Fixed-Time Synchronization for Different Dimensional Complex Network Systems with Unknown Parameters via Adaptive Control
This article is related to the issue of fixed-time synchronization of different dimensional complex network systems with unknown parameters. Two suitable adaptive controllers and dynamic parameter estimations are proposed such that the complex network driving and response systems can be synchronized...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/6680287 |
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| _version_ | 1832568537523159040 |
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| author | Yude Ji Yunli Gong Shan Su Xiaoxue Bai |
| author_facet | Yude Ji Yunli Gong Shan Su Xiaoxue Bai |
| author_sort | Yude Ji |
| collection | DOAJ |
| description | This article is related to the issue of fixed-time synchronization of different dimensional complex network systems with unknown parameters. Two suitable adaptive controllers and dynamic parameter estimations are proposed such that the complex network driving and response systems can be synchronized in the settling time. Based on fixed-time control theory and Lyapunov functional method, novel sufficient conditions are provided to guarantee the synchronization within the fixed times, and the settling times are explicitly evaluated, which are independent of the initial synchronization errors. Finally, a numerical example is given to illustrate the effectiveness of the proposed control algorithms. |
| format | Article |
| id | doaj-art-f14e7b18bcb2432cbae5b3c145921de9 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-f14e7b18bcb2432cbae5b3c145921de92025-02-03T00:58:58ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/66802876680287Fixed-Time Synchronization for Different Dimensional Complex Network Systems with Unknown Parameters via Adaptive ControlYude Ji0Yunli Gong1Shan Su2Xiaoxue Bai3College of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, Hebei, ChinaCollege of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, Hebei, ChinaCollege of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, Hebei, ChinaCollege of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, Hebei, ChinaThis article is related to the issue of fixed-time synchronization of different dimensional complex network systems with unknown parameters. Two suitable adaptive controllers and dynamic parameter estimations are proposed such that the complex network driving and response systems can be synchronized in the settling time. Based on fixed-time control theory and Lyapunov functional method, novel sufficient conditions are provided to guarantee the synchronization within the fixed times, and the settling times are explicitly evaluated, which are independent of the initial synchronization errors. Finally, a numerical example is given to illustrate the effectiveness of the proposed control algorithms.http://dx.doi.org/10.1155/2021/6680287 |
| spellingShingle | Yude Ji Yunli Gong Shan Su Xiaoxue Bai Fixed-Time Synchronization for Different Dimensional Complex Network Systems with Unknown Parameters via Adaptive Control Complexity |
| title | Fixed-Time Synchronization for Different Dimensional Complex Network Systems with Unknown Parameters via Adaptive Control |
| title_full | Fixed-Time Synchronization for Different Dimensional Complex Network Systems with Unknown Parameters via Adaptive Control |
| title_fullStr | Fixed-Time Synchronization for Different Dimensional Complex Network Systems with Unknown Parameters via Adaptive Control |
| title_full_unstemmed | Fixed-Time Synchronization for Different Dimensional Complex Network Systems with Unknown Parameters via Adaptive Control |
| title_short | Fixed-Time Synchronization for Different Dimensional Complex Network Systems with Unknown Parameters via Adaptive Control |
| title_sort | fixed time synchronization for different dimensional complex network systems with unknown parameters via adaptive control |
| url | http://dx.doi.org/10.1155/2021/6680287 |
| work_keys_str_mv | AT yudeji fixedtimesynchronizationfordifferentdimensionalcomplexnetworksystemswithunknownparametersviaadaptivecontrol AT yunligong fixedtimesynchronizationfordifferentdimensionalcomplexnetworksystemswithunknownparametersviaadaptivecontrol AT shansu fixedtimesynchronizationfordifferentdimensionalcomplexnetworksystemswithunknownparametersviaadaptivecontrol AT xiaoxuebai fixedtimesynchronizationfordifferentdimensionalcomplexnetworksystemswithunknownparametersviaadaptivecontrol |