Full paper in PDF:
$%E. Remm and M. Goze, Nilpotent control systems, Rev. Mat. Complut. 15 (2002), no. 1, 199–211.%$

Nilpotent Control Systems
Elisabeth REMM and Michel GOZE
Laboratoire de Mathématiques
4, rue des Frères Lumière
F. 68093 Mulhouse Cedex — France

Received: January 22, 2001
Revised: March 22, 2001


We study the class of matrix controlled systems associated to graded filiform nilpotent Lie algebras. This generalizes the nonlinear system corresponding to the control of the trails pulled by car.

2000 Mathematics Subject Classification: 17B30, 93B25, 22F99, 34K35.