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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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2021/8345694 |
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| _version_ | 1832566360173969408 |
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| author | Ilyas Sitli Fouad Lahmidi Abdelwahed Namir Mouhcine Naim |
| author_facet | Ilyas Sitli Fouad Lahmidi Abdelwahed Namir Mouhcine Naim |
| author_sort | Ilyas Sitli |
| collection | DOAJ |
| 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 |
| id | doaj-art-b0177dbf6d0b469bb2ecf9ebf84a012e |
| institution | Kabale University |
| issn | 1687-0425 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b0177dbf6d0b469bb2ecf9ebf84a012e2025-02-03T01:04:21ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252021-01-01202110.1155/2021/8345694Output Reachable Set Analysis for Periodic Positive SystemsIlyas Sitli0Fouad Lahmidi1Abdelwahed Namir2Mouhcine Naim3Laboratory of AnalysisLaboratory of AnalysisLaboratory of Information Technology and ModelingLaboratory of AnalysisIn 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.http://dx.doi.org/10.1155/2021/8345694 |
| spellingShingle | Ilyas Sitli Fouad Lahmidi Abdelwahed Namir Mouhcine Naim Output Reachable Set Analysis for Periodic Positive Systems International Journal of Mathematics and Mathematical Sciences |
| title | 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_short | Output Reachable Set Analysis for Periodic Positive Systems |
| title_sort | output reachable set analysis for periodic positive systems |
| url | http://dx.doi.org/10.1155/2021/8345694 |
| work_keys_str_mv | AT ilyassitli outputreachablesetanalysisforperiodicpositivesystems AT fouadlahmidi outputreachablesetanalysisforperiodicpositivesystems AT abdelwahednamir outputreachablesetanalysisforperiodicpositivesystems AT mouhcinenaim outputreachablesetanalysisforperiodicpositivesystems |