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A linear algorithm for the minimal realization problem in physical coordinates with a non-invertible output matrix.

Authors :
Faccio, Chiara
Marcuzzi, Fabio
Source :
Linear Algebra & its Applications. Jul2022, Vol. 644, p149-171. 23p.
Publication Year :
2022

Abstract

In this paper we present a linear algorithm that estimates some physical parameters of a continuous-time system, described by an analytical mathematical model, when not all the state variables can be measured. The algorithm starts from the well-known subspace methods and applies some linear transformations to recover, at least partially, the estimated model in physical coordinates. Some analytical investigations and numerical experiments are shown for this method, which has general application within linear time-invariant (LTI) dynamical systems. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00243795
Volume :
644
Database :
Academic Search Index
Journal :
Linear Algebra & its Applications
Publication Type :
Academic Journal
Accession number :
156198641
Full Text :
https://doi.org/10.1016/j.laa.2022.02.038