207 citations · 831 across the 68 of their papers we have counts for
6 papers · 1 filter
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…
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…
Existence of surfaces optimizing geometric and PDE shape functionals under reach constraint
Yannick Privat, Rémi Robin, Mario Sigalotti
This article deals with the existence of hypersurfaces minimizing general shape functionals under certain geometric constraints. We consider as admissible shapes orientable hypersu…
Chattering Phenomenon in Quantum Optimal Control
R. Robin, U. Boscain, M. Sigalotti +1
We present a quantum optimal control problem which exhibits a chattering phenomenon. This is the first instance of such a process in quantum control. Using the Pontryagin Maximum P…
Upper and lower bounds for the maximal Lyapunov exponent of singularly perturbed linear switching systems
Yacine Chitour, Ihab Haidar, Paolo Mason +1
In this paper we consider the problem of determining the stability properties, and in particular assessing the exponential stability, of a singularly perturbed linear switching sys…
Small-time local controllability of the bilinear Schrödinger equation, despite a quadratic obstruction, thanks to a cubic term
Mégane Bournissou
We consider a 1D linear Schr{ö}dinger equation, on a bounded interval, with Dirichlet boundary conditions and bilinear control. We study its controllability around the ground state…