Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems
Some sufficient conditions, which are valid for stability check of fractional-order nonlinear systems, are given in this paper. Based on these results, the synchronization of two fractional-order chaotic systems is investigated. A novel fractional-order sliding surface, which is composed of a synchr...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/3545083 |
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| author | Chenhui Wang |
| author_facet | Chenhui Wang |
| author_sort | Chenhui Wang |
| collection | DOAJ |
| description | Some sufficient conditions, which are valid for stability check of fractional-order nonlinear systems, are given in this paper. Based on these results, the synchronization of two fractional-order chaotic systems is investigated. A novel fractional-order sliding surface, which is composed of a synchronization error and its fractional-order integral, is introduced. The asymptotical stability of the synchronization error dynamical system can be guaranteed by the proposed fractional-order sliding mode controller. Finally, two numerical examples are given to show the feasibility of the proposed methods. |
| format | Article |
| id | doaj-art-7d3cabf943ed46daaaf7b392e3c45dee |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-7d3cabf943ed46daaaf7b392e3c45dee2025-02-03T01:25:44ZengWileyAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/35450833545083Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic SystemsChenhui Wang0College of Applied Mathematics, Xiamen University of Technology, Xiamen 361024, ChinaSome sufficient conditions, which are valid for stability check of fractional-order nonlinear systems, are given in this paper. Based on these results, the synchronization of two fractional-order chaotic systems is investigated. A novel fractional-order sliding surface, which is composed of a synchronization error and its fractional-order integral, is introduced. The asymptotical stability of the synchronization error dynamical system can be guaranteed by the proposed fractional-order sliding mode controller. Finally, two numerical examples are given to show the feasibility of the proposed methods.http://dx.doi.org/10.1155/2018/3545083 |
| spellingShingle | Chenhui Wang Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems Advances in Mathematical Physics |
| title | Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems |
| title_full | Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems |
| title_fullStr | Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems |
| title_full_unstemmed | Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems |
| title_short | Fractional-Order Sliding Mode Synchronization for Fractional-Order Chaotic Systems |
| title_sort | fractional order sliding mode synchronization for fractional order chaotic systems |
| url | http://dx.doi.org/10.1155/2018/3545083 |
| work_keys_str_mv | AT chenhuiwang fractionalorderslidingmodesynchronizationforfractionalorderchaoticsystems |