Book:John A. Burns/Introduction to The Calculus of Variations and Control with Modern Applications
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John A. Burns: Introduction to The Calculus of Variations and Control with Modern Applications
Published $\text {2004}$, Chapman & Hall
- ISBN 978-1466571396
Subject Matter
Contents
Preface
Acknowledgments
- I. Calculus of Variations
- 1. Historical Notes on the Calculus of Variations
- 2. Introduction and Preliminaries
- 3. The Simplest Problem in the Calculus of Variations
- 4. Necessary Conditions for Local Minima
- 5. Sufficient Conditions for the Simplest Problem
- 6. Summary for the Simplest Problem
- 7. Extensions and Generalizations
- 8. Applications
- II. Optimal Control
- 9. Optimal Control Problems
- 10. Simplest Problem in Optimal Control
- 11. Extensions of the Maximum Principle
- 12. Linear Control Systems
Bibliography
Index