Optimality conditions and duality models for a class of nonsmooth constrained fractional optimal control problems
type: Item
instance of: scholarly article
title: Optimality conditions and duality models for a class of nonsmooth constrained fractional optimal control problems
zbMATH Open document ID: 0883.49015
author: G. J. Zalmai
published in: Journal of Mathematical Analysis and Applications
publication date: 1997-07-06T00:00:00Z
review text: Necessary and sufficient optimality conditions are obtained for a class of nonsmooth optimal control problems with fractional objective function, linear dynamics, and integrands and constraints involving convex functions and nonsmooth norm terms. Various parametric and nonparametric dual problems are given, and weak, strong, and strict converse duality theorems are proved, generalizing many existing results, including those involving square-roots of quadratic forms.
Mathematics Subject Classification ID: 49K05
Mathematics Subject Classification ID: 90C32
Mathematics Subject Classification ID: 49N15
Mathematics Subject Classification ID: 49J52
zbMATH DE Number: 1031639
zbMATH Keywords: fractional programming
zbMATH Keywords: necessary and sufficient optimality conditions
zbMATH Keywords: nonsmooth optimal control problems
zbMATH Keywords: converse duality theorems
reviewed by: B. D. Craven
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5377
OpenAlex ID: W1968238039
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DOI: 10.1006/JMAA.1997.5377
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description: scientific article; zbMATH DE number 1031639