Guilmeau, M. Thomas (2020) Contrôle optimal périodique : Applications à la dépollution de l'eau PFE - Project Graduation, ENSTA.

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Periodic solutions of the chemostat model are studied under integral constraints on the washout rate, aiming at improving average water quality. For the one-species chemostat, an optimal control, which may admit a singular arc, is synthesized for convex-concave growth functions. The optimal trajectories generalize the existing ones for convex and concave growth functions. Then, unicity of periodic positive solutions is considered. In the two-species chemostat, a non-generic counter- example were infinitely many positive periodic solutions exist is constructed. In the one-species gradostat, unicity is proven for a rather broad class of configurations. Contrary to many existing results, this result applies for any monotone growth function.

Item Type:Thesis (PFE - Project Graduation)
Subjects:Mathematics and Applications
ID Code:8209
Deposited By:Thomas Guilmeau
Deposited On:23 sept. 2020 10:39
Dernière modification:23 sept. 2020 10:39

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