3 citations · 4 across the 4 of their papers we have counts for
8 papers
The Sard problem in step 2 and in filiform Carnot groups
Francesco Boarotto, Luca Nalon, Davide Vittone
We study the Sard problem for the endpoint map in some well-known classes of Carnot groups. Our first main result deals with step 2 Carnot groups, where we provide lower bounds (de…
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…
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,…
Structure of the endpoint map near nice singular curves
Andrei A. Agrachev, Francesco Boarotto
Given a rank-two sub-Riemannian structure and a point , a singular curve is a critical point of the endpoint map defined on the space of horizont…
Kolmogorov-Fokker-Planck operators in dimension two: heat kernel and curvature
Davide Barilari, Francesco Boarotto
We consider the heat equation associated with a class of hypoelliptic operators of Kolmogorov-Fokker-Planck type in dimension two. We explicitly compute the first meaningful coeffi…