On the attainable sets of control systems with \(p\)-integrable controls
type: Item
instance of: scholarly article
title: On the attainable sets of control systems with \(p\)-integrable controls
zbMATH Open document ID: 1070.93007
published in: Journal of Optimization Theory and Applications
publication date: 2005-04-07T00:00:00Z
review text: Both linear and nonlinear finite-dimensional control systems with time-varying coefficients are considered. The notion of attainable set is defined and extensively discussed for different sets of so-called admissible controls. The main purpose of the paper is to present the relationships between attainable sets for \(p\)-integrable controls with additional, rather complicated, constraints. Special attention is paid to two-dimensional linear systems with specially constructed controls. The paper contains conditions which show how the attainable sets change when \(p\) changes. Moreover, several illustrative examples are also presented, together with many remarks and comments. Relationships to the results existing in the literature are also mentioned.
reviewed by: Jerzy Klamka
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 2153860
zbMATH Keywords: attainable sets
zbMATH Keywords: controllability
zbMATH Keywords: nonlinear control systems
zbMATH Keywords: \(p\)-integrable controls
author: Hongwei Lou
MaRDI profile type: Publication
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full work available at URL: b:jota.0000043994.99474.ff
OpenAlex ID: W2128699932
DOI: 10.1023/B:JOTA.0000043994.99474.FF
description: scientific article; zbMATH DE number 2153860