On the optimality of given feedback controls
type: Item
instance of: scholarly article
title: On the optimality of given feedback controls
zbMATH Open document ID: 0675.49018
DOI: 10.1007/BF01102350
published in: Journal of Optimization Theory and Applications
publication date: 1990-01-01T00:00:00Z
review text: We show how to construct a Lagrange problem which has the property that its extremals are the solutions of a given differential equation and which satisfies certain structural assumptions. These assumptions require that the integrand is either a concave function or that it is additively separable. In the first case, which is relevant in economics, we present a continuous-time analogue of the indeterminacy result of \textit{M. Boldrin} and \textit{L. Montrucchio} [J. Econ. Theory 40, No.1, 26-39 (1986; Zbl 0662.90021)]. The second case is illustrated by a minimum principle for the logistic growth function.
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 91B62
zbMATH DE Number: 4105713
zbMATH Keywords: Lagrange problem
zbMATH Keywords: extremals
zbMATH Keywords: minimum principle
author: Gerhard Sorger
MaRDI profile type: Publication
cites work: On the indeterminacy of capital accumulation paths
cites work: A minimum principle for a population equation
cites work: On the optimality of the logistic growth
cites work: Optimization and nonsmooth analysis
full work available at URL: https://doi.org/10.1007/bf01102350
OpenAlex ID: W2034405389
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description: scientific article; zbMATH DE number 4105713