Optimal feedback control for a class of bottleneck problems
type: Item
instance of: scholarly article
title: Optimal feedback control for a class of bottleneck problems
zbMATH Open document ID: 0579.49018
DOI: 10.1016/0022-247X(85)90287-2
published in: Journal of Mathematical Analysis and Applications
publication date: 1985-01-01T00:00:00Z
review text: The aim of this paper is to obtain the optimal feedback control for a control problem which is a model for the bottleneck problem in production processes. A linear, time-dependent plant with state vector x(.) is controlled by a control u(.) satisfying \(0\leq u(t)\leq Q(t)x(t)\) a.e. on \([t_ 0,T]\). It is desired to choose such a control so as to minimize a linear function of x(T). The author uses sufficient conditions to characterize an open-loop optimal control, from which he derives a closed-loop one.
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 90B30
Mathematics Subject Classification ID: 93C15
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C99
zbMATH DE Number: 3927767
zbMATH Keywords: optimal feedback control
zbMATH Keywords: bottleneck problem
author: Ştefan Mirică
MaRDI profile type: Publication
cites work: Q3241581
cites work: Q5737099
cites work: Q4743352
cites work: On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
cites work: Q5574288
cites work: Q3317650
cites work: Q4165816
full work available at URL: 0022-247x(85)90287-2
OpenAlex ID: W2148180885
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description: scientific article; zbMATH DE number 3927767