On the continuity properties of the attainable sets of control systems with integral constraints on control.
type: Item
instance of: scholarly article
title: On the continuity properties of the attainable sets of control systems with integral constraints on control.
zbMATH Open document ID: 1051.93013
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2004-03-14T00:00:00Z
review text: The authors consider a control system whose behavior is described by a differential equation \[ \dot x=f(t,x(t))+B(t,x(t))u(t), \quad x(t_{0})\in X_{0}, \] with constraints \[ \int_{t_{0}}^{\theta}\| u(t)\| ^{p}\,dt\leq \mu_{o}^{p}, \quad \mu_{0}>0, 1<p<\infty, \] and prove that the attainable sets of the system are continuous with respect to \(p\)
Mathematics Subject Classification ID: 93B03
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 2056132
zbMATH Keywords: integral constraint
zbMATH Keywords: attainable set
zbMATH Keywords: continuous dependence
zbMATH Keywords: bifurcation of attainable sets
author: Khalik G. Guseinov
author: Orhan Özer
author: Emrah Akyar
reviewed by: Sotiris K. Ntouyas
MaRDI profile type: Publication
full work available at URL: j.na.2003.09.019
OpenAlex ID: W2039472535
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DOI: 10.1016/J.NA.2003.09.019
description: scientific article; zbMATH DE number 2056132