Adaptive Control for Multi-Agent Systems Governed by Fractional-Order Space-Varying Partial Integro-Differential Equations
This paper investigates a class of multi-agent systems (MASs) governed by nonlinear fractional-order space-varying partial integro-differential equations (SVPIDEs), which incorporate both nonlinear state terms and integro terms. Firstly, a distributed adaptive control protocol is developed for leade...
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| Format: | Article |
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MDPI AG
2024-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/13/1/112 |
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| author | Zhen Liu Yingying Wen Bin Zhao Chengdong Yang |
| author_facet | Zhen Liu Yingying Wen Bin Zhao Chengdong Yang |
| author_sort | Zhen Liu |
| collection | DOAJ |
| description | This paper investigates a class of multi-agent systems (MASs) governed by nonlinear fractional-order space-varying partial integro-differential equations (SVPIDEs), which incorporate both nonlinear state terms and integro terms. Firstly, a distributed adaptive control protocol is developed for leaderless fractional-order SVPIDE-based MASs, aiming to achieve consensus among all agents without a leader. Then, for leader-following fractional-order SVPIDE-based MASs, the protocol is extended to account for communication between the leader and follower agents, ensuring that the followers reach consensus with the leader. Finally, three examples are presented to illustrate the effectiveness of the proposed distributed adaptive control protocols. |
| format | Article |
| id | doaj-art-93cae2f37da543b292ea3304eb5c8438 |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-93cae2f37da543b292ea3304eb5c84382025-01-10T13:18:17ZengMDPI AGMathematics2227-73902024-12-0113111210.3390/math13010112Adaptive Control for Multi-Agent Systems Governed by Fractional-Order Space-Varying Partial Integro-Differential EquationsZhen Liu0Yingying Wen1Bin Zhao2Chengdong Yang3School of Information Science and Engineering, Linyi University, Linyi 276005, ChinaSchool of Information Science and Engineering, Linyi University, Linyi 276005, ChinaSchool of Information Science and Engineering, Linyi University, Linyi 276005, ChinaSchool of Information Science and Engineering, Linyi University, Linyi 276005, ChinaThis paper investigates a class of multi-agent systems (MASs) governed by nonlinear fractional-order space-varying partial integro-differential equations (SVPIDEs), which incorporate both nonlinear state terms and integro terms. Firstly, a distributed adaptive control protocol is developed for leaderless fractional-order SVPIDE-based MASs, aiming to achieve consensus among all agents without a leader. Then, for leader-following fractional-order SVPIDE-based MASs, the protocol is extended to account for communication between the leader and follower agents, ensuring that the followers reach consensus with the leader. Finally, three examples are presented to illustrate the effectiveness of the proposed distributed adaptive control protocols.https://www.mdpi.com/2227-7390/13/1/112multi-agent systemadaptive controllerpartial integro-differential equationsconsensus |
| spellingShingle | Zhen Liu Yingying Wen Bin Zhao Chengdong Yang Adaptive Control for Multi-Agent Systems Governed by Fractional-Order Space-Varying Partial Integro-Differential Equations Mathematics multi-agent system adaptive controller partial integro-differential equations consensus |
| title | Adaptive Control for Multi-Agent Systems Governed by Fractional-Order Space-Varying Partial Integro-Differential Equations |
| title_full | Adaptive Control for Multi-Agent Systems Governed by Fractional-Order Space-Varying Partial Integro-Differential Equations |
| title_fullStr | Adaptive Control for Multi-Agent Systems Governed by Fractional-Order Space-Varying Partial Integro-Differential Equations |
| title_full_unstemmed | Adaptive Control for Multi-Agent Systems Governed by Fractional-Order Space-Varying Partial Integro-Differential Equations |
| title_short | Adaptive Control for Multi-Agent Systems Governed by Fractional-Order Space-Varying Partial Integro-Differential Equations |
| title_sort | adaptive control for multi agent systems governed by fractional order space varying partial integro differential equations |
| topic | multi-agent system adaptive controller partial integro-differential equations consensus |
| url | https://www.mdpi.com/2227-7390/13/1/112 |
| work_keys_str_mv | AT zhenliu adaptivecontrolformultiagentsystemsgovernedbyfractionalorderspacevaryingpartialintegrodifferentialequations AT yingyingwen adaptivecontrolformultiagentsystemsgovernedbyfractionalorderspacevaryingpartialintegrodifferentialequations AT binzhao adaptivecontrolformultiagentsystemsgovernedbyfractionalorderspacevaryingpartialintegrodifferentialequations AT chengdongyang adaptivecontrolformultiagentsystemsgovernedbyfractionalorderspacevaryingpartialintegrodifferentialequations |