Synchronization of Fractional-Order Complex Chaotic Systems Based on Observers
By designing a state observer, a new type of synchronization named complex modified projective synchronization is investigated in a class of nonlinear fractional-order complex chaotic systems. Combining stability results of the fractional-order systems and the pole placement method, this paper prove...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-05-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/21/5/481 |
| _version_ | 1818002049025966080 |
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| author | Zhonghui Li Tongshui Xia Cuimei Jiang |
| author_facet | Zhonghui Li Tongshui Xia Cuimei Jiang |
| author_sort | Zhonghui Li |
| collection | DOAJ |
| description | By designing a state observer, a new type of synchronization named complex modified projective synchronization is investigated in a class of nonlinear fractional-order complex chaotic systems. Combining stability results of the fractional-order systems and the pole placement method, this paper proves the stability of fractional-order error systems and realizes complex modified projective synchronization. This method is so effective that it can be applied in engineering. Additionally, the proposed synchronization strategy is suitable for all fractional-order chaotic systems, including fractional-order hyper-chaotic systems. Finally, two numerical examples are studied to show the correctness of this new synchronization strategy. |
| first_indexed | 2024-04-14T03:40:57Z |
| format | Article |
| id | doaj.art-e4e13fc4931741e39893e16324af61cd |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-14T03:40:57Z |
| publishDate | 2019-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-e4e13fc4931741e39893e16324af61cd2022-12-22T02:14:32ZengMDPI AGEntropy1099-43002019-05-0121548110.3390/e21050481e21050481Synchronization of Fractional-Order Complex Chaotic Systems Based on ObserversZhonghui Li0Tongshui Xia1Cuimei Jiang2Business School, Shandong Normal University, Jinan 250014, ChinaBusiness School, Shandong Normal University, Jinan 250014, ChinaSchool of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaBy designing a state observer, a new type of synchronization named complex modified projective synchronization is investigated in a class of nonlinear fractional-order complex chaotic systems. Combining stability results of the fractional-order systems and the pole placement method, this paper proves the stability of fractional-order error systems and realizes complex modified projective synchronization. This method is so effective that it can be applied in engineering. Additionally, the proposed synchronization strategy is suitable for all fractional-order chaotic systems, including fractional-order hyper-chaotic systems. Finally, two numerical examples are studied to show the correctness of this new synchronization strategy.https://www.mdpi.com/1099-4300/21/5/481complex modified projective synchronizationfractional-order complex chaotic systemnonlinear state observer |
| spellingShingle | Zhonghui Li Tongshui Xia Cuimei Jiang Synchronization of Fractional-Order Complex Chaotic Systems Based on Observers Entropy complex modified projective synchronization fractional-order complex chaotic system nonlinear state observer |
| title | Synchronization of Fractional-Order Complex Chaotic Systems Based on Observers |
| title_full | Synchronization of Fractional-Order Complex Chaotic Systems Based on Observers |
| title_fullStr | Synchronization of Fractional-Order Complex Chaotic Systems Based on Observers |
| title_full_unstemmed | Synchronization of Fractional-Order Complex Chaotic Systems Based on Observers |
| title_short | Synchronization of Fractional-Order Complex Chaotic Systems Based on Observers |
| title_sort | synchronization of fractional order complex chaotic systems based on observers |
| topic | complex modified projective synchronization fractional-order complex chaotic system nonlinear state observer |
| url | https://www.mdpi.com/1099-4300/21/5/481 |
| work_keys_str_mv | AT zhonghuili synchronizationoffractionalordercomplexchaoticsystemsbasedonobservers AT tongshuixia synchronizationoffractionalordercomplexchaoticsystemsbasedonobservers AT cuimeijiang synchronizationoffractionalordercomplexchaoticsystemsbasedonobservers |