Stabilization of Positive Linear Discrete-Time Systems by Using a Brauer's Theorem

The stabilization problem of positive linear discrete-time systems (PLDS) by linear state feedback is considered. A method based on a Brauer's theorem is proposed for solving the problem. It allows us to modify some eigenvalues of the system without changing the rest of them. The problem is stu...

Descripción completa

Detalles Bibliográficos
Autores principales: Cantó, Begoña, Cantó, Rafael, Kostova, Snezhana
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4144301/
https://www.ncbi.nlm.nih.gov/pubmed/25180210
http://dx.doi.org/10.1155/2014/856356
_version_ 1782332038817251328
author Cantó, Begoña
Cantó, Rafael
Kostova, Snezhana
author_facet Cantó, Begoña
Cantó, Rafael
Kostova, Snezhana
author_sort Cantó, Begoña
collection PubMed
description The stabilization problem of positive linear discrete-time systems (PLDS) by linear state feedback is considered. A method based on a Brauer's theorem is proposed for solving the problem. It allows us to modify some eigenvalues of the system without changing the rest of them. The problem is studied for the single-input single-output (SISO) and for multi-input multioutput (MIMO) cases and sufficient conditions for stability and positivity of the closed-loop system are proved. The results are illustrated by numerical examples and the proposed method is used in stochastic systems.
format Online
Article
Text
id pubmed-4144301
institution National Center for Biotechnology Information
language English
publishDate 2014
publisher Hindawi Publishing Corporation
record_format MEDLINE/PubMed
spelling pubmed-41443012014-09-01 Stabilization of Positive Linear Discrete-Time Systems by Using a Brauer's Theorem Cantó, Begoña Cantó, Rafael Kostova, Snezhana ScientificWorldJournal Research Article The stabilization problem of positive linear discrete-time systems (PLDS) by linear state feedback is considered. A method based on a Brauer's theorem is proposed for solving the problem. It allows us to modify some eigenvalues of the system without changing the rest of them. The problem is studied for the single-input single-output (SISO) and for multi-input multioutput (MIMO) cases and sufficient conditions for stability and positivity of the closed-loop system are proved. The results are illustrated by numerical examples and the proposed method is used in stochastic systems. Hindawi Publishing Corporation 2014 2014-08-11 /pmc/articles/PMC4144301/ /pubmed/25180210 http://dx.doi.org/10.1155/2014/856356 Text en Copyright © 2014 Begoña Cantó et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Cantó, Begoña
Cantó, Rafael
Kostova, Snezhana
Stabilization of Positive Linear Discrete-Time Systems by Using a Brauer's Theorem
title Stabilization of Positive Linear Discrete-Time Systems by Using a Brauer's Theorem
title_full Stabilization of Positive Linear Discrete-Time Systems by Using a Brauer's Theorem
title_fullStr Stabilization of Positive Linear Discrete-Time Systems by Using a Brauer's Theorem
title_full_unstemmed Stabilization of Positive Linear Discrete-Time Systems by Using a Brauer's Theorem
title_short Stabilization of Positive Linear Discrete-Time Systems by Using a Brauer's Theorem
title_sort stabilization of positive linear discrete-time systems by using a brauer's theorem
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4144301/
https://www.ncbi.nlm.nih.gov/pubmed/25180210
http://dx.doi.org/10.1155/2014/856356
work_keys_str_mv AT cantobegona stabilizationofpositivelineardiscretetimesystemsbyusingabrauerstheorem
AT cantorafael stabilizationofpositivelineardiscretetimesystemsbyusingabrauerstheorem
AT kostovasnezhana stabilizationofpositivelineardiscretetimesystemsbyusingabrauerstheorem

Ejemplares similares