An example on the controllability of perturbed linear control systems
type: Item
instance of: scholarly article
title: An example on the controllability of perturbed linear control systems
zbMATH Open document ID: 0904.93002
DOI: 10.1023/A:1022642410188
author: G. Sturiale
published in: Journal of Optimization Theory and Applications
publication date: 1998-11-11T00:00:00Z
review text: The following linear control system is considered: \( \dot{x}= A(t)x + B(t)u(t)\), where \(t\) ranges over the compact interval \(I\), the state vector function \(x\) is \(n\)-dimensional, the control function \(u\) is \(m\)-dimensional and the coefficients \(A\) and \(B\) are measurable matrix-valued functions of appropriate dimensions. It is also assumed that \(A\) and \(B\) are Lebesgue integrable on \(I\). It is shown that small perturbations with respect to the convergence in measure of the coefficients of \(A\) and \(B\) may (not) affect the complete controllability of this system when \(n \geq 2\) \((n=1)\).
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C99
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 1124791
zbMATH Keywords: linear systems
zbMATH Keywords: perturbations
zbMATH Keywords: complete controllability
zbMATH Keywords: time-varying coefficients
reviewed by: Mikhail Krastanov
MaRDI profile type: Publication
cites work: Q3983441
cites work: Complete controllability of perturbed linear control systems, revisited
cites work: Contributions to linear control theory
full work available at URL: a:1022642410188
OpenAlex ID: W1590705500
description: scientific article; zbMATH DE number 1124791