120 citations · 247 across the 31 of their papers we have counts for
4 papers · 2 filters
Quasi-optimal robust stabilization of control systems
Christophe Prieur, Emmanuel Trélat
In this paper, we investigate the problem of semi-global minimal time robust stabilization of analytic control systems with controls entering linearly, by means of a hybrid state f…
Singular trajectories of control-affine systems
Yacine Chitour, Frédéric Jean, Emmanuel Trélat
When applying methods of optimal control to motion planning or stabilization problems, some theoretical or numerical difficulties may arise, due to the presence of specific traject…
Asymptotics of accessibility sets along an abnormal trajectory
Emmanuel Trélat
We describe precisely, under generic conditions, the contact of the accessibility set at time with an abnormal direction, first for a single-input affine control system with co…
Some properties of the value function and its level sets for affine control systems with quadratic cost
Emmanuel Trélat
Let fixed. We consider the optimal control problem for analytic affine systems: $\ds{\dot{x}=f\_0(x)+\sum\_{i=1}^m u\_if\_i(x)}$, with a cost of the form: $\ds{C(u)=\int\_0^T…