Bipartite fixed-time output containment control of heterogeneous linear multi-agent systems
This study researches the bipartite fixed-time output containment control problem of heterogeneous linear MASs with signed digraphs. The leaders' states can be estimated by a designed distributed bipartite compensator. Furthermore, each follower is allocated a time-varying coupling weight, an a...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023373?viewType=HTML |
| _version_ | 1811171081433645056 |
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| author | Zihan Liu Xisheng Zhan Jie Wu Huaicheng Yan |
| author_facet | Zihan Liu Xisheng Zhan Jie Wu Huaicheng Yan |
| author_sort | Zihan Liu |
| collection | DOAJ |
| description | This study researches the bipartite fixed-time output containment control problem of heterogeneous linear MASs with signed digraphs. The leaders' states can be estimated by a designed distributed bipartite compensator. Furthermore, each follower is allocated a time-varying coupling weight, an adaptive bipartite fixed-time protocol is raised which can estimate the leader's system matrix but also the leader's state. On the foundation of control protocols, followers' outputs are included by the convex hull constituted by leaders' outputs. In addition, by utilizing the Lyapunov function theory, some abundant speculative knowledges are deduced to guarantee adaptive bipartite fixed-time output containment of multi-agent systems. Finally, the feasibility of the anticipant theoretical results is verified by a set of simulation examples. |
| first_indexed | 2024-04-10T17:07:25Z |
| format | Article |
| id | doaj.art-7f65d2b2d08141f3987fe6c0b5f90edc |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T17:07:25Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-7f65d2b2d08141f3987fe6c0b5f90edc2023-02-06T01:29:31ZengAIMS PressAIMS Mathematics2473-69882023-01-01837419743610.3934/math.2023373Bipartite fixed-time output containment control of heterogeneous linear multi-agent systemsZihan Liu0Xisheng Zhan1Jie Wu2Huaicheng Yan31. School of Electrical Engineering and Automation, Hubei Normal University, Huangshi, Hubei 435002, China1. School of Electrical Engineering and Automation, Hubei Normal University, Huangshi, Hubei 435002, China1. School of Electrical Engineering and Automation, Hubei Normal University, Huangshi, Hubei 435002, China2. School of Information Science and Engineering, East China University of Science and Technology, Shanghai 200237, ChinaThis study researches the bipartite fixed-time output containment control problem of heterogeneous linear MASs with signed digraphs. The leaders' states can be estimated by a designed distributed bipartite compensator. Furthermore, each follower is allocated a time-varying coupling weight, an adaptive bipartite fixed-time protocol is raised which can estimate the leader's system matrix but also the leader's state. On the foundation of control protocols, followers' outputs are included by the convex hull constituted by leaders' outputs. In addition, by utilizing the Lyapunov function theory, some abundant speculative knowledges are deduced to guarantee adaptive bipartite fixed-time output containment of multi-agent systems. Finally, the feasibility of the anticipant theoretical results is verified by a set of simulation examples.https://www.aimspress.com/article/doi/10.3934/math.2023373?viewType=HTMLadaptive controlmulti-agent systemsantagonistic interactionsbipartite output containmentfixed-time control |
| spellingShingle | Zihan Liu Xisheng Zhan Jie Wu Huaicheng Yan Bipartite fixed-time output containment control of heterogeneous linear multi-agent systems AIMS Mathematics adaptive control multi-agent systems antagonistic interactions bipartite output containment fixed-time control |
| title | Bipartite fixed-time output containment control of heterogeneous linear multi-agent systems |
| title_full | Bipartite fixed-time output containment control of heterogeneous linear multi-agent systems |
| title_fullStr | Bipartite fixed-time output containment control of heterogeneous linear multi-agent systems |
| title_full_unstemmed | Bipartite fixed-time output containment control of heterogeneous linear multi-agent systems |
| title_short | Bipartite fixed-time output containment control of heterogeneous linear multi-agent systems |
| title_sort | bipartite fixed time output containment control of heterogeneous linear multi agent systems |
| topic | adaptive control multi-agent systems antagonistic interactions bipartite output containment fixed-time control |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023373?viewType=HTML |
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