Book:George Leitmann/The Calculus of Variations and Optimal Control

George Leitmann: The Calculus of Variations and Optimal Control

Published $\text {1981}$, Springer Science + Business Media

ISBN 978-0306407079

Subject Matter

• Calculus of Variations

Contents

Symbols and Notation

Part 1. Calculus of Variations

1. Introduction

2. Problem Statement and Necessary Conditions for an Extremum

3. Integration of the Euler - Lagrange Equation

4. An Inverse Problem

5. The Weierstrass Necessary Condition

6. Jacobi's Necessary Condition

7. Corner Conditions

8. Concluding Remarks

Part II. Optimal Control

9. Introduction

10. Problem Statement and Optimality

11. Regular Optimal Trajectories

12. Examples of Extremal Control

13. Some Generalizations

14. Special Systems

15. Sufficient Conditions

16. Feedback Control

17. Optimization with Vector - Valued Cost

References

Bibliography

Index