Local Asymptotic Approximation of Nonlinear Control Systems.
Abstract
This paper describes a canonical method to locally approximate any family (g sub 1, ..., g sub m) of vector fields by one which generates a nilopotent Lie algebra. This is particularly useful in control theory, because it shows that an arbitrary control system can locally be obtained from a small perturbation of nilopotent system, by a suitable rescaling of the coordinates.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1984
- Accession Number
- ADA139260
Entities
People
- A. Bressan
Organizations
- University of Wisconsin–Madison