5 papers
From local to global asymptotic stabilizability for weakly contractive control systems
Vincent Andrieu, Lucas Brivadis, Jean-Paul Gauthier +2
A nonlinear control system is said to be weakly contractive in the control if the flow that it generates is non-expanding (in the sense that the distance between two trajectories i…
Dynamic Output Feedback Stabilization of Non-uniformly Observable Dissipative Systems
Ludovic Sacchelli, Lucas Brivadis, Vincent Andrieu +2
Output feedback stabilization of control systems is a crucial issue in engineering. Most of these systems are not uniformly observable, which proves to be a difficulty to move from…
A bisector line field approach to interpolation of orientation fields
Nicolas Boizot, Ludovic Sacchelli
We propose an approach to the problem of global reconstruction of an orientation field. The method is based on a geometric model called "bisector line fields", which maps a pair of…
Short geodesics losing optimality in contact sub-Riemannian manifolds and stability of the 5-dimensional caustic
Ludovic Sacchelli
We study the sub-Riemannian exponential for contact distributions on manifolds of dimension greater or equal to 5. We compute an approximation of the sub-Riemannian Hamiltonian flo…
Generic singularities of line fields on 2D manifolds
Ugo Boscain, Ludovic Sacchelli, Mario Sigalotti
Generic singularities of line fields have been studied for lines of principal curvature of embedded surfaces. In this paper we propose an approach to classify generic singularities…