| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4612392 | Journal of Differential Equations | 2006 | 72 Pages |
Abstract
Given an affine control system in R3 subject to the Hörmander's condition at the origin, we prove the existence of a local smooth repulsive stabilizing feedback at the origin. Our construction is based on the classical homogenization procedure, on the existence of a semiconcave control-Lyapunov function, and on the classification of singularities of semiconcave functions in dimension two.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
