A. Agrachev

collaborators

3 papers

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.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.DS2025

Generic controllability of equivariant systems and applications to particle systems and neural networks

Andrei Agrachev, Cyril Letrouit

There exist many examples of systems which have some symmetries, and which one may monitor with symmetry preserving controls. Since symmetries are preserved along the evolution, fu…