Characterizations of an approximate minimum in optimal control
type: Item
instance of: scholarly article
title: Characterizations of an approximate minimum in optimal control
zbMATH Open document ID: 0682.49025
DOI: 10.1007/BF00940535
author: Yanyan Li
published in: Journal of Optimization Theory and Applications
publication date: 1990-01-01T00:00:00Z
review text: By using the classical variational methods based on geodesic coverings of a domain and on Hilbert's independent integral, further characterizations of an approximate solution in problems of control are described. The starting point is the Ekeland-type characterization, the variational principle. As consequences, sufficient conditions for optimality are obtained in a form similar to the Weierstrass conditions from the calculus of variations.
Mathematics Subject Classification ID: 49K20
zbMATH DE Number: 4117317
zbMATH Keywords: geodesic coverings
zbMATH Keywords: Hilbert's independent integral
zbMATH Keywords: approximate solution
zbMATH Keywords: Ekeland-type characterization
zbMATH Keywords: variational principle
zbMATH Keywords: sufficient conditions for optimality
zbMATH Keywords: Weierstrass conditions
Wikidata QID: Q104413778
reviewed by: Andrzej Nowak
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4117317