Optimal Control Problems in Transport Dynamics

Supervisor
Mattia Bongini - CEREMADE - Paris Dauphine
Date and time
Thursday, February 8, 2018 at 2:30 PM - Sala verde
Programme Director
External reference
Publication date
February 7, 2018
Department
Computer Science  

Summary

In this talk we shall discuss several results concerning the "indirect control of populations", i.e., how to influence a group of individuals by means of external agents with a directly controlled dynamics. By using the general theory of functionals defined on spaces of measures, we give sufficient conditions for the existence of optimal control strategies and then we present a Pontryagin Maximum Principle for such controls in the form of an Hamiltonian flow in the Wasserstein space of probability measure. Finally, we present an application of the above framework to the evacuation problem of a crowd from an unknown environment with the help of undercover stewards.

Contact person: Giacomo Albi





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