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9780821847725

A Primer on the Calculus of Variations and Optimal Control Theory

by
  • ISBN13:

    9780821847725

  • ISBN10:

    0821847724

  • Format: Paperback
  • Copyright: 2009-08-19
  • Publisher: Amer Mathematical Society

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Table of 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
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-optional control
A singular control problem
A biological control problem
Optimal control to a general target
Navigational control problems
State variable restrictions
Optimal harvesting
Afterword Solutions or hints for selected exercises
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

Supplemental Materials

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