Sufficient conditions for a strong relative minimum in an optimal control problem
type: Item
instance of: scholarly article
title: Sufficient conditions for a strong relative minimum in an optimal control problem
zbMATH Open document ID: 0571.49019
DOI: 10.1007/BF00938481
author: B. George
published in: Journal of Optimization Theory and Applications
publication date: 1986-01-01T00:00:00Z
review text: On the basis of Young's method [see \textit{L. C. Young}, Lectures on the calculus of variations and optimal control theory (1969; Zbl 0177.37801)], sufficient conditions for a strong relative minimum in an optimal control problem are given. Young's method generalizes geodesic coverings and the simplest Hilbert integral from the standard variational calculus. This paper carries Young's method over to nonparametric problems.
Mathematics Subject Classification ID: 49L99
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 53C22
zbMATH DE Number: 3911153
zbMATH Keywords: Young's method
zbMATH Keywords: sufficient conditions for a strong relative minimum
zbMATH Keywords: geodesic coverings
zbMATH Keywords: Hilbert integral
Wikidata QID: Q104413785
MaRDI profile type: Publication
cites work: Q5567300
cites work: Sufficient conditions for a control to be a strong minimum
cites work: The Maximum Principle under Minimal Hypotheses
cites work: Q4086303
cites work: Local Optimality Conditions and Lipschitzian Solutions to the Hamilton–Jacobi Equation
cites work: Q4743352
cites work: Global optimality of extremals: An example
cites work: New Global Optimality Conditions in Optimal Control Theory
description: scientific article; zbMATH DE number 3911153