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, Davide;
2025-01-01
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 in questo prodotto:
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