Complete controllability
type: Item
instance of: scholarly article
title: Complete controllability
zbMATH Open document ID: 0571.93011
DOI: 10.1007/BF00938478
published in: Journal of Optimization Theory and Applications
publication date: 1986-01-01T00:00:00Z
review text: A linear autonomous control system in \({\mathbb{R}}^ n\) is said completely controllable iff there exists \(T>0\) such that each \(x\in {\mathbb{R}}^ n\) can be steered to any \(y\in {\mathbb{R}}^ n\) in time T. This note presents a geometric characterization of this property in the case in which there are constraints on the values which the control maps can assume. A necessary and sufficient condition to get instant controllability, i.e. complete controllability for any \(T>0\), is also derived. This condition generalizes the well known, Kalman condition to the constrained case.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C99
zbMATH DE Number: 3912196
zbMATH Keywords: linear autonomous control system
zbMATH Keywords: geometric characterization
zbMATH Keywords: complete controllability
zbMATH Keywords: Kalman condition
author: Rosa Maria Bianchini
MaRDI profile type: Publication
cites work: Controllability in Linear Autonomous Systems with Positive Controllers
cites work: Q3050197
cites work: Q5603731
cites work: Instant controllability of linear autonomous systems
cites work: Theorems on the dimensions of convex sets
cites work: Q5542360
full work available at URL: https://doi.org/10.1007/bf00938478
OpenAlex ID: W2914812430
description: scientific article; zbMATH DE number 3912196