On Russell's method of controllability via stabilizability
type: Item
instance of: scholarly article
title: On Russell's method of controllability via stabilizability
zbMATH Open document ID: 0586.93005
DOI: 10.1007/BF00941287
published in: Journal of Optimization Theory and Applications
publication date: 1987-01-01T00:00:00Z
review text: \textit{D. L. Russell} [Lect. Notes Pure Appl. Math. 43 (1979; Zbl 0408.93002)] has observed that a linear system is controllable provided it is stabilizable in both positive and negative time. We give a version of this result valid for nonlinear systems, and illustrate its use by giving new proofs of two classical results from control theory, the first involving bounded perturbations of controllable linear systems, and the second involving controllability of linear systems by bounded controls.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93B03
zbMATH DE Number: 3941345
zbMATH Keywords: nonlinear systems
zbMATH Keywords: controllability
zbMATH Keywords: stabilizing feedback control
author: John P. Quinn
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00941287
OpenAlex ID: W2079050317
description: scientific article; zbMATH DE number 3941345