On geometry of control systems equivalent to canonical contactsystems: regular points, singular points, and flatness
Pasillas-Lepine, W.; Respondek, W.
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Volume 5, Issue , 2000 Page(s):5151 - 5156 vol.5
Digital Object Identifier   10.1109/CDC.2001.914769
Summary:We give necessary and sufficient geometric conditions for a nonlinear control system to be feedback equivalent to a canonical contact system for curves. We study the geometry of that class of systems, in particular, the existence of involutive subdistributions of corank one. We also distinguish regular points, at which the system is equivalent to the canonical contact system, and singular points. We show how the geometry of the studied class of systems is reflected by their flatness

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