Identifiability of homogeneous systems using the state isomorphism approach
type: Item
instance of: scholarly article
title: Identifiability of homogeneous systems using the state isomorphism approach
zbMATH Open document ID: 1083.93010
author: Ralf Peeters
author: B. Hanzon
published in: Automatica
publication date: 2005-05-12T00:00:00Z
review text: Different aspects of indistinguishability of control systems are studied. On the whole the authors study the class of homogeneous systems, for which, under certain conditions, the local state isomorphism for a pair of indistinguishable parameter vectors is shown to be homogeneous of degree one. For homogeneous polynomial systems, conditions are given under which the local state isomorphism becomes linear. Here, the issue of whether or not the observability rank condition holds at the origin is shown to be of key importance. The scope of the results is discussed and illustrated by a number of worked examples. This demonstrates how the developed theory can be used to investigate global identifiability properties of parameterized model classes.
reviewed by: A. M. Kovalev
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93-01
Mathematics Subject Classification ID: 93B17
Mathematics Subject Classification ID: 93B07
zbMATH DE Number: 2167427
zbMATH Keywords: nonlinear control systems
zbMATH Keywords: distinguishability
zbMATH Keywords: identifiability
zbMATH Keywords: homogeneous systems
zbMATH Keywords: observability rank condition
MaRDI profile type: Publication
full work available at URL: j.automatica.2004.11.019
OpenAlex ID: W2012221574
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DOI: 10.1016/J.AUTOMATICA.2004.11.019
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description: scientific article; zbMATH DE number 2167427