Modified Function Projective Synchronization for a Partially Linear and Fractional-Order Financial Chaotic System with Uncertain Parameters

Modified Function Projective Synchronization for a Partially Linear and Fractional-Order Financial Chaotic System with Uncertain Parameters

This paper investigates the modified function projective synchronization between fractional-order chaotic systems, which are partially linear financial systems with uncertain parameters. Based on the stability theory of fractional-order systems and the Lyapunov matrix equation, a controller is obtai...

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Main Authors: Yehong Yang, Guohua Cao
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2017/2049396
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spelling doaj-f3ad29f3179a464686027938bce233862020-11-24T22:21:45ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/20493962049396Modified Function Projective Synchronization for a Partially Linear and Fractional-Order Financial Chaotic System with Uncertain ParametersYehong Yang0Guohua Cao1College of Economics & Business Administration, Chongqing University, Chongqing 400030, ChinaCollege of Economics & Business Administration, Chongqing University, Chongqing 400030, ChinaThis paper investigates the modified function projective synchronization between fractional-order chaotic systems, which are partially linear financial systems with uncertain parameters. Based on the stability theory of fractional-order systems and the Lyapunov matrix equation, a controller is obtained for the synchronization between fractional-order financial chaotic systems. Using the controller, the error systems converged to zero as time tends to infinity, and the uncertain parameters were also estimated so that the phenomenon of parameter distortion was effectively avoided. Numerical simulations demonstrate the validity and feasibility of the proposed method.http://dx.doi.org/10.1155/2017/2049396
collection DOAJ
language English
format Article
sources DOAJ
author Yehong Yang
Guohua Cao
spellingShingle Yehong Yang
Guohua Cao
Modified Function Projective Synchronization for a Partially Linear and Fractional-Order Financial Chaotic System with Uncertain Parameters
Discrete Dynamics in Nature and Society
author_facet Yehong Yang
Guohua Cao
author_sort Yehong Yang
title Modified Function Projective Synchronization for a Partially Linear and Fractional-Order Financial Chaotic System with Uncertain Parameters
title_short Modified Function Projective Synchronization for a Partially Linear and Fractional-Order Financial Chaotic System with Uncertain Parameters
title_full Modified Function Projective Synchronization for a Partially Linear and Fractional-Order Financial Chaotic System with Uncertain Parameters
title_fullStr Modified Function Projective Synchronization for a Partially Linear and Fractional-Order Financial Chaotic System with Uncertain Parameters
title_full_unstemmed Modified Function Projective Synchronization for a Partially Linear and Fractional-Order Financial Chaotic System with Uncertain Parameters
title_sort modified function projective synchronization for a partially linear and fractional-order financial chaotic system with uncertain parameters
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2017-01-01
description This paper investigates the modified function projective synchronization between fractional-order chaotic systems, which are partially linear financial systems with uncertain parameters. Based on the stability theory of fractional-order systems and the Lyapunov matrix equation, a controller is obtained for the synchronization between fractional-order financial chaotic systems. Using the controller, the error systems converged to zero as time tends to infinity, and the uncertain parameters were also estimated so that the phenomenon of parameter distortion was effectively avoided. Numerical simulations demonstrate the validity and feasibility of the proposed method.
url http://dx.doi.org/10.1155/2017/2049396
work_keys_str_mv AT yehongyang modifiedfunctionprojectivesynchronizationforapartiallylinearandfractionalorderfinancialchaoticsystemwithuncertainparameters
AT guohuacao modifiedfunctionprojectivesynchronizationforapartiallylinearandfractionalorderfinancialchaoticsystemwithuncertainparameters
_version_ 1725769800849817600

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