Group consensus in second-order multi-agent systems with nonlinear dynamics

Hui Leng, Zhaoyan Wu and Yi Zhao
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Hui Leng: School of Science, Harbin Institute of Technology (Shenzhen), Shenzhen 518055, P. R. China
Zhaoyan Wu: #x2020;College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, P. R. China
Yi Zhao: School of Science, Harbin Institute of Technology (Shenzhen), Shenzhen 518055, P. R. China

International Journal of Modern Physics C (IJMPC), 2021, vol. 32, issue 05, 1-16

Abstract: In this paper, group consensus of second-order multi-agent systems with nonlinear dynamics is investigated. First, we design the distributed protocols for achieving group consensus, in which the strengths of the interactions among the agents are enhanced through tuning the coupling strengths. Further, taking the difference of the edges among agents into account, edge-based distributed protocols through tuning coupling weights of a fraction of edges are designed. Remarkably, only the edges of spanning tree in each group are pinned and the coupling strengths or weights of pinned edges are enhanced according to the updated laws. Both the types of distributed protocols are proved analytically and verified by numerical illustrations.

Keywords: Group consensus; distributed protocols; multi-agent systems; second-order; pinning control (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0129183121500716

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