Category: Seminars and Conferences
State: Archived
November 9, 2020 at 4:30 PM ONLINE

Hybrid control and quasi-variational Hamilton-Jacobi inequalities, numerical aspects and application to sailing navigation and traffic problems - Adriano Festa - DISMA - Politecnico di Torino

Hosted on MEET

Abstract In this seminar we discuss the extension of the classic dynamic programming approach to hybrid control systems, where a continuous controller can switch between a finite collection of states, paying a cost of switching.
This approach requires the resolution of a system of quasi-variational Hamilton-Jacobi inequalities that we propose to approximate via a semi-Lagrangian scheme obtained by the direct discretization of the dynamical programming principle. We discuss the application of such a framework to model a sailing boat navigation problem for the optimization of the strategic choices on a racecourse and the optimal management of the traffic on a multi-lane road, using a mean-field game inspired model.