Optimal processes governed by integral equations
type: Item
instance of: scholarly article
title: Optimal processes governed by integral equations
zbMATH Open document ID: 0607.49015
DOI: 10.1016/0022-247X(86)90199-X
published in: Journal of Mathematical Analysis and Applications
publication date: 1986-01-01T00:00:00Z
review text: The author considers the problem of minimizing the functional \(\int^{1}_{0}f^ 0(\phi (t),u(t),t)dt\) subject to \[ \phi (t)=f(t)+\int^{t}_{0}L(t,\phi (s),u(s),s)ds,\quad \int^{1}_{0}M(\phi (t),u(t),t)dt+W(\phi (1))=0. \] The author derives optimality conditions using relaxed controls. In the special case where the control set is a convex polyhedron it is shown, from a pointwise minimum principle derived, that the control takes values in the vertices of the polyhedron.
Mathematics Subject Classification ID: 49K99
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 52Bxx
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 3981933
zbMATH Keywords: optimality conditions
zbMATH Keywords: relaxed controls
zbMATH Keywords: convex polyhedron
zbMATH Keywords: pointwise minimum principle
author: Negash G. Medhin
MaRDI profile type: Publication
cites work: A penalty function proof of the maximum principle
cites work: Optimal Control of Processes Described by Integral Equations, III
cites work: Comments on the Paper “Optimal Control of Processes Described by Integral Equations. I” by V. R. Vinokurov
cites work: Q5667133
full work available at URL: 0022-247x(86)90199-x
OpenAlex ID: W2039369241
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description: scientific article; zbMATH DE number 3981933