Some optimal visiting problems: from a single player to a crowd of agents
Informal Systems Seminar (ISS), Centre for Intelligent Machines (CIM) and Groupe d'Etudes et de Recherche en Analyse des Decisions (GERAD)
Speaker: Luciano Marzufero
**听狈辞迟别听迟丑补迟听迟丑颈蝉听颈蝉听补听丑测产谤颈诲听别惫别苍迟.
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笔补蝉蝉肠辞诲别:听痴滨厂厂
Abstract:
In an optimal visiting problem, we want to control a trajectory that has to pass as close as possible to a collection of target points or regions. We introduce a hybrid-control based approach for the classic problem where the trajectory can switch between a group of discrete states related to the targets of the problem. In particular, we prove existence and uniqueness of a viscosity solution of the corresponding Hamilton-Jacobi equation. The model is subsequently adapted to a mean-field framework to study viability and crowd fluxes to describe a multitude of indistinguishable players.
Bio:
I was born in Camerino (MC), Italy, in 1993. I got the scientific high school diploma in my native city. I took the Bachelor and the M.Sc. in Mathematics at the University of Camerino and the Ph.D. in Mathematics at the University of Trento. Currently, I am a Junior (non-tenure track) Assistant Professor ("RTD-a" in the Italian system) at the Free University of Bozen-Bolzano. I am mainly interested in Optimal Control and Mean-Field Games.
