Distinguishability conditions for stationary linear systems
type: Item
instance of: scholarly article
title: Distinguishability conditions for stationary linear systems
zbMATH Open document ID: 1065.93011
DOI: 10.1023/A:1025117418970
author: A. A. Lomov
published in: Differential Equations
publication date: 2005-03-15T00:00:00Z
review text: Vector ARMA models are considered where the coefficient matrices are functions of the same parameter vector within a given subset of the \(n\)-dimensional real vector space. Distinguishability is introduced as a necessary condition for the identifiability of parameters and is rigorously defined; its interpretation is related to the equivalence of parameters giving rise to the same input/output pairs in time. Then, necessary and sufficient conditions are given for local and global distinguishability.
reviewed by: Edwin Engin Yaz
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 93B15
zbMATH DE Number: 2146341
zbMATH Keywords: system identification
zbMATH Keywords: realizations from input-output data
zbMATH Keywords: ARMA models
zbMATH Keywords: identifiability
zbMATH Keywords: equivalence of parameters
zbMATH Keywords: distinguishability
MaRDI profile type: Publication
full work available at URL: a:1025117418970
OpenAlex ID: W20985424
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description: scientific article; zbMATH DE number 2146341