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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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/2049396 |
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| _version_ | 1832551989128462336 |
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| author | Yehong Yang Guohua Cao |
| author_facet | Yehong Yang Guohua Cao |
| author_sort | Yehong Yang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-f3ad29f3179a464686027938bce23386 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-f3ad29f3179a464686027938bce233862025-02-03T06:00:03ZengWileyDiscrete 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2017/2049396 |
| work_keys_str_mv | AT yehongyang modifiedfunctionprojectivesynchronizationforapartiallylinearandfractionalorderfinancialchaoticsystemwithuncertainparameters AT guohuacao modifiedfunctionprojectivesynchronizationforapartiallylinearandfractionalorderfinancialchaoticsystemwithuncertainparameters |