Résumé
This paper is devoted to the application of the input/state-invariant linear quadratic (LQ) problem in order to solve the problem of coexistence of species in competition in a chemostat. The methodology that is used has for objective to guarantee the local positive input/state-invariance of the nonlinear system which describes the chemostat model by ensuring the input/stateinvariance of its linear approximation around an equilibrium. This is achieved by applying an appropriate LQ-optimal control to the system, following two different approaches, namely a receding horizon method and an inverse problem approach.
langue originale | Anglais |
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Pages (de - à) | 143-158 |
Nombre de pages | 16 |
journal | Evolution Equations and Control Theory |
Volume | 4 |
Numéro de publication | 2 |
Les DOIs | |
Etat de la publication | Publié - 1 janv. 2015 |