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Output Reachable Set Analysis for Periodic Positive Systems

Author

Listed:
  • Ilyas Sitli
  • Fouad Lahmidi
  • Abdelwahed Namir
  • Mouhcine Naim

Abstract

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.

Suggested Citation

  • Ilyas Sitli & Fouad Lahmidi & Abdelwahed Namir & Mouhcine Naim, 2021. "Output Reachable Set Analysis for Periodic Positive Systems," International Journal of Mathematics and Mathematical Sciences, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jijmms:v:2021:y:2021:i:1:n:8345694
    DOI: 10.1155/2021/8345694
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    References listed on IDEAS

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    1. L. Caccetta & V.G. Rumchev, 2000. "A Survey of Reachability and Controllability for Positive Linear Systems," Annals of Operations Research, Springer, vol. 98(1), pages 101-122, December.
    2. Yong Chen & James Lam & Jun Shen & Baozhu Du & Panshuo Li, 2018. "Reachable set estimation for switched positive systems," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(11), pages 2341-2352, August.
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