3 citations · 4 across the 3 of their papers we have counts for
4 papers
Metric completion of with the right-invariant metric
Simone Di Marino, Andrea Natale, Rabah Tahraoui +1
We consider the group of smooth increasing diffeomorphisms Diff on the unit interval endowed with the right-invariant metric. We compute the metric completion of this space w…
Riemannian cubics on the group of diffeomorphisms and the Fisher-Rao metric
Rabah Tahraoui, François-Xavier Vialard
We study a second-order variational problem on the group of diffeomorphisms of the interval [0, 1] endowed with a right-invariant Sobolev metric of order 2, which consists in the m…
On some systems controlled by the structure of their memory
Giuseppe Buttazzo, Rabah Tahraoui
We consider an optimal control problem governed by an ODE with memory playing the role of a control. We show the existence of an optimal solution and derive some necessary optimali…
Hamilton-Jacobi-Bellman equations for the optimal control of a state equation with memory
Guillaume Carlier, Rabah Tahraoui
This article is devoted to the optimal control of state equations with memory of the form: ?[x(t) = F(x(t),u(t), \int_0^{+\infty} A(s) x(t-s) ds), t>0, with initial conditions x(0)…