Hybrid Synchronization of Uncertain Generalized Lorenz System by Adaptive Control
This paper investigates hybrid synchronization of the uncertain generalized Lorenz system. Several useful criteria are given for synchronization of two generalized Lorenz systems, and the adaptive control law and the parameter update law are used. In comparison with those of existing synchronization...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2018/5603639 |
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| _version_ | 1832545545021816832 |
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| author | Xinlian Zhou Yuhua Xu |
| author_facet | Xinlian Zhou Yuhua Xu |
| author_sort | Xinlian Zhou |
| collection | DOAJ |
| description | This paper investigates hybrid synchronization of the uncertain generalized Lorenz system. Several useful criteria are given for synchronization of two generalized Lorenz systems, and the adaptive control law and the parameter update law are used. In comparison with those of existing synchronization methods, hybrid synchronization includes full-order synchronization, reduced-order synchronization, and modified projective synchronization. What is more, control of the stability point, complete synchronization, and antisynchronization can coexist in the same system. Numerical simulations show the effectiveness of this method in a class of chaotic systems. |
| format | Article |
| id | doaj-art-d0bab31bdf5d4fd2acf88a36aea22608 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-d0bab31bdf5d4fd2acf88a36aea226082025-02-03T07:25:40ZengWileyJournal of Control Science and Engineering1687-52491687-52572018-01-01201810.1155/2018/56036395603639Hybrid Synchronization of Uncertain Generalized Lorenz System by Adaptive ControlXinlian Zhou0Yuhua Xu1Department of Mathematics and Finance, Hanjiang Normal University, Hubei 442000, ChinaDepartment of Mathematics and Finance, Hanjiang Normal University, Hubei 442000, ChinaThis paper investigates hybrid synchronization of the uncertain generalized Lorenz system. Several useful criteria are given for synchronization of two generalized Lorenz systems, and the adaptive control law and the parameter update law are used. In comparison with those of existing synchronization methods, hybrid synchronization includes full-order synchronization, reduced-order synchronization, and modified projective synchronization. What is more, control of the stability point, complete synchronization, and antisynchronization can coexist in the same system. Numerical simulations show the effectiveness of this method in a class of chaotic systems.http://dx.doi.org/10.1155/2018/5603639 |
| spellingShingle | Xinlian Zhou Yuhua Xu Hybrid Synchronization of Uncertain Generalized Lorenz System by Adaptive Control Journal of Control Science and Engineering |
| title | Hybrid Synchronization of Uncertain Generalized Lorenz System by Adaptive Control |
| title_full | Hybrid Synchronization of Uncertain Generalized Lorenz System by Adaptive Control |
| title_fullStr | Hybrid Synchronization of Uncertain Generalized Lorenz System by Adaptive Control |
| title_full_unstemmed | Hybrid Synchronization of Uncertain Generalized Lorenz System by Adaptive Control |
| title_short | Hybrid Synchronization of Uncertain Generalized Lorenz System by Adaptive Control |
| title_sort | hybrid synchronization of uncertain generalized lorenz system by adaptive control |
| url | http://dx.doi.org/10.1155/2018/5603639 |
| work_keys_str_mv | AT xinlianzhou hybridsynchronizationofuncertaingeneralizedlorenzsystembyadaptivecontrol AT yuhuaxu hybridsynchronizationofuncertaingeneralizedlorenzsystembyadaptivecontrol |