Linear controllability by piecewise constant controls with assigned switching times
type: Item
instance of: scholarly article
title: Linear controllability by piecewise constant controls with assigned switching times
zbMATH Open document ID: 0536.93008
DOI: 10.1007/BF00939978
published in: Journal of Optimization Theory and Applications
publication date: 1985-01-01T00:00:00Z
review text: For a linear time-dependent control process in \(R^ n\), we prove that the complete controllability by means of the space of all the admissible controls is equivalent to the complete controllability by means of a suitable n-dimensional space of piecewise constant controls with at most n preassigned switching times. An analogous result is also established for more general controllability problems.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C99
Mathematics Subject Classification ID: 93B03
zbMATH DE Number: 3852876
zbMATH Keywords: complete controllability
zbMATH Keywords: piecewise constant functions
zbMATH Keywords: switching times. Furi, M.
zbMATH Keywords: Nistri, P.
zbMATH Keywords: Pera, M. P.
zbMATH Keywords: Zea, P. L
author: Massimo Furi
author: Paolo Nistri
author: Maria Patrizia Pera
author: Pierluigi Zezza
MaRDI profile type: Publication
cites work: Q5662999
cites work: Q4086311
cites work: A Bang-Bang Theorem with Bounds on the Number of Switchings
cites work: Q4129103
cites work: Q5542360
cites work: Q3909605
full work available at URL: https://doi.org/10.1007/bf00939978
OpenAlex ID: W2087181558
description: scientific article; zbMATH DE number 3852876