Virtual and effective control for distributed systems and decomposition of everything
type: Item
instance of: scholarly article
title: Virtual and effective control for distributed systems and decomposition of everything
zbMATH Open document ID: 0964.93043
DOI: 10.1007/BF02791538
published in: Journal d'Analyse Mathématique
publication date: 2001-06-27T00:00:00Z
review text: The author surveys decomposition methods for the solution of optimal control problems for distributed systems, that is, systems described by partial differential equations. These methods are especially important with the use of parallel computation. The author describes the notion of virtual control so that optimal control problems and boundary value problems can be considered in the same framework. This survey is recommended for anyone interested in numerical solutions of optimal control problems for distributed systems.
Mathematics Subject Classification ID: 93C20
Mathematics Subject Classification ID: 93-02
Mathematics Subject Classification ID: 49M27
Mathematics Subject Classification ID: 65Y05
zbMATH DE Number: 1506555
zbMATH Keywords: optimal control
zbMATH Keywords: distributed systems
zbMATH Keywords: domain decomposition
zbMATH Keywords: partial differential equations
zbMATH Keywords: parallel computation
zbMATH Keywords: virtual control
reviewed by: T. E. Duncan
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02791538
OpenAlex ID: W2022903245
author: Jacques-Louis Lions
description: scientific article; zbMATH DE number 1506555