The Calculus of Variations and Optimal Control: An Introduction / Edition 1

The Calculus of Variations and Optimal Control: An Introduction / Edition 1

by George Leitmann
     
 

ISBN-10: 0306407078

ISBN-13: 9780306407079

Pub. Date: 05/01/1981

Publisher: Springer US

Product Details

ISBN-13:
9780306407079
Publisher:
Springer US
Publication date:
05/01/1981
Series:
Mathematical Concepts and Methods in Science and Engineering Series, #24
Edition description:
1981
Pages:
312
Product dimensions:
10.00(w) x 7.00(h) x 0.81(d)

Table of Contents

I. 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.- 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.

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