Model matching under external and input-output equivalence
type: Item
instance of: scholarly article
title: Model matching under external and input-output equivalence
zbMATH Open document ID: 0886.93001
DOI: 10.1007/BF01198060
published in: Circuits, Systems, and Signal Processing
publication date: 1997-09-10T00:00:00Z
review text: Two types of model-matching problems for external models are considered. The first type is about the model-matching of autoregressive systems, and the second type is about finding a controller such that the overall interconnected system is input-output equivalent to a given model. For the first type of model-matching problem, the authors based their study on the theory of behavioral systems and provided necessary conditions for the solvability of the problem. For a special case, the matching problem is completely settled with a constructive algorithm given to determine the solutions. For the second type of model-matching problem, several necessary conditions for the solvability are provided, which turned out to be sufficient conditions for a special case where certain conditions are satisfied.
Mathematics Subject Classification ID: 93A30
Mathematics Subject Classification ID: 93A99
zbMATH DE Number: 1059961
zbMATH Keywords: transfer equivalence
zbMATH Keywords: Smith zero
zbMATH Keywords: autoregressive systems
zbMATH Keywords: behavioral systems
zbMATH Keywords: model-matching
author: Dimitris Vafiadis
author: Nicos Karcanias
reviewed by: Jeffrey Forrest
MaRDI profile type: Publication
cites work: Minimal representations of implicit linear systems
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cites work: Input-output and state-space representations of finite-dimensional linear time-invariant systems
cites work: Paradigms and puzzles in the theory of dynamical systems
full work available at URL: https://doi.org/10.1007/bf01198060
OpenAlex ID: W1999931865
description: scientific article; zbMATH DE number 1059961