The Order of minimal realization of Jordan canonical form systems

The Order of minimal realization of Jordan canonical form systems

This paper presents a new method based on controllability and observability of Jordan canonical form systems useful in determining the order of minimal realization. Since any standard system is equivalent to a Jordan canonical form system, this method is applicable to any standard system.

Bibliographic Details
Main Authors: Kameleh Nassiri Pirbazari, Mehdi Azari
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2018-07-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
Standard systems
Minimal realization
Jordan canonical form
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/23030
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spelling doaj-a0589bd6f1e54de5a0ee0156a070274d2020-11-24T23:31:18ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882018-07-01363818810.5269/bspm.v36i3.2303015673The Order of minimal realization of Jordan canonical form systemsKameleh Nassiri Pirbazari0Mehdi Azari1University of GuilanUniversity of GuilanThis paper presents a new method based on controllability and observability of Jordan canonical form systems useful in determining the order of minimal realization. Since any standard system is equivalent to a Jordan canonical form system, this method is applicable to any standard system.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/23030Standard systemsMinimal realizationJordan canonical form
collection DOAJ
language English
format Article
sources DOAJ
author Kameleh Nassiri Pirbazari
Mehdi Azari
spellingShingle Kameleh Nassiri Pirbazari
Mehdi Azari
The Order of minimal realization of Jordan canonical form systems
Boletim da Sociedade Paranaense de Matemática
Standard systems
Minimal realization
Jordan canonical form
author_facet Kameleh Nassiri Pirbazari
Mehdi Azari
author_sort Kameleh Nassiri Pirbazari
title The Order of minimal realization of Jordan canonical form systems
title_short The Order of minimal realization of Jordan canonical form systems
title_full The Order of minimal realization of Jordan canonical form systems
title_fullStr The Order of minimal realization of Jordan canonical form systems
title_full_unstemmed The Order of minimal realization of Jordan canonical form systems
title_sort order of minimal realization of jordan canonical form systems
publisher Sociedade Brasileira de Matemática
series Boletim da Sociedade Paranaense de Matemática
issn 0037-8712
2175-1188
publishDate 2018-07-01
description This paper presents a new method based on controllability and observability of Jordan canonical form systems useful in determining the order of minimal realization. Since any standard system is equivalent to a Jordan canonical form system, this method is applicable to any standard system.
topic Standard systems
Minimal realization
Jordan canonical form
url http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/23030
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