We analyze attainable sets of single-input bilinear conservative systems with piecewise
constant controls. Under the assumption that the ambient space admits a Hilbert basis made …

Value iteration is a method to generate optimal control inputs for generic nonlinear systems
and cost functions. Its implementation typically leads to approximation errors, which may …

We consider a linear Schrödinger equation with an unbounded bilinear control term. The
control term is the derivative of function with bounded variations (impulsive control). Well …

We present sufficient conditions for the exact controllability in projection of the linear Schr {\"
o} dinger equations in the case where the spectrum of the free Hamiltonian is pure point. We …

In this paper we study the bilinear-control problem for the linear and non-linear Schrödinger
equation with harmonic potential. By the means of different examples, we show how space …

Given the previous chapters on topology and dynamical system theory, we can now provide
a consistent treatment of topological obstructions to stability and stabilization. In particular …

We study the regularity of solutions of bilinear quantum systems of the type where the state x
belongs to some complex infinite dimensional Hilbert space, the (possibly unbounded) …

We discuss the set of wavefunctions $\psi_V (t) $ that can be obtained from a given initial
condition $\psi_0 $ by applying the flow of the Schr\" odinger operator $-\Delta+ V (t, x) $ and …

Several infinite dimensional bilinear quantum systems encountered in the physics literature
can be described, with good precision, by appropriate finite dimensional approximations …

We extend a well-known non-controllability result of Ball, Marsden, and Slemrod on infinite-
dimensional bilinear systems (with bounded control term) to control-affine semi-linear …