Hybrid Projective Synchronization of Fractional-Order Chaotic Systems with Time Delay
The hybrid projective synchronization for fractional-order chaotic systems with time delay is investigated in this paper. On the basis of stability analysis of fractional-order systems and pole placement technique, a novel and general approach is proposed. The hybrid projective synchronization of fr...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/459801 |
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| _version_ | 1832545638101811200 |
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| author | Li-xin Yang Jun Jiang |
| author_facet | Li-xin Yang Jun Jiang |
| author_sort | Li-xin Yang |
| collection | DOAJ |
| description | The hybrid projective synchronization for fractional-order chaotic systems with time delay is investigated in this paper. On the basis of stability analysis of fractional-order systems and pole placement technique, a novel and general approach is proposed. The hybrid projective synchronization of fractional-order chaotic and hyperchaotic systems with time delay is achieved via designing an appropriate controller. Corresponding numerical results are presented to demonstrate the effectiveness of the proposed synchronization scheme. Furthermore, the influence of the fractional order on the synchronization process is discussed. The result reveals that the fractional order has a significant effect on the synchronization speed. |
| format | Article |
| id | doaj-art-3decb19c17ce45f491d68b58c549e267 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-3decb19c17ce45f491d68b58c549e2672025-02-03T07:25:13ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/459801459801Hybrid Projective Synchronization of Fractional-Order Chaotic Systems with Time DelayLi-xin Yang0Jun Jiang1State Key Laboratory for Strength and Vibration, Xi’an Jiaotong University, Xi’an 710049, ChinaState Key Laboratory for Strength and Vibration, Xi’an Jiaotong University, Xi’an 710049, ChinaThe hybrid projective synchronization for fractional-order chaotic systems with time delay is investigated in this paper. On the basis of stability analysis of fractional-order systems and pole placement technique, a novel and general approach is proposed. The hybrid projective synchronization of fractional-order chaotic and hyperchaotic systems with time delay is achieved via designing an appropriate controller. Corresponding numerical results are presented to demonstrate the effectiveness of the proposed synchronization scheme. Furthermore, the influence of the fractional order on the synchronization process is discussed. The result reveals that the fractional order has a significant effect on the synchronization speed.http://dx.doi.org/10.1155/2013/459801 |
| spellingShingle | Li-xin Yang Jun Jiang Hybrid Projective Synchronization of Fractional-Order Chaotic Systems with Time Delay Discrete Dynamics in Nature and Society |
| title | Hybrid Projective Synchronization of Fractional-Order Chaotic Systems with Time Delay |
| title_full | Hybrid Projective Synchronization of Fractional-Order Chaotic Systems with Time Delay |
| title_fullStr | Hybrid Projective Synchronization of Fractional-Order Chaotic Systems with Time Delay |
| title_full_unstemmed | Hybrid Projective Synchronization of Fractional-Order Chaotic Systems with Time Delay |
| title_short | Hybrid Projective Synchronization of Fractional-Order Chaotic Systems with Time Delay |
| title_sort | hybrid projective synchronization of fractional order chaotic systems with time delay |
| url | http://dx.doi.org/10.1155/2013/459801 |
| work_keys_str_mv | AT lixinyang hybridprojectivesynchronizationoffractionalorderchaoticsystemswithtimedelay AT junjiang hybridprojectivesynchronizationoffractionalorderchaoticsystemswithtimedelay |