75 citations · 117 across the 18 of their papers we have counts for
15 papers · 1 filter
A Moser-Type Construction for the Liouville Equation
Alfio Borzì, Marco Caponigro, Arianna Vicari
A Moser-type construction for the kinetic Liouville equation is proposed, which is based on a characteristic-adapted interpolation. For Hamiltonian accelerations, the construction…
On the controllability in projections for linear quantum systems
Thomas Chambrion, Nabile Boussaid, Marco Caponigro
We present sufficient conditions for the exact controllability in projection of the linear Schr{ö}dinger equations in the case where the spectrum of the free Hamiltonian is pure po…
Transport maps as flows of control-affine systems
Marco Caponigro, Arianna Vicari
We consider the problem of transporting \nota{one probability measure into another through} the flow of a given driftless control-affine system. Under suitable regularity condition…
On the Ball-Marsden-Slemrod obstruction for bilinear control systems
Nabile Boussaid, Marco Caponigro, Thomas Chambrion
In this paper we present an extension to the case of -controls of a famous result by Ball--Marsden--Slemrod on the obstruction to the controllability of bilinear control syste…
Mean-Field Sparse Jurdjevic--Quinn Control
Marco Caponigro, Benedetto Piccoli, Francesco Rossi +1
We consider nonlinear transport equations with non-local velocity, describing the time-evolution of a measure, which in practice may represent the density of a crowd. Such equation…
Total Variation of the Control and Energy of Bilinear Quantum Systems
Nabile Boussaid, Marco Caponigro, Thomas Chambrion
In the present note, we give two examples of bilinear quantum systems showing good agreement between the total variation of the control and the variation of the energy of solutions…