A metric viewpoint to sub-Riemannian optimal control


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.

Trieste, Italy
Eero Hakavuori
Postdoc researcher