Stability and Reachability analysis for a controlled heterogeneous population of cells

Cécile Carrère and Hasnaa Zidani
2020
Publication type:
Paper in peer-reviewed journals
Journal:
Optimal Control, Applications & Methods, vol. 41(5), pp. 1678--1704
Abstract:
This paper is devoted to the study of a controlled population of cells. The modelling of the problem leads to a mathematical formulation of stability and reachability properties of some controlled systems under uncertainties. We use the Hamilton-Jacobi (HJ) approach to address theses problems and to design a numerical method that we analyse on several numerical simulations.
BibTeX:
@article{Car-Zid-2020,
    author={Cécile Carrère and Hasnaa Zidani },
    title={Stability and Reachability analysis for a controlled 
           heterogeneous population of cells },
    doi={10.1002/oca.2627 },
    journal={Optimal Control, Applications & Methods },
    year={2020 },
    volume={41(5) },
    pages={1678--1704},
}