A new approach to the structure at infinity of nonlinear systems
type: Item
instance of: scholarly article
title: A new approach to the structure at infinity of nonlinear systems
zbMATH Open document ID: 0608.93038
DOI: 10.1016/0167-6911(86)90061-7
author: Michel Fliess
published in: Systems \& Control Letters
publication date: 1986-01-01T00:00:00Z
review text: For nonlinear control systems \(\dot x=f(x)+g(x)u\), \(y=h(x)\) a new definition of the structure at infinity is proposed. The definition is based on differential algebraic tools. It is stated that this approach forms a generalization of \textit{L. M. Silverman's} structure algorithm for linear systems [see IEEE Trans. Autom. Control AC-14, 270-276 (1969)].
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 13N05
Mathematics Subject Classification ID: 93B10
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 3985075
zbMATH Keywords: invertibility
zbMATH Keywords: differential algebra
zbMATH Keywords: nonlinear control systems
zbMATH Keywords: structure at infinity
reviewed by: H. Nijmeijer
MaRDI profile type: Publication
full work available at URL: 0167-6911(86)90061-7
OpenAlex ID: W2043783098
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cites work: A note on the invertibility of nonlinear input-output differential systems
cites work: Invertibility of multivariable nonlinear control systems
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cites work: Nonlinear control systems: An introduction
cites work: Q4240468
cites work: Kähler differentials and differential algebra
cites work: Q5680222
cites work: Right-invertibility for a class of nonlinear control systems: A geometric approach
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description: scientific article; zbMATH DE number 3985075