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Reports Year : 1997

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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Dates and versions

inria-00073366 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00073366 , version 1

Cite

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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