34 research outputs found
On Absolute Equivalence and Linearization I
In this paper, we study the absolute equivalence between Pfaffian systems
with a degree 1 independence condition and obtain structural results,
particularly for systems of corank 3. We apply these results to understanding
dynamic feedback linearization of control systems with 2 inputs.Comment: 32 page
Geometry of Centroaffine Surfaces in
We use Cartan's method of moving frames to compute a complete set of local
invariants for nondegenerate, 2-dimensional centroaffine surfaces in
with nondegenerate centroaffine metric. We then
give a complete classification of all homogeneous centroaffine surfaces in this
class