Needle variations and almost lower semicontinuous differential inclusions
type: Item
instance of: scholarly article
title: Needle variations and almost lower semicontinuous differential inclusions
zbMATH Open document ID: 1013.49021
DOI: 10.1023/A:1016540217523
author: Héctor J. Sussmann
published in: Set-Valued Analysis
publication date: 2002-08-28T00:00:00Z
review text: The classical version of the `Pontryagin maximum principle' relies on the construction of `needle variations' at various times \(t\) in the domain \([a,b]\) of the given reference trajectory \(\xi_{*}.\) The base purpose of this note is to explaine how the construction of needle variations can be carried out for differential inclusions rather than for case of vector fields of class \(C^{1}\) considered in classical books.
Mathematics Subject Classification ID: 49K24
Mathematics Subject Classification ID: 34A60
zbMATH DE Number: 1790168
zbMATH Keywords: almost lower semicontinuous differential inclusions
zbMATH Keywords: needle variations
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1790168