首页|Nonlinear Average Consensus Over Circulating Directed Hypergraphs

Nonlinear Average Consensus Over Circulating Directed Hypergraphs

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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.

ProtocolsCouplingsVectorsSymmetric matricesTrainingData miningBattery charge measurementArtificial intelligenceStandardsSocial sciences

Davide Liuzza、Fabio Della Rossa、Francesco Lo Iudice、Pietro De Lellis

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Department of Engineering, University of Sannio, Benevento, Italy|Nuclear Department, ENEA, Frascati (Rome), Italy

Department of Electronics, Information, and Bioengineering, Politecnico di Milano, Milan, Italy

Department of Electrical Engineering and Information Technology, University of Naples Federico II, Naples, Italy

2025

10.1109/LCSYS.2025.3578920

IEEE Control Systems Letters

IEEE Control Systems Letters

ISSN：
年,卷(期)：2025.9(1)
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