Sufficient optimality conditions for nonconvex control problems with state constraints
type: Item
instance of: scholarly article
title: Sufficient optimality conditions for nonconvex control problems with state constraints
zbMATH Open document ID: 0651.49009
DOI: 10.1007/BF00941059
published in: Journal of Optimization Theory and Applications
publication date: 1989-01-01T00:00:00Z
review text: The sufficient optimality conditions of \textit{V. Zeidan} [Appl. Math. Optimization 11, 209-226 (1984; Zbl 0558.49006); and Trans. Am. Math. Soc. 275, 561-586 (1983; Zbl 0513.49010)] for optimal control problems are generalized such that they are applicable to problems with pure state-variable inequality constraints. We derive conditions which do neither assume the concavity of the Hamiltonian nor the quasiconcavity of the constraints. Global as well as local optimality conditions are presented.
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 49L99
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 34H05
zbMATH DE Number: 4062010
zbMATH Keywords: nonconvex optimization
zbMATH Keywords: sufficient optimality conditions
zbMATH Keywords: state-variable inequality constraints
author: Gerhard Sorger
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4062010