Global controllability of linear autonomous systems: a geometric consideration
type: Item
instance of: scholarly article
title: Global controllability of linear autonomous systems: a geometric consideration
zbMATH Open document ID: 0568.93005
DOI: 10.1016/0167-6911(85)90042-8
author: Nguyen Khoa Son
published in: Systems \& Control Letters
publication date: 1985-01-01T00:00:00Z
review text: Let \(\dot x=Ax+u\) be a linear control system in \({\mathbb{R}}^ n\). The values of the controls u are constrained to belong to a non empty subset C of \({\mathbb{R}}^ n\). In this paper the author proves necessary conditions and sufficient conditions in order that a system locally controllable at 0 will be globally controllable at 0. The conditions are based on geometric considerations and involve the eigenvectors of A, the transposed matrix of A and the recession cone of C.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C99
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 93B03
zbMATH DE Number: 3908244
zbMATH Keywords: local and global controllability
zbMATH Keywords: linear autonomous system
zbMATH Keywords: recession cone
reviewed by: Rosa Maria Bianchini
MaRDI profile type: Publication
full work available at URL: 0167-6911(85)90042-8
OpenAlex ID: W2045407444
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description: scientific article; zbMATH DE number 3908244