Accession Number : ADA139260

Title :   Local Asymptotic Approximation of Nonlinear Control Systems.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Bressan,A

PDF Url : ADA139260

Report Date : Feb 1984

Pagination or Media Count : 21

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.

Descriptors :   *Approximation(Mathematics), *Vector analysis, *Control systems, Nonlinear systems, Asymptotic series, Mathematical analysis, Control theory, Mapping, Coordinates, Perturbations, Algebra

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE