7 papers · 1 filter
Enhancing the controllability of quantum systems via a static field
Ruikang Liang, Eugenio Pozzoli, Monika Leibscher +3
We provide a sufficient condition for the controllability of a bilinear closed quantum system steered by a static field and a time-varying field, based on the notion of weakly coni…
Hautus--Yamamoto criteria for approximate and exact controllability of linear difference delay equations
Yacine Chitour, Sébastien Fueyo, Guilherme Mazanti +1
The paper deals with the controllability of finite-dimensional linear difference delay equations, i.e., dynamics for which the state at a given time is obtained as a linear com…
Schr{ö}dinger eigenfunctions sharing the same modulus and applications to the control of quantum systems
Ugo Boscain, Kévin Le Balc'H, Mario Sigalotti
In this paper we investigate when linearly independent eigenfunctions of the Schr\''odinger operator may have the same modulus. General properties are established and the one-dimen…
Ensemble control of n-level quantum systems with a scalar control
Ruikang Liang, Ugo Boscain, Mario Sigalotti
In this paper we discuss how a general bilinear finite-dimensional closed quantum system with dispersed parameters can be steered between eigenstates. We show that, under suitable…
On universal classes of Lyapunov functions for linear switched systems
Paolo Mason, Yacine Chitour, Mario Sigalotti
In this paper we discuss the notion of universality for classes of candidate common Lyapunov functions of linear switched systems. On the one hand, we prove that a family of absolu…
Exponential Consensus Formation in Time-Varying Multiagent Systems via Compactification Methods
Benoît Bonnet-Weill, Mario Sigalotti
In this article, we establish exponential contraction results for the diameter and variance of general first-order multiagent systems. Our approach is based on compactification tec…