Bettina Kazandjian

activity

20242026

collaborators

5 papers

math.DG2026

The Lie algebra generated by gradient vector fields

Bettina Kazandjian, Omar Mohsen, Eugenio Pozzoli

Let $M$ be a smooth compact manifold, and $g$ a smooth non-degenerate symmetric bilinear form on $T M$ . We prove that every smooth vector field can be written as a finite linear com…

math.OC2026

Approximate controllability on the group of volume-preserving diffeomorphisms

Andrei Agrachev, Bettina Kazandjian

We study controlability issues for the group of volume-preserving diffeomorphisms of the torus $T^{d}$ for system $x ˙ = f (x) + u (t)$ , where $f$ is a fixed divergence free vec…

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.OC2024

Optimal Control for Linear Systems with L1-norm cost

Andrei Agrachev, Bettina Kazandjian

We study L 1 -optimal stabilization of linear systems with finite and infinite horizons. Main results concern the existence, uniqueness and structure of optimal solutions, and the…