Adaptive - Synchronization of Fractional-Order Chaotic Systems with Nonidentical Structures
This paper investigates the adaptive - synchronization of the fractional-order chaotic systems with nonidentical structures. Based on the stability of fractional-order systems and adaptive control technique, a general formula for designing the controller and parameters update law is proposed to achi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/367506 |
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| _version_ | 1832554665934323712 |
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| author | Li-xin Yang Wan-sheng He |
| author_facet | Li-xin Yang Wan-sheng He |
| author_sort | Li-xin Yang |
| collection | DOAJ |
| description | This paper investigates the adaptive - synchronization of the fractional-order chaotic systems with nonidentical structures. Based on the stability of fractional-order systems and adaptive control technique, a general formula for designing the controller and parameters update law is proposed to achieve adaptive - synchronization between two different chaotic systems with different structures. The effective scheme parameters identification and - synchronization of chaotic systems can be realized simultaneously. Furthermore, two typical illustrative numerical simulations are given to demonstrate the effectiveness of the proposed scheme, for each case, we design the controller and parameter update laws in detail. The numerical simulations are performed to verify the effectiveness of the theoretical results. |
| format | Article |
| id | doaj-art-d13535a119f94ff1b205d05b31b9e88a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-d13535a119f94ff1b205d05b31b9e88a2025-02-03T05:50:56ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/367506367506Adaptive - Synchronization of Fractional-Order Chaotic Systems with Nonidentical StructuresLi-xin Yang0Wan-sheng He1School of Mathematic and Statistics, Tianshui Normal University, Tianshui 741001, ChinaSchool of Mathematic and Statistics, Tianshui Normal University, Tianshui 741001, ChinaThis paper investigates the adaptive - synchronization of the fractional-order chaotic systems with nonidentical structures. Based on the stability of fractional-order systems and adaptive control technique, a general formula for designing the controller and parameters update law is proposed to achieve adaptive - synchronization between two different chaotic systems with different structures. The effective scheme parameters identification and - synchronization of chaotic systems can be realized simultaneously. Furthermore, two typical illustrative numerical simulations are given to demonstrate the effectiveness of the proposed scheme, for each case, we design the controller and parameter update laws in detail. The numerical simulations are performed to verify the effectiveness of the theoretical results.http://dx.doi.org/10.1155/2013/367506 |
| spellingShingle | Li-xin Yang Wan-sheng He Adaptive - Synchronization of Fractional-Order Chaotic Systems with Nonidentical Structures Abstract and Applied Analysis |
| title | Adaptive - Synchronization of Fractional-Order Chaotic Systems with Nonidentical Structures |
| title_full | Adaptive - Synchronization of Fractional-Order Chaotic Systems with Nonidentical Structures |
| title_fullStr | Adaptive - Synchronization of Fractional-Order Chaotic Systems with Nonidentical Structures |
| title_full_unstemmed | Adaptive - Synchronization of Fractional-Order Chaotic Systems with Nonidentical Structures |
| title_short | Adaptive - Synchronization of Fractional-Order Chaotic Systems with Nonidentical Structures |
| title_sort | adaptive synchronization of fractional order chaotic systems with nonidentical structures |
| url | http://dx.doi.org/10.1155/2013/367506 |
| work_keys_str_mv | AT lixinyang adaptivesynchronizationoffractionalorderchaoticsystemswithnonidenticalstructures AT wanshenghe adaptivesynchronizationoffractionalorderchaoticsystemswithnonidenticalstructures |