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A primer on the calculus of variations and optimal control theory
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A primer on the calculus of variations and optimal control theory

Author: Mike Mesterton-Gibbons
Publisher: Providence, R.I. : American Mathematical Society, ©2009.
Series: Student mathematical library, v. 50.
Edition/Format:   Book : EnglishView all editions and formats
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Genre/Form: Lehrbuch
Document Type: Book
All Authors / Contributors: Mike Mesterton-Gibbons
ISBN: 9780821847725 0821847724
OCLC Number: 310959874
Description: xiii, 252 p. : ill. ; 22 cm.
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.
Series Title: Student mathematical library, v. 50.
Responsibility: Mike Mesterton-Gibbons.

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