Boundary Coupling for Consensus of Nonlinear Leaderless Stochastic Multi-Agent Systems Based on PDE-ODEs

Chuanhai Yang, Jin Wang (), Shengfa Miao, Bin Zhao (), Muwei Jian and Chengdong Yang
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Chuanhai Yang: School of Information Science and Engineering, Linyi University, Linyi 276000, China
Jin Wang: School of Information Science and Engineering, Linyi University, Linyi 276000, China
Shengfa Miao: National Pilot School of Software, Yunnan University, Kunming 650504, China
Bin Zhao: School of Information Science and Engineering, Linyi University, Linyi 276000, China
Muwei Jian: School of Information Science and Engineering, Linyi University, Linyi 276000, China
Chengdong Yang: School of Information Science and Engineering, Linyi University, Linyi 276000, China

Mathematics, 2022, vol. 10, issue 21, 1-15

Abstract: 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.

Keywords: stochastic; consensus; boundary coupling; partial differential equations–ordinary differential equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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