5 citations · 12 across the 12 of their papers we have counts for
4 papers · 1 filter
Fuller singularities for generic control-affine systems with an even number of controls
Francesco Boarotto, Yacine Chitour, Mario Sigalotti
In this article we study how bad can be the singularities of a time-optimal trajectory of a generic control affine system. In the case where the control is scalar and belongs to a…
A dynamical approach to the Sard problem in Carnot groups
Francesco Boarotto, Davide Vittone
We introduce a dynamical-systems approach for the study of the Sard problem in sub-Riemannian Carnot groups. We show that singular curves can be obtained by concatenating trajector…
Third order open mapping theorems and applications to the end-point map
Francesco Boarotto, Roberto Monti, Francesco Palmurella
This paper is devoted to a third order study of the end-point map in sub-Riemannian geometry. We first prove third order open mapping results for maps from a Banach space into a fi…
Dwell-time control sets and applications to the stability analysis of linear switched systems
Francesco Boarotto, Mario Sigalotti
We propose an extension of the theory of control sets to the case of inputs satisfying a dwell-time constraint. Although the class of such inputs is not closed under concatenation,…