Extension of the local maximum principle to abnormal optimal control problems
type: Item
instance of: scholarly article
title: Extension of the local maximum principle to abnormal optimal control problems
zbMATH Open document ID: 0796.49020
DOI: 10.1007/BF00940455
published in: Journal of Optimization Theory and Applications
publication date: 1994-04-27T00:00:00Z
Mathematics Subject Classification ID: 49K15
zbMATH DE Number: 557845
zbMATH Keywords: nonregular operators
zbMATH Keywords: optimal control
zbMATH Keywords: terminal data
zbMATH Keywords: abnormal case
zbMATH Keywords: Dubovitskij-Milyutin method
zbMATH Keywords: Lusternik theorem
zbMATH Keywords: local maximum principle
author: Urszula Ledzewicz
MaRDI profile type: Publication
cites work: On some specification of the Dubovitskii-Milyutin method
cites work: Some properties of cones in normed spaces and their application to investigating extremal problems
cites work: Application of some specification of the Dubovitskii-Milyutin method to problems of optimal control
cites work: Necessary extremum conditions for smooth anormal problems with equality- and inequality-type constraints
cites work: Q3472754
cites work: Second-order conditions for extremum problems with nonregular equality constraints
cites work: On Second Order Necessary Conditions of Optimality
cites work: Higher order necessary conditions in abstract mathematical programming
cites work: Necessary and Sufficient Conditions for a Local Minimum. 3: Second Order Conditions and Augmented Duality
cites work: First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
cites work: A unified theory of first and second order conditions for extremum problems in topological vector spaces
cites work: Necessary and sufficient conditions for optimality of p-th order
cites work: Lectures on mathematical theory of extremum problems. Translated from the Russian by D. Louvish
cites work: The High Order Maximal Principle and Its Application to Singular Extremals
cites work: CONDITIONS OF HIGH ORDER FOR A LOCAL MINIMUM IN PROBLEMS WITH CONSTRAINTS
cites work: Q3702056
cites work: Second Order Controllability and Optimization with Ordinary Controls
cites work: Optimal periodic control
cites work: Q4203428
cites work: Q4194725
full work available at URL: https://doi.org/10.1007/bf00940455
OpenAlex ID: W2001492264
description: scientific article; zbMATH DE number 557845