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The turnpike property in maximization of microbial metabolite production

Jean-Baptiste Caillau 1, 2, 3 Walid Djema 4 Laetitia Giraldi 1 Jean-Luc Gouzé 4 Sofya Maslovskaya 4, 1 Jean-Baptiste Pomet 1
1 McTAO - Mathematics for Control, Transport and Applications
CRISAM - Inria Sophia Antipolis - Méditerranée
4 BIOCORE - Biological control of artificial ecosystems
CRISAM - Inria Sophia Antipolis - Méditerranée , LOV - Laboratoire d'océanographie de Villefranche, INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement
Abstract : We consider the problem of maximization of metabolite production in bacterial cells. Numerical methods showed that the major phase of the solutions for different initial states and final times is the singular regime which exhibits a special structure reminiscent of the turnpike phenomenon. We prove that singular trajectories indeed have the turnpike property by providing an estimate both on singular trajectories and on the associated controls. This result can be further used for construction of simple realistic suboptimal control strategies.
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  • HAL Id : hal-02916081, version 1

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Jean-Baptiste Caillau, Walid Djema, Laetitia Giraldi, Jean-Luc Gouzé, Sofya Maslovskaya, et al.. The turnpike property in maximization of microbial metabolite production. IFAC 2020 - 21rst IFAC World Congress, Jul 2020, Berlin / Virtual, Germany. ⟨hal-02916081⟩

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