Consensus dynamics are ubiquitous in control theory, with applications spanning from technological fields to social sciences. In this letter, we evaluate the impact of higher-order, many-body interactions on the ability of the network to attain consensus. Modeling multi-body interactions with circulating directed hypergraphs, we provide for the first time global conditions for average consensus in the presence of time-varying and possibly non-smooth coupling protocols. Our results are then applied to study the effect of homophily in opinion dynamics.
Nonlinear Average Consensus Over Circulating Directed Hypergraphs / Liuzza, D.; Della Rossa, F.; Lo Iudice, F.; De Lellis, P.. - In: IEEE CONTROL SYSTEMS LETTERS. - ISSN 2475-1456. - 9:(2025), pp. 1027-1032. [10.1109/LCSYS.2025.3578920]
Nonlinear Average Consensus Over Circulating Directed Hypergraphs
Liuzza D.;Della Rossa F.;Lo Iudice F.;De Lellis P.
2025
Abstract
Consensus dynamics are ubiquitous in control theory, with applications spanning from technological fields to social sciences. In this letter, we evaluate the impact of higher-order, many-body interactions on the ability of the network to attain consensus. Modeling multi-body interactions with circulating directed hypergraphs, we provide for the first time global conditions for average consensus in the presence of time-varying and possibly non-smooth coupling protocols. Our results are then applied to study the effect of homophily in opinion dynamics.| File | Dimensione | Formato | |
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