On minimal realizations and minimal partial realizations of linear time-invariant systems subject to point incommensurate delays
type: Item
instance of: scholarly article
title: On minimal realizations and minimal partial realizations of linear time-invariant systems subject to point incommensurate delays
zbMATH Open document ID: 1151.93011
DOI: 10.1155/2008/790530
published in: Mathematical Problems in Engineering
publication date: 2008-11-24T00:00:00Z
full work available at URL: https://eudml.org/doc/54842
review text: Summary: This paper investigates key aspects of realization and partial realization theories for linear time-invariant systems being subject to a set of incommensurate internal and external point delays. The results are obtained based on the use of formal Laurent expansions whose coefficients are polynomial matrices of appropriate orders and which are also appropriately related to truncated and infinite block Hankel matrices. The above-mentioned polynomial matrices arise in a natural way from the transcendent equations associated with the delayed dynamics. The results are linked to the properties of controllability and observability of dynamic systems. Some related overview is given related to robustness concerned with keeping the realization properties under mismatching between a current transfer matrix and a nominal one.
Mathematics Subject Classification ID: 93B15
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 93B35
zbMATH DE Number: 5372466
zbMATH Keywords: realization and partial realization theories
zbMATH Keywords: linear time-invariant systems
zbMATH Keywords: Laurent expansions
zbMATH Keywords: controllability and observability of dynamic systems
zbMATH Keywords: robustness
Wikidata QID: Q57675386
author: M. De la Sen
MaRDI profile type: Publication
OpenAlex ID: W2095848363
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description: scientific article; zbMATH DE number 5372466