Single module identifiability in linear dynamic networks

TL;DR

This paper investigates the conditions under which individual modules within linear dynamic networks can be uniquely identified, extending the concept of network identifiability to single modules using topological properties.

Contribution

It introduces conditions for single module identifiability in linear dynamic networks based on network topology, advancing data-driven modeling of interconnected systems.

Findings

Derived conditions for single module identifiability

Expressed identifiability conditions in terms of network topology

Enhanced understanding of module distinguishability in dynamic networks

Abstract

A recent development in data-driven modelling addresses the problem of identifying dynamic models of interconnected systems, represented as linear dynamic networks. For these networks the notion network identifiability has been introduced recently, which reflects the property that different network models can be distinguished from each other. Network identifiability is extended to cover the uniqueness of a single module in the network model. Conditions for single module identifiability are derived and formulated in terms of path-based topological properties of the network models.