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Stability and reachability analysis for a controlled heterogeneous population of cells
Author(s) -
Carrère Cécile,
Zidani Hasnaa
Publication year - 2020
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2627
Subject(s) - reachability , stability (learning theory) , population , numerical analysis , computer science , mathematical optimization , reachability problem , mathematics , theoretical computer science , mathematical analysis , machine learning , demography , sociology
Summary This article is devoted to the study of a controlled population of cells. The modeling of the problem leads to a mathematical formulation of stability and reachability properties of some controlled systems under uncertainties. We use the Hamilton‐Jacobi approach to address these problems and to design a numerical method that we analyze on several numerical simulations.