Book:John A. Burns/Introduction to The Calculus of Variations and Control with Modern Applications

John A. Burns: Introduction to The Calculus of Variations and Control with Modern Applications

Published $\text {2004}$, Chapman & Hall

ISBN 978-1466571396

Subject Matter

• Calculus of Variations

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