عنوان
پدید آورنده
موضوع
رده
QA315 .M46 2009
QA315
.
M46
2009
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0821847724 (alk. paper)
(Number (ISBN
9780821847725 (alk. paper)
NATIONAL BIBLIOGRAPHY NUMBER
Number
dltt
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
A primer on the calculus of variations and optimal control theory /
General Material Designation
[Book]
First Statement of Responsibility
Mike Mesterton-Gibbons
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Providence, R.I. :
Name of Publisher, Distributor, etc.
American Mathematical Society,
Date of Publication, Distribution, etc.
c2009
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xiii, 252 p. :
Other Physical Details
ill. ;
Dimensions
22 cm
SERIES
Series Title
Student mathematical library ;
Volume Designation
v. 50
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index
CONTENTS NOTE
Text of Note
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 -- Jacobi'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
0
TOPICAL NAME USED AS SUBJECT
Calculus of variations
Control theory
Mathematical optimization
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA315
Book number
.
M46
2009
PERSONAL NAME - PRIMARY RESPONSIBILITY
Mesterton-Gibbons, Mike
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
