Output Reachable Set Analysis for Periodic Positive Systems

In this study, we use the union of the bounding hyperpyramids to estimate the output reachable set for periodic positive systems under two classes of exogenous disturbances. Optimization algorithms are used to obtain the smallest bounding hyperpyramids possible. Finally, numerical examples are given...

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Autores principales: Ilyas Sitli, Fouad Lahmidi, Abdelwahed Namir, Mouhcine Naim
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Lenguaje:EN
Publicado: Hindawi Limited 2021
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Acceso en línea:https://doaj.org/article/b0177dbf6d0b469bb2ecf9ebf84a012e
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spelling oai:doaj.org-article:b0177dbf6d0b469bb2ecf9ebf84a012e2021-11-29T00:55:34ZOutput Reachable Set Analysis for Periodic Positive Systems1687-042510.1155/2021/8345694https://doaj.org/article/b0177dbf6d0b469bb2ecf9ebf84a012e2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/8345694https://doaj.org/toc/1687-0425In this study, we use the union of the bounding hyperpyramids to estimate the output reachable set for periodic positive systems under two classes of exogenous disturbances. Optimization algorithms are used to obtain the smallest bounding hyperpyramids possible. Finally, numerical examples are given to verify the theoretical results.Ilyas SitliFouad LahmidiAbdelwahed NamirMouhcine NaimHindawi LimitedarticleMathematicsQA1-939ENInternational Journal of Mathematics and Mathematical Sciences, Vol 2021 (2021)
institution DOAJ
collection DOAJ
language EN
topic Mathematics
QA1-939
spellingShingle Mathematics
QA1-939
Ilyas Sitli
Fouad Lahmidi
Abdelwahed Namir
Mouhcine Naim
Output Reachable Set Analysis for Periodic Positive Systems
description In this study, we use the union of the bounding hyperpyramids to estimate the output reachable set for periodic positive systems under two classes of exogenous disturbances. Optimization algorithms are used to obtain the smallest bounding hyperpyramids possible. Finally, numerical examples are given to verify the theoretical results.
format article
author Ilyas Sitli
Fouad Lahmidi
Abdelwahed Namir
Mouhcine Naim
author_facet Ilyas Sitli
Fouad Lahmidi
Abdelwahed Namir
Mouhcine Naim
author_sort Ilyas Sitli
title Output Reachable Set Analysis for Periodic Positive Systems
title_short Output Reachable Set Analysis for Periodic Positive Systems
title_full Output Reachable Set Analysis for Periodic Positive Systems
title_fullStr Output Reachable Set Analysis for Periodic Positive Systems
title_full_unstemmed Output Reachable Set Analysis for Periodic Positive Systems
title_sort output reachable set analysis for periodic positive systems
publisher Hindawi Limited
publishDate 2021
url https://doaj.org/article/b0177dbf6d0b469bb2ecf9ebf84a012e
work_keys_str_mv AT ilyassitli outputreachablesetanalysisforperiodicpositivesystems
AT fouadlahmidi outputreachablesetanalysisforperiodicpositivesystems
AT abdelwahednamir outputreachablesetanalysisforperiodicpositivesystems
AT mouhcinenaim outputreachablesetanalysisforperiodicpositivesystems
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