Necessary second-order conditions for a strong local minimum in a problem with endpoint and control constraints
type: Item
instance of: scholarly article
title: Necessary second-order conditions for a strong local minimum in a problem with endpoint and control constraints
zbMATH Open document ID: 1436.49027
published in: Journal of Optimization Theory and Applications
publication date: 2020-04-07T00:00:00Z
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 49J45
zbMATH DE Number: 7187320
zbMATH Keywords: weak minimum
zbMATH Keywords: strong minimum
zbMATH Keywords: Pontryagin minimum principle
zbMATH Keywords: critical cone
zbMATH Keywords: quadratic form
author: Nikolai P. Osmolovskii
MaRDI profile type: Publication
full work available at URL: s10957-020-01647-4
OpenAlex ID: W3011075619
cites work: CONDITIONS OF HIGH ORDER FOR A LOCAL MINIMUM IN PROBLEMS WITH CONSTRAINTS
cites work: Quadratic order conditions for bang-singular extremals
cites work: Variational approach to second-order optimality conditions for control problems with pure state constraints
cites work: Second-order sufficient optimality conditions for control problems with linearly independent gradients of control constraints
cites work: On second-order necessary conditions for broken extremals
cites work: Necessary quadratic conditions of extremum for discontinuous controls in optimal control problems with mixed constraints
cites work: Sufficient quadratic conditions of extremum for discontinuous controls in optimal control problems with mixed constraints
cites work: Second-Order Necessary Optimality Conditions for the Mayer Problem Subject to a General Control Constraint
cites work: Second-order necessary conditions for a strong local minimum in a control problem with general control constraints
cites work: Strong Local Minimizers in Optimal Control Problems with State Constraints: Second-Order Necessary Conditions
cites work: Set-valued analysis
cites work: On generalized Bolza problem and its application to dynamic optimization
cites work: Necessary second-order conditions for a weak local minimum in a problem with endpoint and control constraints
cites work: Approximation theorem for a nonlinear control system with sliding modes
DOI: 10.1007/S10957-020-01647-4
description: scientific article; zbMATH DE number 7187320