3 citations · 6 across the 14 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.FA2022★ 2 cited
Functional determinants for the second variation
Stefano Baranzini
We study the determinant of the second variation of an optimal control problem for general boundary conditions. Generically, this operators are not trace class and the determinant…
math.OC2022
Morse index and determinant of block Jacobi matrices via optimal control
Stefano Baranzini, Ivan Beschastnyi
We describe the relation between block Jacobi matrices and minimization problems for discrete time optimal control problems. Using techniques developed for the continuous case, we…
math.OC2022★ 3 cited
Index theorems for graph-parametrized optimal control problems
Andrei Agrachev, Stefano Baranzini, Ivan Beschastnyi
In this paper we prove Morse index theorems for a big class of constrained variational problems on graphs. Such theorems are useful in various physical and geometric applications.…