Generic classification of time minimal synthesis in the neighborhood of a target of codimension one and applications
type: Item
instance of: scholarly article
title: Generic classification of time minimal synthesis in the neighborhood of a target of codimension one and applications
zbMATH Open document ID: 0891.49012
DOI: 10.1016/S0294-1449(97)80149-7
author: G. Launay
author: Bernard Bonnard
author: Michèle Pelletier
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 1997-07-03T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78406
review text: The authors consider the control system \(v' = X(v)+uY(v)\), \(v\in {\mathbb{R}}^2\) or \({\mathbb{R}}^3\), \(|u|\leq 1\), and a manifold \(N\) of codimension one as target. They study the problem of constructing the optimal closed loop control for the associated minimal time problem localized near the terminal manifold. The analysis is motivated by, and the results are applied to, the problem of controlling a class of chemical systems.
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 93C95
Mathematics Subject Classification ID: 49N60
Mathematics Subject Classification ID: 49N70
Mathematics Subject Classification ID: 49N75
zbMATH DE Number: 1019546
zbMATH Keywords: minimal time
zbMATH Keywords: optimal synthesis
zbMATH Keywords: chemical systems
zbMATH Keywords: optimal closed loop control
reviewed by: Ovidiu Cârjă
MaRDI profile type: Publication
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OpenAlex ID: W2055040404
description: scientific article; zbMATH DE number 1019546