Optimal pinning control of directed hypergraphs
Mathematical Physics
2026-03-17 v1 math.MP
Adaptation and Self-Organizing Systems
Abstract
Identifying the nodes that must be directly controlled to steer a network along a desired trajectory remains an open problem for digraphs, and even more so for hypergraphs. In this manuscript, we investigate network systems coupled via directed hypergraphs and consider a broad class of individual dynamics and coupling configurations, extending the definition of type II networks originally formulated for digraphs. For this class of networks with higher-order interactions, we establish necessary and sufficient conditions under which a pinning selection locally ensures successful control. Building on these analytical results, we propose a greedy heuristic for pinning control selection, which demonstrably outperforms existing methods.
Keywords
Cite
@article{arxiv.2603.13881,
title = {Optimal pinning control of directed hypergraphs},
author = {Fabio Della Rossa and Davide Liuzza and Francesco Lo Iudice and Pietro De Lellis},
journal= {arXiv preprint arXiv:2603.13881},
year = {2026}
}