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math.OC2024
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.…
math.AP2024
On the small-time bilinear control of a nonlinear heat equation: global approximate controllability and exact controllability to trajectories
Alessandro Duca, Eugenio Pozzoli, Cristina Urbani
In this work we analyse the small-time reachability properties of a nonlinear parabolic equation, by means of a bilinear control, posed on a torus of arbitrary dimension . Under…
math.OC2024
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…