Boundary Coupling for Consensus of Nonlinear Leaderless Stochastic Multi-Agent Systems Based on PDE-ODEs
This paper studies the leaderless consensus of the stochastic multi-agent systems based on partial differential equations–ordinary differential equations (PDE-ODEs). Compared with the traditional state coupling, the most significant difference between this paper is that the space state coupling is d...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-11-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/21/4111 |
| _version_ | 1797467334791659520 |
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| author | Chuanhai Yang Jin Wang Shengfa Miao Bin Zhao Muwei Jian Chengdong Yang |
| author_facet | Chuanhai Yang Jin Wang Shengfa Miao Bin Zhao Muwei Jian Chengdong Yang |
| author_sort | Chuanhai Yang |
| collection | DOAJ |
| description | This paper studies the leaderless consensus of the stochastic multi-agent systems based on partial differential equations–ordinary differential equations (PDE-ODEs). Compared with the traditional state coupling, the most significant difference between this paper is that the space state coupling is designed. Two boundary couplings are investigated in this article, respectively, collocated boundary measurement and distributed boundary measurement. Using the Lyapunov directed method, sufficient conditions for the stochastic multi-agent system to achieve consensus can be obtained. Finally, two simulation examples show the feasibility of the proposed spatial boundary couplings. |
| first_indexed | 2024-03-09T18:52:09Z |
| format | Article |
| id | doaj.art-ad84b1a77d7b460eb150eeac946e5c51 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T18:52:09Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-ad84b1a77d7b460eb150eeac946e5c512023-11-24T05:45:04ZengMDPI AGMathematics2227-73902022-11-011021411110.3390/math10214111Boundary Coupling for Consensus of Nonlinear Leaderless Stochastic Multi-Agent Systems Based on PDE-ODEsChuanhai Yang0Jin Wang1Shengfa Miao2Bin Zhao3Muwei Jian4Chengdong Yang5School of Information Science and Engineering, Linyi University, Linyi 276000, ChinaSchool of Information Science and Engineering, Linyi University, Linyi 276000, ChinaNational Pilot School of Software, Yunnan University, Kunming 650504, ChinaSchool of Information Science and Engineering, Linyi University, Linyi 276000, ChinaSchool of Information Science and Engineering, Linyi University, Linyi 276000, ChinaSchool of Information Science and Engineering, Linyi University, Linyi 276000, ChinaThis paper studies the leaderless consensus of the stochastic multi-agent systems based on partial differential equations–ordinary differential equations (PDE-ODEs). Compared with the traditional state coupling, the most significant difference between this paper is that the space state coupling is designed. Two boundary couplings are investigated in this article, respectively, collocated boundary measurement and distributed boundary measurement. Using the Lyapunov directed method, sufficient conditions for the stochastic multi-agent system to achieve consensus can be obtained. Finally, two simulation examples show the feasibility of the proposed spatial boundary couplings.https://www.mdpi.com/2227-7390/10/21/4111stochasticconsensusboundary couplingpartial differential equations–ordinary differential equations |
| spellingShingle | Chuanhai Yang Jin Wang Shengfa Miao Bin Zhao Muwei Jian Chengdong Yang Boundary Coupling for Consensus of Nonlinear Leaderless Stochastic Multi-Agent Systems Based on PDE-ODEs Mathematics stochastic consensus boundary coupling partial differential equations–ordinary differential equations |
| title | Boundary Coupling for Consensus of Nonlinear Leaderless Stochastic Multi-Agent Systems Based on PDE-ODEs |
| title_full | Boundary Coupling for Consensus of Nonlinear Leaderless Stochastic Multi-Agent Systems Based on PDE-ODEs |
| title_fullStr | Boundary Coupling for Consensus of Nonlinear Leaderless Stochastic Multi-Agent Systems Based on PDE-ODEs |
| title_full_unstemmed | Boundary Coupling for Consensus of Nonlinear Leaderless Stochastic Multi-Agent Systems Based on PDE-ODEs |
| title_short | Boundary Coupling for Consensus of Nonlinear Leaderless Stochastic Multi-Agent Systems Based on PDE-ODEs |
| title_sort | boundary coupling for consensus of nonlinear leaderless stochastic multi agent systems based on pde odes |
| topic | stochastic consensus boundary coupling partial differential equations–ordinary differential equations |
| url | https://www.mdpi.com/2227-7390/10/21/4111 |
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