Abstract:
The generalized Dido problem is stated as an optimal control
problem in 5-dimensional space with 2-dimensional control
and quadratic cost functional, which is a nilpotent
sub-Riemannian problem with the growth vector (2, 3, 5). Extremals of
this problem are parametrized by Jacobian elliptic functions.
Fulltext:
PDF file (508 kB)
