Linear systems, and ARMA- and Fliess models

Linear (dynamical) systems are central objects of study (in linear system theory), and ARMA- and Fliess models are two very important classes of models that are used to represent them. This article is concerned with the question of what is a relation between them (in case of higher dimensions). It i...

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Bibliographic Details
Published inInternational journal of control Vol. 83; no. 10; pp. 2165 - 2180
Main Authors Lomadze, Vakhtang, Khurram Zafar, M.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis Group 01.10.2010
Taylor & Francis
Taylor & Francis Ltd
Subjects
Applied sciences
ARMA-model
behaviour
Computer science; control theory; systems
Control theory. Systems
Exact sciences and technology
Fliess model
linear system
stable isomorphism
Studies
System theory
weak equivalence
ARMA model
Systems theory
Dynamical system
Modeling
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Summary:Linear (dynamical) systems are central objects of study (in linear system theory), and ARMA- and Fliess models are two very important classes of models that are used to represent them. This article is concerned with the question of what is a relation between them (in case of higher dimensions). It is shown that the category of linear systems, the 'weak' category of ARMA-models and the category of Fliess models are equivalent to each other.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179.2010.511273