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

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