Mathematics Colloquium - Benedetto Piccoli
This event is in the past.
Detroit, MI 48202
Speaker: Benedetto Piccoli, Professor, Rutgers University
Title: Sparse Lagrangian controls for multi-agent dynamics and measure differential equations
Abstract: We review some recent approaches to control large group of systems with sparse controls. At microscopic level we consider a number of multi-particle systems, used in applications to animal groups, opinion dynamics and other, while kinetic models are obtained as mean-field limit (Vlasov-Poisson equation). Moreover, application to control of traffic via autonomous and connected vehicles is shown. Finally, a new class of equations, called Measure Differential Equations, are discussed as a way to encompass mean-field limits.