International Journal of Mathematics and Mathematical Sciences (Jan 2021)

Output Reachable Set Analysis for Periodic Positive Systems

  • Ilyas Sitli,
  • Fouad Lahmidi,
  • Abdelwahed Namir,
  • Mouhcine Naim

DOI
https://doi.org/10.1155/2021/8345694
Journal volume & issue
Vol. 2021

Abstract

Read online

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.