5 citations · 12 across the 12 of their papers we have counts for
6 papers · 1 filter
Strong Legendre regularity and short-time analysis of abnormal curves
Francesco Boarotto
We study strictly abnormal sub-Riemannian extremals satisfying the Goh condition and a strong (i.e., coercive) generalized Legendre condition, imposed only at the Lebesgue points o…
On the Lebesgue measure of the boundary of the evoluted set
Francesco Boarotto, Laura Caravenna, Francesco Rossi +1
The evoluted set is the set of configurations reached from an initial set via a fixed flow for all times in a fixed interval. We find conditions on the initial set and on the flow…
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…
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,…
Time-Optimal Trajectories of Generic Control-Affine Systems Have at Worst Iterated Fuller Singularities
Francesco Boarotto, Mario Sigalotti
We consider in this paper the regularity problem for time-optimal trajectories of a single-input control-affine system on a n-dimensional manifold. We prove that, under generic con…
On the set of points of smoothness for the value function for affine optimal control problems
Davide Barilari, Francesco Boarotto
We study the regularity properties of the value function associated with an affine optimal control problem with quadratic cost plus a potential, for a fixed final time and initial…