6 papers · 1 filter
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 of arbitrary dimension , with bilinear c…
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 and with Lie bracket methods (here $H_{d}(\mathbb{R…
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…
Small-time approximate controllability of bilinear Schrödinger equations and diffeomorphisms
Karine Beauchard, Eugenio Pozzoli
We consider Schrödinger PDEs, posed on a boundaryless Riemannian manifold , with bilinear control. We propose a new method to prove the global -approximate controllability.…
Examples of small-time controllable Schrödinger equations
Karine Beauchard, Eugenio Pozzoli
A variety of physically relevant bilinear Schrödinger equations are known to be approximately controllable in large times. There are however examples which are approximately contro…
Small-time controllability for the nonlinear Schrödinger equation on via bilinear electromagnetic fields
Alessandro Duca, Eugenio Pozzoli
We address the small-time controllability problem for a nonlinear Schrödinger equation (NLS) on in the presence of magnetic and electric external fields. We choose a…