Kinetic Description of Social Dynamics: From Consensus to Flocking

Sparse control for groups on the move

Benedetto Piccoli

University of Rutgers-Camden


We consider the problem of controlling a large group of moving autonomous agents for achieving a given goal, e.g. flocking. We pick the Cucker-Smale system as our case study. First we show that stabilization is possible by a sparse feedback control determined by an |1 variational principle. The latter provides a computationally very convenient tool to deal with large groups. Then we discuss controllability and optimal control.