Lecture 9. Weak Versus Strong Variations 6
Lecture 10. Weierstrass’s Necessary Condition 7
Lecture 11. The Transversality Conditions 8
Lecture 12. Hilbert’s Invariant Integral 9
Lecture 13. The Fundamental Sufficient Condition 10
Appendix 13: The Equations of an Envelope 10
Lecture 14. Jacobi’s Condition Revisited 11
Lecture 15. Isoperimetrical Problems 11
Appendix 15: Constrained Optimization 12
Lecture 16. Optimal Control Problems 12
Lecture 17. Necessary Conditions for Optimality 13
Appendix 17: The Calculus of Variations Revisited 14
Lecture 18. Time-Optimal Control 14
Lecture 19. A Singular Control Problem 15
Lecture 20. A Biological Control Problem 16
Lecture 21. Optimal Control to a General Target 16
Appendix 21: The Invariance of the Hamiltonian 18
Lecture 22. Navigational Control Problems 18
Lecture 23. State Variable Restrictions 19
Lecture 24. Optimal Harvesting 20
Afterword 21
Solutions or Hints for Selected Exercises 22
Bibliography 24
Index 24
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