A Bound for the Degree of Nonholonomy in the Plane

  title={A Bound for the Degree of Nonholonomy in the Plane},
  author={Jean-Jacques Risler},
  journal={Theor. Comput. Sci.},
Let X = (VI,. , VT) be a system made with vector fields VI,. _. . V, in R” whose coordinates are polynomials of degree < d. To such a system is associated the control system X: = c U, V, It is proven that in the case n = 2, the degree of nonholonomy of such a system is bounded by a function $(2,d)<6d2 2d + 2. 

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