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

Format:

Book

Author/Creator:

Mesterton-Gibbons, Mike, author.

Series:

Student mathematical library ; v. 50.

The Student Mathematical Library ; v. 50

Language:

English

Subjects (All):

Calculus of variations.

Control theory.

Mathematical optimization.

Physical Description:

1 online resource (xiii, 252 pages) : illustrations.

Other Title:

Student Mathematical Library.

Place of Publication:

Providence, R.I. : American Mathematical Society, [2009]

System Details:

text file

Contents:

Lecture 1. The Brachistochrone Lecture 2. The fundamental problem. Extremals Lecture 3. The insufficiency of extremality Lecture 4. Important first integrals Lecture 5. The du Bois-Reymond equation Lecture 6. The corner conditions Lecture 7. Legendre's necessary condition Lecture 8. Jacobi's necessary condition Lecture 9. Weak versus strong variations Lecture 10. Weierstrass's necessary condition Lecture 11. The transversality conditions Lecture 12. Hilbert's invariant integral Lecture 13. The fundamental sufficient condition Lecture 14. Jacobi's condition revisited Lecture 15. Isoperimetrical problems Lecture 16. Optimal control problems Lecture 17. Necessary conditions for optimality Lecture 18. Time-optimal control Lecture 19. A singular control problem Lecture 20. A biological control problem Lecture 21. Optimal control to a general target Lecture 22. Navigational control problems Lecture 23. State variable restrictions Lecture 24. Optimal harvesting Afterword Solutions or hints for selected exercises

Notes:

Includes bibliographical references and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Description based on print version record.

Other Format:

Print version: Mesterton-Gibbons, Mike. primer on the calculus of variations and optimal control theory /

ISBN:

9781470416355

Access Restriction:

Restricted for use by site license.