We consider the one dimensional Schrödinger equation with a bilinear control and prove the
rapid stabilization of the linearized equation around the ground state. The feedback law …

We consider a system of an arbitrary number of 1d linear Schrödinger equations on a
bounded interval with bilinear control. We prove global exact controllability in large time of …

We propose a method to establish the rapid stabilization of the bilinear Schr\" odinger
control system and its linearized system, and the finite time stabilization of the linearized …

We consider scalar-input control systems in the vicinity of an equilibrium, at which the
linearized systems are not controllable. For finite dimensional control systems, the authors …

We study a system composed of a free quantum particle trapped in a box whose walls can
change their position. We prove the global approximate controllability of the system: any …

We study the exponential stabilization problem for a nonlinear Korteweg-de Vries equation
on a bounded interval in cases where the linearized control system is not controllable. The …

The finite-dimensional dynamical control system described by scalar semilinear ordinary
differential state equation with delay is considered in this paper. The semilinear state …

We consider a 1D linear Schr {\" o} dinger equation, on a bounded interval, with Dirichlet
boundary conditions and bilinear control. We study its controllability around the ground state …

We consider the 1D nonlinear Schr\" odinger equation with bilinear control. In the case of
Neumann boundary conditions, local exact controllability of this equation near the ground …

The aim of this work is to study the controllability of infinite bilinear Schr\" odinger equations
on a segment. We consider the equations (BSE) $ i\partial_t\psi^{j}=-\Delta\psi^ j+ u (t) B\psi …