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.
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Maße
Höhe: 232 mm
Breite: 156 mm
Dicke: 22 mm
Gewicht
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 Klassifikation
(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.
