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The Resource A primer on the calculus of variations and optimal control theory, Mike Mesterton-Gibbons

A primer on the calculus of variations and optimal control theory, Mike Mesterton-Gibbons

Label
A primer on the calculus of variations and optimal control theory
Title
A primer on the calculus of variations and optimal control theory
Statement of responsibility
Mike Mesterton-Gibbons
Creator
Subject
Language
eng
Member of
Cataloging source
DLC
Dewey number
515/.64
Index
index present
LC call number
QA315
LC item number
.M46 2009
Literary form
non fiction
Nature of contents
bibliography
Series statement
Student mathematical library
Series volume
v. 50
Label
A primer on the calculus of variations and optimal control theory, Mike Mesterton-Gibbons
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 245-248) and index
Carrier category
volume
Carrier MARC source
rdacarrier
Content category
text
Content type MARC source
rdacontent
Contents
The brachistochrone -- The fundamental problem. Extremals -- The insufficiency of extremality -- Important first integrals -- The du Bois-Reymond equation -- The corner conditions -- Legendre's necessary condition -- Jocobi's necessary condition -- Weak versus strong variations -- Weierstrass's necessary condition -- The transversality conditions -- Hilbert's invariant integral -- The fundamental sufficient condition -- Jacobi's condition revisited -- Isoperimetrical problems -- Optimal control problems -- Necessary conditions for optimality -- Time-optimal control -- A singular control problem -- A biological control problem -- Optimal control to a general target -- Navigational control problems -- State variable restrictions -- Optimal harvesting
Dimensions
22 cm.
Extent
xiii, 252 p.
Isbn
9780821847725
Isbn Type
(alk. paper)
Lccn
2009007701
Media category
unmediated
Media MARC source
rdamedia
Other physical details
ill.
System control number
  • (OCoLC)ocn310959874
  • (OCoLC)ocn506185927
Label
A primer on the calculus of variations and optimal control theory, Mike Mesterton-Gibbons
Publication
Bibliography note
Includes bibliographical references (p. 245-248) and index
Carrier category
volume
Carrier MARC source
rdacarrier
Content category
text
Content type MARC source
rdacontent
Contents
The brachistochrone -- The fundamental problem. Extremals -- The insufficiency of extremality -- Important first integrals -- The du Bois-Reymond equation -- The corner conditions -- Legendre's necessary condition -- Jocobi's necessary condition -- Weak versus strong variations -- Weierstrass's necessary condition -- The transversality conditions -- Hilbert's invariant integral -- The fundamental sufficient condition -- Jacobi's condition revisited -- Isoperimetrical problems -- Optimal control problems -- Necessary conditions for optimality -- Time-optimal control -- A singular control problem -- A biological control problem -- Optimal control to a general target -- Navigational control problems -- State variable restrictions -- Optimal harvesting
Dimensions
22 cm.
Extent
xiii, 252 p.
Isbn
9780821847725
Isbn Type
(alk. paper)
Lccn
2009007701
Media category
unmediated
Media MARC source
rdamedia
Other physical details
ill.
System control number
  • (OCoLC)ocn310959874
  • (OCoLC)ocn506185927

Library Locations

    • Harold B. Lee Library Brigham Young University, Provo, UT, 84602, US
      40.249156 -111.649242
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