Top-level heading

Controlled Vlasov-type dynamics

Categoria: 
Seminari di Probabilità
Data e ora inizio evento: 
Data e ora fine evento: 
Aula: 
Sala di Consiglio
Sede: 

Dipartimento di Matematica Guido Castelnuovo, Sapienza Università di Roma

Speaker: 

Carlo Orrieri, Dipartimento di Matematica, Sapienza Università di Roma

The aim of the talk is to connect the optimal control of Vlasov-type PDEs with large systems of controlled interacting particles/agents. The main difference towards the classical mean-field theory, where the particle are freely interacting with each other, is the presence of a central planner influencing the dynamics. In this situation it is not obvious that the mean field limit should commute with the optimization. In order to develop a rigorous limit theory for this problem we employ the well-known concept of Gamma convergence. The talk is based on a work in project with M. Fornasier, S. Lisini and G. Savarè