Fecha: Martes 14 de Junio de 2022
Hora: 13:45 

Expositor: Emilio Molina (Departamento de Ingeniería Matemática, Universidad de Chile)

Title: Equivalent formulations of optimal control problems with maximum cost and applications.

We consider the optimal control problem which consists in minimizing the
maximum over a time interval of a scalar function. This problem is not in
the usual Mayer, Lagrange or Bolza forms of the optimal control theory,
and thus does not allow to use directly numerical software based on direct
or Hamilton-Jacobi Bellman methods.

In this talk I will present several reformulations of this problem in
Mayer form and I will illustrate its application in some examples, one of
them, minimization of the peak of infected on a SIR dynamic motivated by
the covid-19 context.