On solvability of several affine system problems
type: Item
instance of: scholarly article
title: On solvability of several affine system problems
zbMATH Open document ID: 0544.93031
DOI: 10.1016/S0167-6911(84)80080-8
author: Krzysztof Tchoń
published in: Systems \& Control Letters
publication date: 1984-01-01T00:00:00Z
review text: The paper discusses some of the basic properties of a nonlinear control system. In particular the paper addresses the question to what extent desirable objectives like accessibility, observability, invertibility and partial linearization are altered by small changes in the systems parameters. That is, are the above concepts structural or generic or residual? Because the forementioned notions are characterized in differential geometric terms, the whole machinery necessary for application of Thom's transversality theorem comes available. In this way the paper gives some useful extensions of results known to be valid for linear control systems.
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 57R27
Mathematics Subject Classification ID: 37C75
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93B07
Mathematics Subject Classification ID: 37J40
zbMATH DE Number: 3867161
zbMATH Keywords: affine system
zbMATH Keywords: generic property
zbMATH Keywords: accessibility
zbMATH Keywords: invertibility
zbMATH Keywords: partial linearization
zbMATH Keywords: Thom's transversality theorem
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3867161