Cluster Synchronization in Variable-Order Fractional Community Network via Intermittent Control
In this paper, the cluster synchronization of a variable-order fractional community network with nonidentical dynamics is investigated. For achieving the cluster synchronization, intermittent controllers are designed, and the sufficient conditions with respect to system parameters, intermittent cont...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/20/2596 |
| _version_ | 1797513978136494080 |
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| author | Yi Wang Zhaoyan Wu |
| author_facet | Yi Wang Zhaoyan Wu |
| author_sort | Yi Wang |
| collection | DOAJ |
| description | In this paper, the cluster synchronization of a variable-order fractional community network with nonidentical dynamics is investigated. For achieving the cluster synchronization, intermittent controllers are designed, and the sufficient conditions with respect to system parameters, intermittent control instants and control gains are derived based on stability theory of fractional-order system and linear matrix inequalities (LMIs). To avoid verifying the LMIs, a corresponding simple corollary is provided. Finally, a numerical example is performed to verify the derived result. |
| first_indexed | 2024-03-10T06:25:09Z |
| format | Article |
| id | doaj.art-a1b7f8de7b684a15af04961defcf741a |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T06:25:09Z |
| publishDate | 2021-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-a1b7f8de7b684a15af04961defcf741a2023-11-22T19:02:25ZengMDPI AGMathematics2227-73902021-10-01920259610.3390/math9202596Cluster Synchronization in Variable-Order Fractional Community Network via Intermittent ControlYi Wang0Zhaoyan Wu1School of Mathematics and Statistic, Jiangxi Normal University, Nanchang 330022, ChinaSchool of Mathematics and Statistic, Jiangxi Normal University, Nanchang 330022, ChinaIn this paper, the cluster synchronization of a variable-order fractional community network with nonidentical dynamics is investigated. For achieving the cluster synchronization, intermittent controllers are designed, and the sufficient conditions with respect to system parameters, intermittent control instants and control gains are derived based on stability theory of fractional-order system and linear matrix inequalities (LMIs). To avoid verifying the LMIs, a corresponding simple corollary is provided. Finally, a numerical example is performed to verify the derived result.https://www.mdpi.com/2227-7390/9/20/2596cluster synchronizationvariable-order fractional systemcommunity networkintermittent control |
| spellingShingle | Yi Wang Zhaoyan Wu Cluster Synchronization in Variable-Order Fractional Community Network via Intermittent Control Mathematics cluster synchronization variable-order fractional system community network intermittent control |
| title | Cluster Synchronization in Variable-Order Fractional Community Network via Intermittent Control |
| title_full | Cluster Synchronization in Variable-Order Fractional Community Network via Intermittent Control |
| title_fullStr | Cluster Synchronization in Variable-Order Fractional Community Network via Intermittent Control |
| title_full_unstemmed | Cluster Synchronization in Variable-Order Fractional Community Network via Intermittent Control |
| title_short | Cluster Synchronization in Variable-Order Fractional Community Network via Intermittent Control |
| title_sort | cluster synchronization in variable order fractional community network via intermittent control |
| topic | cluster synchronization variable-order fractional system community network intermittent control |
| url | https://www.mdpi.com/2227-7390/9/20/2596 |
| work_keys_str_mv | AT yiwang clustersynchronizationinvariableorderfractionalcommunitynetworkviaintermittentcontrol AT zhaoyanwu clustersynchronizationinvariableorderfractionalcommunitynetworkviaintermittentcontrol |