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Séminaire Doctorants

organisé par l'équipe DOCT

  • Mabrouk Ben Jaba

    Some Historical Optimization Problems Revisited Through Optimal Control Theory

    18 juin 2026 - 16:30Salle de conférences IRMA

    The aim of this talk is to explore several historical optimization problems together, namely Dido’s problem and the brachistochrone problem, by adopting an optimal control perspective. We start by introducing optimal control theory. This mathematical discipline consists in determining the best way to influence a dynamical system through a control or input so as to steer it toward a target state [control], while minimizing or maximizing a given cost functional [optimal]. Optimal control theory is used in a wide range of fields, including aerospace engineering (rocket trajectory optimization), finance (optimal portfolio management), and biology (population management). We focus on the case where a dynamical system is described by ordinary differential equations and we present Pontryagin’s Maximum Principle. An outline of the proof, aimed at providing insight into this principle, will also be given. Finally, we apply this framework to the historical problems mentioned above.