On the Role of Matrix-Weights Elements in Consensus Algorithms for Multi-Agent Systems

Ogbebor, Joshua and Meng, Xiangyu (2021) On the Role of Matrix-Weights Elements in Consensus Algorithms for Multi-Agent Systems. Network, 1 (3). pp. 233-246. ISSN 2673-8732

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Abstract

This paper examines the roles of the matrix weight elements in matrix-weighted consensus. The consensus algorithms dictate that all agents reach consensus when the weighted graph is connected. However, it is not always the case for matrix weighted graphs. The conditions leading to different types of consensus have been extensively analysed based on the properties of matrix-weighted Laplacians and graph theoretic methods. However, in practice, there is concern on how to pick matrix-weights to achieve some desired consensus, or how the change of elements in matrix weights affects the consensus algorithm. By selecting the elements in the matrix weights, different clusters may be possible. In this paper, we map the roles of the elements of the matrix weights in the systems consensus algorithm. We explore the choice of matrix weights to achieve different types of consensus and clustering. Our results are demonstrated on a network of three agents where each agent has three states.

Item Type: Article
Subjects: Souths Book > Computer Science
Depositing User: Unnamed user with email support@southsbook.com
Date Deposited: 05 Jul 2023 04:44
Last Modified: 24 Sep 2024 12:16
URI: http://research.europeanlibrarypress.com/id/eprint/1159

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