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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Hindawi Limited
2021
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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) |
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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 |
_version_ |
1718407791644770304 |