Necessary optimality conditions for a class of control problems with state constraint
type: Item
instance of: scholarly article
title: Necessary optimality conditions for a class of control problems with state constraint
zbMATH Open document ID: 1483.49009
author: Adam Korytowski
author: Maciej Szymkat
published in: Games
publication date: 2021-11-26T00:00:00Z
review text: In this work, the authors study necessary conditions of optimal control problems with pathwse state constraints involving ordinary differential equations. The motivation to study such a problem arises out of the fact that existing classifications of necessary conditions using gradient-based approaches are quite abstract and are difficult to verify. The authors use the idea of the needle variations in Pontryagin's maximum principle classification of optimality condition, to develop verifiability conditions that distinguish the controls to which the needle technique of optimality verification can be effectively applied. The authors also provide a geometric interpretations of such conditions. Finally, they demonstrate the validity of their theoretical results with several numerical examples. The paper is well-written and easy to follow, and is certainly quite a good contribution to the field of optimal control. It will be interesting for researchers working on optimal control to use and validate the theoretical results of this paper in different applications. Moreoever, it will also be interesting to see if such an idea can be extended to optimal control problems involving partial differential equations.
reviewed by: Souvik Roy
Mathematics Subject Classification ID: 49J15
zbMATH DE Number: 7434008
zbMATH Keywords: optimal control
zbMATH Keywords: state constraint
zbMATH Keywords: necessary optimality conditions
zbMATH Keywords: ordinary differential equations
MaRDI profile type: Publication
full work available at URL: g12010009
OpenAlex ID: W3122295827
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DOI: 10.3390/G12010009
description: scientific article; zbMATH DE number 7434008