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

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