10.1155/2021/5512094

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spelling	doaj-2369dc0671b645ada085a3ae284945e22021-03-22T00:03:37ZengHindawi LimitedMathematical Problems in Engineering1563-51472021-01-01202110.1155/2021/5512094Adaptive Control of a New Chaotic Financial System with Integer Order and Fractional Order and Its Identical Adaptive SynchronizationPaul Yaovi Dousseh0Cyrille Ainamon1Clément Hodévèwan Miwadinou2Adjimon Vincent Monwanou3Jean Bio Chabi Orou4Laboratoire de Mécaniques des FluidesLaboratoire de Mécaniques des FluidesLaboratoire de Mécaniques des FluidesLaboratoire de Mécaniques des FluidesLaboratoire de Mécaniques des FluidesIn 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.http://dx.doi.org/10.1155/2021/5512094
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Paul Yaovi Dousseh Cyrille Ainamon Clément Hodévèwan Miwadinou Adjimon Vincent Monwanou Jean Bio Chabi Orou
spellingShingle	Paul Yaovi Dousseh Cyrille Ainamon Clément Hodévèwan Miwadinou Adjimon Vincent Monwanou Jean Bio Chabi Orou Adaptive Control of a New Chaotic Financial System with Integer Order and Fractional Order and Its Identical Adaptive Synchronization Mathematical Problems in Engineering
author_facet	Paul Yaovi Dousseh Cyrille Ainamon Clément Hodévèwan Miwadinou Adjimon Vincent Monwanou Jean Bio Chabi Orou
author_sort	Paul Yaovi Dousseh
title	Adaptive Control of a New Chaotic Financial System with Integer Order and Fractional Order and Its Identical Adaptive Synchronization
title_short	Adaptive Control of a New Chaotic Financial System with Integer Order and Fractional Order and Its Identical Adaptive Synchronization
title_full	Adaptive Control of a New Chaotic Financial System with Integer Order and Fractional Order and Its Identical Adaptive Synchronization
title_fullStr	Adaptive Control of a New Chaotic Financial System with Integer Order and Fractional Order and Its Identical Adaptive Synchronization
title_full_unstemmed	Adaptive Control of a New Chaotic Financial System with Integer Order and Fractional Order and Its Identical Adaptive Synchronization
title_sort	adaptive control of a new chaotic financial system with integer order and fractional order and its identical adaptive synchronization
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1563-5147
publishDate	2021-01-01
description	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.
url	http://dx.doi.org/10.1155/2021/5512094
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Adaptive Control of a New Chaotic Financial System with Integer Order and Fractional Order and Its Identical Adaptive Synchronization

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