Optimal pinning control of directed hypergraphs
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912966099599360 |
|---|---|
| author | Della Rossa, Fabio Liuzza, Davide Iudice, Francesco Lo De Lellis, Pietro |
| author_facet | Della Rossa, Fabio Liuzza, Davide Iudice, Francesco Lo De Lellis, Pietro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_13881 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Optimal pinning control of directed hypergraphs Della Rossa, Fabio Liuzza, Davide Iudice, Francesco Lo De Lellis, Pietro Mathematical Physics Adaptation and Self-Organizing Systems 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. |
| title | Optimal pinning control of directed hypergraphs |
| topic | Mathematical Physics Adaptation and Self-Organizing Systems |
| url | https://arxiv.org/abs/2603.13881 |