@inproceedings{1120d53a8a314e3a8c2a7540c6518feb,
title = "Cluster Assignment in Multi-Agent Systems",
abstract = "We study cluster assignment in multi-agent networks. We consider homogeneous diffusive networks, and focus on design of the graph that ensures the system will converge to a prescribed cluster configuration, i.e., specifying the number of clusters and agents within each cluster. Leveraging recent results from cluster synthesis, we show that it is possible to design an oriented graph such that the action of the automorphism group of the graph has orbits of predetermined sizes, guaranteeing that the network will converge to the prescribed cluster configuration. We provide upper and lower bounds on the number of edges that are needed to construct these graphs along with a constructive approach for generating these graphs. We support our analysis with some numerical examples.",
keywords = "Clustering, Diffusively-Coupled Systems, Graph Theory, Multi-Agent Systems",
author = "Miel Sharf and Daniel Zelazo",
note = "Publisher Copyright: {\textcopyright} 2022 ACA.; 13th Asian Control Conference, ASCC 2022 ; Conference date: 04-05-2022 Through 07-05-2022",
year = "2022",
doi = "10.23919/ASCC56756.2022.9828091",
language = "الإنجليزيّة",
series = "ASCC 2022 - 2022 13th Asian Control Conference, Proceedings",
pages = "947--952",
booktitle = "ASCC 2022 - 2022 13th Asian Control Conference, Proceedings",
}