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Discrete-time positive periodic systems with state and control constraints

Bibliographic Details
Main Author: Rami, Mustapha Ait
Publication Date: 2016
Other Authors: Napp, Diego
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/16199
Summary: The aim of this paper is to provide an efficient control design technique for discrete-time positive periodic systems. In particular, stability, positivity and periodic invariance of such systems are studied. Moreover, the concept of periodic invariance with respect to a collection of boxes is introduced and investigated with connection to stability. It is shown how such concept can be used for deriving a stabilizing state-feedback control that maintains the positivity of the closed-loop system and respects states and control signals constraints. In addition, all the proposed results can be efficiently solved in terms of linear programming.
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spelling Discrete-time positive periodic systems with state and control constraintsApproximation methodsAsymptotic stabilityClosed loop systemsLinear systemsStability analysisThe aim of this paper is to provide an efficient control design technique for discrete-time positive periodic systems. In particular, stability, positivity and periodic invariance of such systems are studied. Moreover, the concept of periodic invariance with respect to a collection of boxes is introduced and investigated with connection to stability. It is shown how such concept can be used for deriving a stabilizing state-feedback control that maintains the positivity of the closed-loop system and respects states and control signals constraints. In addition, all the proposed results can be efficiently solved in terms of linear programming.IEEE2016-10-19T11:14:31Z2016-01-01T00:00:00Z2016-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/16199eng0018-928610.1109/TAC.2015.2438428Rami, Mustapha AitNapp, Diegoinfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T03:55:45Zoai:ria.ua.pt:10773/16199Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:51:19.831612Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Discrete-time positive periodic systems with state and control constraints
title Discrete-time positive periodic systems with state and control constraints
spellingShingle Discrete-time positive periodic systems with state and control constraints
Rami, Mustapha Ait
Approximation methods
Asymptotic stability
Closed loop systems
Linear systems
Stability analysis
title_short Discrete-time positive periodic systems with state and control constraints
title_full Discrete-time positive periodic systems with state and control constraints
title_fullStr Discrete-time positive periodic systems with state and control constraints
title_full_unstemmed Discrete-time positive periodic systems with state and control constraints
title_sort Discrete-time positive periodic systems with state and control constraints
author Rami, Mustapha Ait
author_facet Rami, Mustapha Ait
Napp, Diego
author_role author
author2 Napp, Diego
author2_role author
dc.contributor.author.fl_str_mv Rami, Mustapha Ait
Napp, Diego
dc.subject.por.fl_str_mv Approximation methods
Asymptotic stability
Closed loop systems
Linear systems
Stability analysis
topic Approximation methods
Asymptotic stability
Closed loop systems
Linear systems
Stability analysis
description The aim of this paper is to provide an efficient control design technique for discrete-time positive periodic systems. In particular, stability, positivity and periodic invariance of such systems are studied. Moreover, the concept of periodic invariance with respect to a collection of boxes is introduced and investigated with connection to stability. It is shown how such concept can be used for deriving a stabilizing state-feedback control that maintains the positivity of the closed-loop system and respects states and control signals constraints. In addition, all the proposed results can be efficiently solved in terms of linear programming.
publishDate 2016
dc.date.none.fl_str_mv 2016-10-19T11:14:31Z
2016-01-01T00:00:00Z
2016-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/16199
url http://hdl.handle.net/10773/16199
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0018-9286
10.1109/TAC.2015.2438428
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IEEE
publisher.none.fl_str_mv IEEE
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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