Eugenio Pozzoli

collaborators

5 papers

math.OC2026

Approximate controllability of a bilinear wave equation and minimum time

Karine Beauchard, Thomas Perrin, Eugenio Pozzoli

We study the global approximate controllability (GAC) of a Klein-Gordon wave equation, posed on the torus $T^{d}$ of arbitrary dimension $d \in N^{*}$ , with bilinear c…

math.AP2025

Small-time approximate controllability of the logarithmic Schr\''dinger equation

Karine Beauchard, Rémi Carles, Eugenio Pozzoli

We consider Schr{ö}dinger equations with logarithmic nonlinearity and bilinear controls, posed on $T^{d}$ or $R^{d}$ . We prove their small-time global $L^{2}$ -approxima…

math.SG2025

Orbits and attainable Hamiltonian diffeomorphisms of mechanical Liouville equations

Bettina Kazandjian, Eugenio Pozzoli, Mario Sigalotti

We study the approximate controllability problem for Liouville transport equations along a mechanical Hamiltonian vector field. Such PDEs evolve inside the orbit $$\mathcal{O}(ρ_0)…

math.OC2025

Good Lie Brackets for classical and quantum harmonic oscillators

Andrei Agrachev, Bettina Kazandjian, Eugenio Pozzoli

We study the small-time controllability problem on the Lie groups $S L_{2} (R)$ and $S L_{2} (R) ⋉ H_{d} (R)$ with Lie bracket methods (here $H_{d}(\mathbb{R…

math.OC2025

Approximation of diffeomorphisms for quantum state transfers

Eugenio Pozzoli, Alessandro Scagliotti

In this paper, we seek to combine two emerging standpoints in control theory. On the one hand, recent advances in infinite-dimensional geometric control have unlocked a method for…