Excitation and Measurement Patterns for the Identifiability of Directed Acyclic Graphs
Systems and Control
2022-04-01 v1 Systems and Control
Dynamical Systems
Abstract
This paper deals with the design of Excitation and Measurement Patterns (EMP) for the identification of a class of dynamical networks whose topology has the structure of a Directed Acyclic Graph (DAG). In addition to the by now well known condition that the identifiabiltiy of any dynamical network requires that the sources be excited, the sinks be measured, and all other nodes be either excited or measured, we show that for DAGs two other types of nodes have special excitation and measurement requirements. Armed with this result, we propose a systematic procedure for the design of EMPs that guarantee identifiability of a network with DAG topology.
Keywords
Cite
@article{arxiv.2203.16699,
title = {Excitation and Measurement Patterns for the Identifiability of Directed Acyclic Graphs},
author = {Eduardo Mapurunga and Michel Gevers and Alexandre S. Bazanella},
journal= {arXiv preprint arXiv:2203.16699},
year = {2022}
}
Comments
Submitted to the 61st IEEE Conference on Decision and Control