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Pré-Publication, Document De Travail Année : 2023

INVERSE DESIGN AND BOUNDARY CONTROLLABILITY FOR THE CHROMATOGRAPHY SYSTEM

Résumé

We consider the prototypical example of the 2 × 2 liquid chromatography system and characterize the set of initial data leading to a given attainable profile at t = T. For profiles that are not attainable at time T , we study a non-smooth optimization problem: recovering the initial data that lead as close as possible to the target in the L 2-norm. We then study the system on a bounded domain and use a boundary control to steer its dynamics to a given trajectory. Finally, we implement a suitable finite volumes scheme to illustrate these results and show its numerical convergence. Minor modifications of our arguments apply to the Keyfitz-Kranzer system.
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Dates et versions

hal-04164795 , version 1 (18-07-2023)

Licence

Paternité - Pas d'utilisation commerciale - Pas de modification

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  • HAL Id : hal-04164795 , version 1

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Giuseppe Maria M Coclite, Carlotta Donadello, Nicola de Nitti, Florian Peru. INVERSE DESIGN AND BOUNDARY CONTROLLABILITY FOR THE CHROMATOGRAPHY SYSTEM. 2023. ⟨hal-04164795⟩
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