Observing the state of networks with directed higher-order interactions
Systems and Control
2026-05-12 v1 Systems and Control
Abstract
We consider the problem of reconstructing the state of a network of nonlinear dynamical systems in the presence of directed higher-order interactions. Grounded on analytical convergence results, we propose an algorithmic observer design procedure that simultaneously selects the nodes to be measured and the observer gains. We complement the theoretical analysis with an exhaustive numerical investigation campaign that showcases the performance and robustness of the designed observer. Finally, the algorithmic procedure is used to fully reconstruct the opinions of a group of agents.
Cite
@article{arxiv.2605.10489,
title = {Observing the state of networks with directed higher-order interactions},
author = {Roberto Rizzello and Davide Salzano and Stefano Boccaletti and Pietro De Lellis},
journal= {arXiv preprint arXiv:2605.10489},
year = {2026}
}