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