An optimal control formulation of the Blaschke-Lebesgue theorem
By: Mostafa Ghandehari
Contributors: Naval Postgraduate School (U.S.). Dept. of Mathematics
Publisher: Naval Postgraduate School; Available from National Technical Information Service
Published: 1988
Place of publication: Monterey, Calif; Springfield, Va
Language: eng
Number of pages: 20
Subjects: PLANE GEOMETRY; THEOREMS
Other titles: NPS-53-88-008.
Description: 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:
Notes: Cover title.

"NPS-55-88-008."

"August 1988."

AD A200 939.

Includes bibliographical references (p. 15-16).

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