Combinatorial Characterization for Global Identifiability of Separable Networks with Partial Excitation and Measurement

Antoine Legat; Julien M. Hendrickx

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arXiv · 2309.14892

Combinatorial Characterization for Global Identifiability of Separable Networks with Partial Excitation and Measurement

Antoine Legat·Julien M. Hendrickx

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Abstract

This work focuses on the generic identifiability of dynamical networks with partial excitation and measurement: a set of nodes are interconnected by transfer functions according to a known topology, some nodes are excited, some are measured, and only a part of the transfer functions are known. Our goal is to determine whether the unknown transfer functions can be generically recovered based on the input-output data collected from the excited and measured nodes. We introduce the notion of separable networks, for which global and so-called local identifiability are equivalent. A novel approach yields a necessary and sufficient combinatorial characterization for local identifiability for such graphs, in terms of existence of paths and conditions on their parity. Furthermore, this yields a necessary condition not only for separable networks, but for networks of any topology.

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BibTeX RIS

Antoine Legat, Julien M. Hendrickx. 2023-09-26. Combinatorial Characterization for Global Identifiability of Separable Networks with Partial Excitation and Measurement. https://arxiv.org/abs/2309.14892

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