✦ LIBER ✦
On the curves that may be approached by trajectories of a smooth control affine system
✍ Scribed by Jean-Baptiste Pomet
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 116 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0167-6911
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✦ Synopsis
In this paper, we give a characterization of the set of curves that may be approached by trajectories of a smooth controla ne nonlinear system, in the topology of uniform convergence. This characterization is in terms of the drift vector ÿeld and the distribution spanned by the Lie algebra generated by the control vector ÿelds. 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 coe cients.