A metric viewpoint to sub-Riemannian optimal control

Abstract

The regularity of solutions to Sub-Riemannian optimal control problems is a long standing open problem, of which relatively little is known. In recent years, a metric approach has proved that optimal controls cannot contain certain types of singularities, the simplest being a discrete switching point. A central object of the approach is the metric tangent cone of an optimal trajectory. This talk is based on joint work with Enrico Le Donne.