On the Curves that may be approached by Trajectories of a Smooth Control Affine System

Abstract : In this paper, we give a characterization of the set of curves that may be approached by trajectories of a smooth control-affine 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 distribut- ion has constant rank. These results also characterize the support of diffusion processes with smooth coefficients.
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Rapport
RR-3323, INRIA. 1997
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Dernière modification le : samedi 27 janvier 2018 - 01:30:53
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Jean-Baptiste Pomet. On the Curves that may be approached by Trajectories of a Smooth Control Affine System. RR-3323, INRIA. 1997. 〈inria-00073366〉

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