4 jun 2021 -- 14:30   [open in google calendar]

streaming

Abstract.

The celebrated Pontryagin Maximum Principle (PMP) provides a (first order) necessary condition for the optimality of trajectories of optimal control problems. In most cases, however, a trajectory satisfying PMP is not optimal. For these reasons, additional optimality conditions are required. In this context, Hamiltonian methods are quite effective in establishing sufficient optimality conditions. In this talk, after a brief review of the main ideas of the general method, we will focus on optimal control problems associated with control-affine dynamics and costs of the form \[ \int_0^T
u(t)\varphi(x(t))
dt. \]

These kind of cost are very common in problems modeling neurobiology, mechanics and fuel-consumption.

This is a joint work with L. Poggiolini (DIMAI)