Projective Synchronization of N-Dimensional Chaotic Fractional-Order Systems via Linear State Error Feedback Control
Based on linear feedback control technique, a projective synchronization scheme of N-dimensional chaotic fractional-order systems is proposed, which consists of master and slave fractional-order financial systems coupled by linear state error variables. It is shown that the slave system can be proje...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2012/191063 |
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| _version_ | 1832551734321348608 |
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| author | Baogui Xin Tong Chen |
| author_facet | Baogui Xin Tong Chen |
| author_sort | Baogui Xin |
| collection | DOAJ |
| description | Based on linear feedback control technique, a projective synchronization scheme of N-dimensional chaotic fractional-order systems is proposed, which consists of master and slave fractional-order financial systems coupled by linear state error variables. It is shown that the slave system can be projectively synchronized with the master system constructed by state transformation. Based on the stability theory of linear fractional order systems, a suitable controller for achieving synchronization is designed. The given scheme is applied to achieve projective synchronization of chaotic fractional-order financial systems. Numerical simulations are given to verify the effectiveness of the proposed projective synchronization scheme. |
| format | Article |
| id | doaj-art-5e5baa62a5b04a0aaf9f326e60d047f4 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-5e5baa62a5b04a0aaf9f326e60d047f42025-02-03T06:00:36ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2012-01-01201210.1155/2012/191063191063Projective Synchronization of N-Dimensional Chaotic Fractional-Order Systems via Linear State Error Feedback ControlBaogui Xin0Tong Chen1Nonlinear Dynamics and Chaos Group, School of Management, Tianjin University, Tianjin 300072, ChinaNonlinear Dynamics and Chaos Group, School of Management, Tianjin University, Tianjin 300072, ChinaBased on linear feedback control technique, a projective synchronization scheme of N-dimensional chaotic fractional-order systems is proposed, which consists of master and slave fractional-order financial systems coupled by linear state error variables. It is shown that the slave system can be projectively synchronized with the master system constructed by state transformation. Based on the stability theory of linear fractional order systems, a suitable controller for achieving synchronization is designed. The given scheme is applied to achieve projective synchronization of chaotic fractional-order financial systems. Numerical simulations are given to verify the effectiveness of the proposed projective synchronization scheme.http://dx.doi.org/10.1155/2012/191063 |
| spellingShingle | Baogui Xin Tong Chen Projective Synchronization of N-Dimensional Chaotic Fractional-Order Systems via Linear State Error Feedback Control Discrete Dynamics in Nature and Society |
| title | Projective Synchronization of N-Dimensional Chaotic Fractional-Order Systems via Linear State Error Feedback Control |
| title_full | Projective Synchronization of N-Dimensional Chaotic Fractional-Order Systems via Linear State Error Feedback Control |
| title_fullStr | Projective Synchronization of N-Dimensional Chaotic Fractional-Order Systems via Linear State Error Feedback Control |
| title_full_unstemmed | Projective Synchronization of N-Dimensional Chaotic Fractional-Order Systems via Linear State Error Feedback Control |
| title_short | Projective Synchronization of N-Dimensional Chaotic Fractional-Order Systems via Linear State Error Feedback Control |
| title_sort | projective synchronization of n dimensional chaotic fractional order systems via linear state error feedback control |
| url | http://dx.doi.org/10.1155/2012/191063 |
| work_keys_str_mv | AT baoguixin projectivesynchronizationofndimensionalchaoticfractionalordersystemsvialinearstateerrorfeedbackcontrol AT tongchen projectivesynchronizationofndimensionalchaoticfractionalordersystemsvialinearstateerrorfeedbackcontrol |