Decision and Control Lecture Series

Decision and Control Laboratory, Coordinated Science Laboratory

Multiscale Models and Sparse Controls for Crowd Dynamics and Vehicular Traffic

Benedetto Piccoli

Joseph and Loretta Lopez Chair Professor of Mathematics

Department of Mathematical Sciences

Rutgers University - Camden

Wednesday, February 27, 2013

3:00 p.m. to 4:00 p.m.

B02 Auditorium CSL

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Abstract

We review some recent measure based models for crowd dynamics and vehicular traffic.  The multiscale approach is naturally cast in the Wasserstein spaces description.  Then we consider the problem of controlling a large group of moving autonomous agents toward consensus or flocking, picking the Cucker-Smale dynamics as case study.  Stabilization is achieved by a sparse feedback control determined by an l1 variational principle.  The latter provides a computationally very convenient tool to deal with large groups.

Biography

Benedetto Piccoli is the Joseph and Loretta Lopez Chair Professor of Mathematics and Program Director of the PhD in Computational and Integrative Biology at Rutgers - Camden.  He is author of more than 150 papers and 5 books and his research interests include: traffic flows, crowd dynamics, systems biology, math finance and others.  He is the recipient of 2009 Fubini Prize, 2012 AMS Fellow, founder and EiC of Networks and Heterogeneous Media.

PLEASE JOIN US FOR COOKIES AND COFFEE PRIOR TO THE SEMINAR IN ROOM 154 CSL AT 2:30PM