Transformation of nonlinear dynamic systems to linear form
type: Item
instance of: scholarly article
title: Transformation of nonlinear dynamic systems to linear form
zbMATH Open document ID: 0912.93015
author: A. M. Zhukov
author: Alexey Zhirabok
published in: Journal of Computer and Systems Sciences International
publication date: 1999-05-30T00:00:00Z
review text: The transformation of a given finite-dimensional stationary nonlinear control system to a linear stationary control system is considered. In order to solve this problem, the so-called algebra of functions is extensively used. A necessary and sufficient condition for the existence of a global transformation is formulated and proved. Moreover, the so-called redundancy of the dynamical systems is discussed. Finally, a simple illustrative numerical example is given. It should be pointed out that the given algorithm of transformation may be used for continuous and discrete dynamical systems. Similar transformation problems have been considered in the paper [\textit{L. R. Hunt}, \textit{R. Su} and \textit{G. Meyer}, IEEE Trans. Autom. Control AC-28, No. 1, 24-31 (1983; Zbl 0502.93036)].
Mathematics Subject Classification ID: 93B17
Mathematics Subject Classification ID: 93B18
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 1158074
zbMATH Keywords: linearizability
zbMATH Keywords: transformation
reviewed by: Jerzy Klamka
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1158074