Weak maximum principle for optimal control problems with mixed constraints
type: Item
instance of: scholarly article
title: Weak maximum principle for optimal control problems with mixed constraints
zbMATH Open document ID: 1019.49024
DOI: 10.1016/S0362-546X(01)00094-3
author: M. D. R. de Pinho
author: Achim Ilchmann
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2003-09-05T00:00:00Z
review text: The authors use tools of nonsmooth analysis to obtain two versions of the weak maximum principle for optimal control problems involving ODE's and constraints acting simultaneously on the state and on the controls. The different versions apply, respectively, to problems with equality and to problems with both equality and inequality constraints. The results depend on adequate rank conditions concerning the constraints. These conditions are compared to other rank conditions used in the literature.
Mathematics Subject Classification ID: 49K15
zbMATH DE Number: 1740686
zbMATH Keywords: optimal control
zbMATH Keywords: maximum principle
zbMATH Keywords: joint state-control constraints
zbMATH Keywords: nonsmooth analysis
Wikidata QID: Q123110245
reviewed by: Manuel Guerra
MaRDI profile type: Publication
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full work available at URL: s0362-546x(01)00094-3
OpenAlex ID: W2061814534
description: scientific article; zbMATH DE number 1740686