标题：Analysis of an optimal control problem related to microorganisms selection * * The authors thank the “FMJH Program Gaspard Monge in optimization and operation research and the ECOS-SUD project C13E03”, and the Matham-SUD project SOCDE.
摘要：AbstractIn this work, we consider a minimal time control problem governed by a system describing a continuous bioreactor with one substrate, n ≥ 2 species, and a mutation factor. Our aim is to select in minimal time the fastest species i.e. the one for which the half saturation constant is the lowest. In the case of two species, the optimal feeding strategy consists of a most rapid approach to a singular arc (see Bayen et al. [2014]). The aim of this paper is to study the case of n ≥ 2 species. Thanks to the Pontryagin Maximum Principle, we provide a sub-optimal strategy based on a most rapid approach to a singular arc that depends on the initial condition.
关键词：KeywordsProcess controlBiotechnologyMicrobial ecologyChemostat modelOptimal feedbackPontryagin Maximum PrincipleSingular control
