SEMINARIO DI EQUAZIONI DIFFERENZIALI
Dipartimento di Matematica
Università degli Studi di Roma "Tor Vergata"

Thursday  3 June 2021 - 14:00 (UTC+2)   (Streaming via Microsoft Teams)

Speaker:  Francesca Carlotta Chittaro (Université de Toulon, France)

Title: Hamiltonian approach to sufficient optimality conditions

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
$$ int_0^T |u(t)| |varphi( X(t))| dt $$
Costs of these form are very common in problems modeling neurobiology, mechanics and fuel-consumption.

Note: This talk is part of the activity of the MIUR Excellence Department Project MATH@TOV CUP E83C18000100006

MS Teams Link:
https://teams.microsoft.com/l/meetup-join/19%3a7f273a2aff1145dfae91372d186b1cd9%40thread.tacv2/1622121687579?context=%7b%22Tid%22%3a%2224c5be2a-d764-40c5-9975-82d08ae47d0e%22%2c%22Oid%22%3a%22d37d6fea-2e4d-4c35-88e4-99bf4cf68fe9%22%7d
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