The Brachistochrone | |
The fundamental problem | |
Extremals The insufficiency of extremality | |
Important first integrals | |
The du Bois-Reymond equation | |
The corner conditions | |
Legendre's necessary condition | |
Jacobi's necessary condition | |
Weak versus strong variations | |
Weierstrass's necessary condition | |
The transversality conditions | |
Hilbert's invariant integral | |
The fundamental sufficient condition | |
Jacobi's condition revisited | |
Isoperimetrical problems | |
Optimal control problems | |
Necessary conditions for optimality | |
Time-optional control | |
A singular control problem | |
A biological control problem | |
Optimal control to a general target | |
Navigational control problems | |
State variable restrictions | |
Optimal harvesting | |
Afterword Solutions or hints for selected exercises | |
Bibliography | |
Index | |
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