Suite à la fermeture de l’université à cause de l’épidémie de Covid19, le séminaire est annulé.
We present some recent results on the regularity of minimizers for time-optimal control problems.
In particular, we discuss a bound on the worst-case regularity of time-optimal trajectories of single-input control-affine systems, in terms of their chattering behavior.
We also present a partial extension of such a bound to the multi-input case. Finally, we discuss the control-linear case, presenting a $C^1$ regularity result in the 2-input case, when the degree of non-holonomicity is at most 4.