Informativity and Identifiability for Identification of Networks of Dynamical Systems
Systems and Control
2026-02-27 v2 Systems and Control
Abstract
In this paper, we show how informativity and identifiability for networks of dynamical systems can be investigated using Gr\"obner bases. We provide a sufficient condition for informativity in terms of positive definiteness of the spectrum of external signals and full generic rank of the transfer function relating the external signals to the inputs of the predictor. Moreover, we show how generic local network identifiability can be investigated by computing the dimension of the fiber associated with the closed loop transfer function from external measurable signals to the measured outputs.
Cite
@article{arxiv.2602.20107,
title = {Informativity and Identifiability for Identification of Networks of Dynamical Systems},
author = {Anders Hansson and João Victor Galvão da Mata and Martin S. Andersen},
journal= {arXiv preprint arXiv:2602.20107},
year = {2026}
}
Comments
Submitted to IEEE TAC