Let g1, …, gm be smooth vector fields on Rd. Using a canonical linear rescaling of time and space coordinates, the control system is transformed into a system, on the same state space, which is arbitrarily close to a nilpotent one. This approximation takes place in the C∞ topology, and is particularly useful for the study of local properties of (+) which depend on the high-order variational structure of the vector fields gi.
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Computer Science Applications