On systems of ordinary differential equations with measures as controls
type: Item
instance of: scholarly article
title: On systems of ordinary differential equations with measures as controls
zbMATH Open document ID: 0731.34087
author: G. Dal Maso
author: Franco Rampazzo
published in: Differential and Integral Equations
publication date: 1991-01-01T00:00:00Z
review text: We study a general class of nonlinear systems of ordinary differential equations, whose right-hand sides depend linearly on a vector valued measure. This measure is viewed as the distributional derivative of a control function with bounded variation. We discuss existence, uniqueness and continuous dependence of the solutions on the controls. Our interest in this kind of differential systems is mainly motivated by some recent applications of control theory in rational mechanics.
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 4208603
zbMATH Keywords: nonlinear systems of ordinary differential equations
zbMATH Keywords: vector valued measure
zbMATH Keywords: control function with bounded variation
zbMATH Keywords: continuous dependence of the solutions on the controls
reviewed by: Jordan Stoyanov
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4208603