File:An optimal control formulation of the Blaschke-Lebesgue theorem (IA optimalcontrolfo00ghan).pdf

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Summary[edit]

An optimal control formulation of the Blaschke-Lebesgue theorem   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
Ghandehari, Mostafa.
image of artwork listed in title parameter on this page
Title
An optimal control formulation of the Blaschke-Lebesgue theorem
Publisher
Monterey, California : Naval Postgraduate School
Description
Cover title
"NPS-55-88-008."
"August 1988."
AD A200 939
Includes bibliographical references (p. 15-16)
The Blaschke-Lebesgue theorem states that of all plane sets of given constant width the Reuleaux triangle has least area. The area to be minimized is a functional involving the support function and the radius of curvature of the set. The support function satisfies a second order ordinary differential equation where the radius of curvature is the control parameter. The radius of curvature of a plane set of constant width is non-negative and bounded above. Thus we can formulate and analyze the Blaschke-Lebesgue theorem as an optimal control problem. Keywords: Calculus of variation and optimal control. (KR) Limitation Statement:
aq/aq cc:9116 07/18/97

Subjects: THEOREMS.; PLANE GEOMETRY.
Language en_US
Publication date August 1988
publication_date QS:P577,+1988-08-00T00:00:00Z/10
Current location
IA Collections: navalpostgraduateschoollibrary; fedlink; americana
Accession number
optimalcontrolfo00ghan
Notes some content may be lost due to the binding of the book.
Authority file  OCLC: 1050249799
Source
Internet Archive identifier: optimalcontrolfo00ghan
https://archive.org/download/optimalcontrolfo00ghan/optimalcontrolfo00ghan.pdf

Licensing[edit]

Public domain
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