عنوان
پدید آورنده
موضوع
رده
QA315 .M46 2009
QA315
.
M46
2009
کتابخانه
محل استقرار
0821847724 (alk. paper)
9780821847725 (alk. paper)
dltt
A primer on the calculus of variations and optimal control theory /
[Book]
Mike Mesterton-Gibbons
Providence, R.I. :
American Mathematical Society,
c2009
xiii, 252 p. :
ill. ;
22 cm
Student mathematical library ;
v. 50
Includes bibliographical references and index
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
Calculus of variations
Control theory
Mathematical optimization
QA315
.
M46
2009
Mesterton-Gibbons, Mike
مطالعه متن کتاب [Book]
Y
