Calculus of Variations
Mechanics, Control Theory, and Other Applications
Published on 22. July 2004
Book
Hardback
264 pages
978-0-13-142383-1 (ISBN)
Description
For senior level and graduate courses in Calculus of Variations and/or Control Theory, in math or engineering departments.
This is the first truly up-to-date treatment of calculus of variations-and the first to incorporate a simple introduction to key concepts such as optimization, optimal control, bang-bang, Pontryagin's maximum principle, or LQ control design. All material is introduced using simple, easily understood applications that are worked and reprised several times throughout.
This is the first truly up-to-date treatment of calculus of variations-and the first to incorporate a simple introduction to key concepts such as optimization, optimal control, bang-bang, Pontryagin's maximum principle, or LQ control design. All material is introduced using simple, easily understood applications that are worked and reprised several times throughout.
More details
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
Dimensions
Height: 232 mm
Width: 156 mm
Thickness: 22 mm
Weight
440 gr
ISBN-13
978-0-13-142383-1 (9780131423831)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Content
(NOTE: Each chapter concludes with Exercises.)
1. Preliminaries.
2. Optimization.
3. Formulating Variational Problems.
4. The Euler-Lagrange Equations.
5. Constrained Problems.
6. Extremal Surfaces.
7. Optimal Control.
8. The LQ Problem.
9. Weak Sufficiency.
10. Strong Sufficiency.
11. Corner Points.
Appendix A: The Inverse Function Theorem.
Appendix B: Picard's Theorem.
Appendix C: The Divergence Theorem.
Appendix D: A MATLAB Cookbook.
References. Index.
1. Preliminaries.
2. Optimization.
3. Formulating Variational Problems.
4. The Euler-Lagrange Equations.
5. Constrained Problems.
6. Extremal Surfaces.
7. Optimal Control.
8. The LQ Problem.
9. Weak Sufficiency.
10. Strong Sufficiency.
11. Corner Points.
Appendix A: The Inverse Function Theorem.
Appendix B: Picard's Theorem.
Appendix C: The Divergence Theorem.
Appendix D: A MATLAB Cookbook.
References. Index.