Chaos Control of a Fractional-Order Financial System

Chaos Control of a Fractional-Order Financial System

Fractional-order financial system introduced by W.-C. Chen (2008) displays chaotic motions at order less than 3. In this paper we have extended the nonlinear feedback control in ODE systems to fractional-order systems, in order to eliminate the chaotic behavior. The results are proved analytically b...

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Main Authors: Mohammed Salah Abd-Elouahab, Nasr-Eddine Hamri, Junwei Wang
Format: Article
Language:English
Published: Hindawi Limited 2010-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2010/270646
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spelling doaj-c1c730654d5a460389db7eebdc5331702020-11-24T23:12:21ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472010-01-01201010.1155/2010/270646270646Chaos Control of a Fractional-Order Financial SystemMohammed Salah Abd-Elouahab0Nasr-Eddine Hamri1Junwei Wang2Department of Science and Technology, University Center of Mila, Mila 43000, AlgeriaDepartment of Science and Technology, University Center of Mila, Mila 43000, AlgeriaCisco School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510006, ChinaFractional-order financial system introduced by W.-C. Chen (2008) displays chaotic motions at order less than 3. In this paper we have extended the nonlinear feedback control in ODE systems to fractional-order systems, in order to eliminate the chaotic behavior. The results are proved analytically by applying the Lyapunov linearization method and stability condition for fractional system. Moreover numerical simulations are shown to verify the effectiveness of the proposed control scheme.http://dx.doi.org/10.1155/2010/270646
collection DOAJ
language English
format Article
sources DOAJ
author Mohammed Salah Abd-Elouahab
Nasr-Eddine Hamri
Junwei Wang
spellingShingle Mohammed Salah Abd-Elouahab
Nasr-Eddine Hamri
Junwei Wang
Chaos Control of a Fractional-Order Financial System
Mathematical Problems in Engineering
author_facet Mohammed Salah Abd-Elouahab
Nasr-Eddine Hamri
Junwei Wang
author_sort Mohammed Salah Abd-Elouahab
title Chaos Control of a Fractional-Order Financial System
title_short Chaos Control of a Fractional-Order Financial System
title_full Chaos Control of a Fractional-Order Financial System
title_fullStr Chaos Control of a Fractional-Order Financial System
title_full_unstemmed Chaos Control of a Fractional-Order Financial System
title_sort chaos control of a fractional-order financial system
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2010-01-01
description Fractional-order financial system introduced by W.-C. Chen (2008) displays chaotic motions at order less than 3. In this paper we have extended the nonlinear feedback control in ODE systems to fractional-order systems, in order to eliminate the chaotic behavior. The results are proved analytically by applying the Lyapunov linearization method and stability condition for fractional system. Moreover numerical simulations are shown to verify the effectiveness of the proposed control scheme.
url http://dx.doi.org/10.1155/2010/270646
work_keys_str_mv AT mohammedsalahabdelouahab chaoscontrolofafractionalorderfinancialsystem
AT nasreddinehamri chaoscontrolofafractionalorderfinancialsystem
AT junweiwang chaoscontrolofafractionalorderfinancialsystem
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