Another Jacobi sufficiency criterion for optimal control with smooth constraints
type: Item
instance of: scholarly article
title: Another Jacobi sufficiency criterion for optimal control with smooth constraints
zbMATH Open document ID: 0629.49016
DOI: 10.1007/BF00939686
published in: Journal of Optimization Theory and Applications
publication date: 1988-01-01T00:00:00Z
review text: In order to tighten the gap between necessary and sufficient conditions, new second-order sufficient conditions are developed for optimal control problems, where the control set is given by smooth functions. When the control set if polyhedral, our criterion generalizes prior results of the same kind [see the second author, Appl. Math. Optimization 11, 209-226 (1984; Zbl 0558.49006), SIAM J. Control Optimization 22, 294-301 (1984; Zbl 0535.49014), and Decision and Control, Proc. 22th IEEE Conf., San Antonio/Texas 1983, Vol. 1, 379-383 (New York 1983)], namely, the Jacobi criterion in Hamiltonian form and that in Lagrangian form.
Mathematics Subject Classification ID: 49L99
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 49K15
zbMATH DE Number: 4024129
zbMATH Keywords: second-order sufficient conditions
zbMATH Keywords: Jacobi criterion
zbMATH Keywords: weak and strong local minima
zbMATH Keywords: smooth constraints
author: David Orrell
author: Vera Zeidan
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00939686
OpenAlex ID: W1987667374
description: scientific article; zbMATH DE number 4024129