58 citations · 120 across the 29 of their papers we have counts for
32 papers
Factor-parity Hall sets and controllability
Karine Beauchard, Frédéric Marbach
We introduce a class of Hall sets, which we call factor-parity Hall sets, whose elements split into good and bad brackets. We prove that the good brackets can be steered simultaneo…
Some quartic control results for scalar-input systems
Karine Beauchard, Frédéric Marbach
We investigate the role of quartic terms in the small-time local controllability of scalar-input systems. First, we prove a new sufficient condition for controllability, which expl…
Convergent realizations of Lie subalgebras
Karine Beauchard, Jérémy Le Borgne, Frédéric Marbach
It has been known since the seminal work of Guillemin and Sternberg that Lie subalgebras of finite codimension of an arbitrary real or complex Lie algebra can be realized as subalg…
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…
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 or . We prove their small-time global -approxima…
Small-time local control of a Schrödinger equation: a negative and a positive quadratic result
Karine Beauchard, Frédéric Marbach, Thomas Perrin
We study the small-time local controllability (STLC) of a bilinear Schrödinger equation with Neumann boundary conditions near its ground state. We focus on the degenerate case wher…