Output Reachable Set Analysis for Periodic Positive Systems-Reference-Cited by-同舟云学术

Output Reachable Set Analysis for Periodic Positive Systems

Published:2021-11-15 Issue: Volume:2021 Page:1-6
ISSN:1687-0425
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Sitli Ilyas¹^ORCID,Lahmidi Fouad¹^ORCID,Namir Abdelwahed²^ORCID,Naim Mouhcine¹^ORCID

Affiliation:

1. Laboratory of Analysis, Modeling and Simulation, Faculty of Sciences Ben M’sik, Hassan II University, Casablanca, Morocco

2. Laboratory of Information Technology and Modeling, Faculty of Sciences Ben M’sik, Hassan II University, Casablanca, Morocco

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.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2021/8345694.pdf

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