Dynamic Equivalence of Control Systems and Infinite Permutation Matrices

To each dynamic equivalence of two control systems is associated an infinite permutation matrix. We investigate how such matrices are related to the existence of dynamic equivalences.

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2019
Main Authors: Clelland, J.N., Hu, Y., Stackpole, M.W.
Format: Article
Language:English
Published: Інститут математики НАН України 2019
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210232
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Dynamic Equivalence of Control Systems and Infinite Permutation Matrices / J.N. Clelland, Y. Hu, M.W. Stackpole // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 14 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Clelland, J.N.
Hu, Y.
Stackpole, M.W.
author_facet Clelland, J.N.
Hu, Y.
Stackpole, M.W.
citation_txt Dynamic Equivalence of Control Systems and Infinite Permutation Matrices / J.N. Clelland, Y. Hu, M.W. Stackpole // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 14 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description To each dynamic equivalence of two control systems is associated an infinite permutation matrix. We investigate how such matrices are related to the existence of dynamic equivalences.
first_indexed 2025-12-07T21:24:50Z
format Article
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id nasplib_isofts_kiev_ua-123456789-210232
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-12-07T21:24:50Z
publishDate 2019
publisher Інститут математики НАН України
record_format dspace
spelling Clelland, J.N.
Hu, Y.
Stackpole, M.W.
2025-12-04T13:04:46Z
2019
Dynamic Equivalence of Control Systems and Infinite Permutation Matrices / J.N. Clelland, Y. Hu, M.W. Stackpole // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 14 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 34H05; 58A15; 58A17
arXiv: 1902.00598
https://nasplib.isofts.kiev.ua/handle/123456789/210232
https://doi.org/10.3842/SIGMA.2019.063
To each dynamic equivalence of two control systems is associated an infinite permutation matrix. We investigate how such matrices are related to the existence of dynamic equivalences.
We would like to thank our referees for their careful reading of the manuscript and helpful comments that led to considerable improvement of this article. The first and third authors were supported in part by NSF grant DMS-1206272. The first author was supported in part by a Collaboration Grant for Mathematicians from the Simons Foundation.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Dynamic Equivalence of Control Systems and Infinite Permutation Matrices
Article
published earlier
spellingShingle Dynamic Equivalence of Control Systems and Infinite Permutation Matrices
Clelland, J.N.
Hu, Y.
Stackpole, M.W.
title Dynamic Equivalence of Control Systems and Infinite Permutation Matrices
title_full Dynamic Equivalence of Control Systems and Infinite Permutation Matrices
title_fullStr Dynamic Equivalence of Control Systems and Infinite Permutation Matrices
title_full_unstemmed Dynamic Equivalence of Control Systems and Infinite Permutation Matrices
title_short Dynamic Equivalence of Control Systems and Infinite Permutation Matrices
title_sort dynamic equivalence of control systems and infinite permutation matrices
url https://nasplib.isofts.kiev.ua/handle/123456789/210232
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AT huy dynamicequivalenceofcontrolsystemsandinfinitepermutationmatrices
AT stackpolemw dynamicequivalenceofcontrolsystemsandinfinitepermutationmatrices