Universale Rettungskurven. I. (Universal rescue curves. I)
type: Item
instance of: scholarly article
title: Universale Rettungskurven. I. (Universal rescue curves. I)
zbMATH Open document ID: 0607.49027
DOI: 10.4171/ZAA/177
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1986-01-01T00:00:00Z
review text: The geometric problem in this paper is to find the curve of minimal length with the following property: It connects each starting point and the shore of any lake with given thickness. The author shows how this problem can be formulated as an optimal control problem with pointwise state and control constraints. The Kuhn-Tucker conditions are used to deduce necessary optimality conditions which give rise to geometric interpretations of the solution of the problem.
Mathematics Subject Classification ID: 93B99
Mathematics Subject Classification ID: 49N15
Mathematics Subject Classification ID: 49K15
zbMATH DE Number: 3981945
zbMATH Keywords: curve of minimal length
zbMATH Keywords: pointwise state and control constraints
zbMATH Keywords: Kuhn- Tucker conditions
author: Rolf Klötzler
reviewed by: Ekkehard W. Sachs
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3981945