Impulsive synchronization of fractional-order complex-variable dynamical network
Abstract The impulsive synchronization of a fractional-order complex-variable network is investigated. Firstly, static impulsive controllers are designed and the corresponding synchronization criteria are derived. From the criteria, the impulsive gains can be calculated. Secondly, adaptive impulsive...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-08-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03501-x |
| _version_ | 1818600042031742976 |
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| author | Yu Xiong Zhaoyan Wu |
| author_facet | Yu Xiong Zhaoyan Wu |
| author_sort | Yu Xiong |
| collection | DOAJ |
| description | Abstract The impulsive synchronization of a fractional-order complex-variable network is investigated. Firstly, static impulsive controllers are designed and the corresponding synchronization criteria are derived. From the criteria, the impulsive gains can be calculated. Secondly, adaptive impulsive controllers are designed. Noticeably, the impulsive gains can be adjusted to the needed values adaptively. Finally, numerical examples are provided to verify the results. |
| first_indexed | 2024-12-16T12:29:11Z |
| format | Article |
| id | doaj.art-e5be45e672e8463aa28487ab914344c9 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-16T12:29:11Z |
| publishDate | 2021-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-e5be45e672e8463aa28487ab914344c92022-12-21T22:31:45ZengSpringerOpenAdvances in Difference Equations1687-18472021-08-012021111310.1186/s13662-021-03501-xImpulsive synchronization of fractional-order complex-variable dynamical networkYu Xiong0Zhaoyan Wu1School of Mathematics and Statistics, Jiangxi Normal UniversitySchool of Mathematics and Statistics, Jiangxi Normal UniversityAbstract The impulsive synchronization of a fractional-order complex-variable network is investigated. Firstly, static impulsive controllers are designed and the corresponding synchronization criteria are derived. From the criteria, the impulsive gains can be calculated. Secondly, adaptive impulsive controllers are designed. Noticeably, the impulsive gains can be adjusted to the needed values adaptively. Finally, numerical examples are provided to verify the results.https://doi.org/10.1186/s13662-021-03501-xSynchronizationComplex variableFractional-order networkImpulsive control |
| spellingShingle | Yu Xiong Zhaoyan Wu Impulsive synchronization of fractional-order complex-variable dynamical network Advances in Difference Equations Synchronization Complex variable Fractional-order network Impulsive control |
| title | Impulsive synchronization of fractional-order complex-variable dynamical network |
| title_full | Impulsive synchronization of fractional-order complex-variable dynamical network |
| title_fullStr | Impulsive synchronization of fractional-order complex-variable dynamical network |
| title_full_unstemmed | Impulsive synchronization of fractional-order complex-variable dynamical network |
| title_short | Impulsive synchronization of fractional-order complex-variable dynamical network |
| title_sort | impulsive synchronization of fractional order complex variable dynamical network |
| topic | Synchronization Complex variable Fractional-order network Impulsive control |
| url | https://doi.org/10.1186/s13662-021-03501-x |
| work_keys_str_mv | AT yuxiong impulsivesynchronizationoffractionalordercomplexvariabledynamicalnetwork AT zhaoyanwu impulsivesynchronizationoffractionalordercomplexvariabledynamicalnetwork |