On the curves that may be approached by trajectories of a smooth control affine system
Pomet, Jean-Baptiste
HAL, hal-01677090 / Harvested from HAL
Text on HAL
In this paper, we give a characterization of the set of curves that may be approached by trajectories of a smooth control-ane nonlinear system, in the topology of uniform convergence. This characterization is in terms of the drift vector field and the distribution spanned by the Lie algebra generated by the control vector fields. The characterization is valid on open sets where this distribution has constant rank. These results also characterize the support of di↵usion processes with smooth coecients. ⇤
Publié le : 1999-02-04
Classification:  [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC] 
@article{hal-01677090,
     author = {Pomet, Jean-Baptiste},
     title = {On the curves that may be approached by trajectories of a smooth control affine system},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01677090}
}

Pomet, Jean-Baptiste. On the curves that may be approached by trajectories of a smooth control affine system. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-01677090/