U. Boscain

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20022005

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-level Quantum Systems with an Arbitrary Cost

13 citations · 21 across the 4 of their papers we have counts for

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math.OC2005★ 7 cited

Time Optimal Synthesis for Left--Invariant Control Systems on SO(3)

Ugo Boscain, Yacine Chitour

Consider the control system given by $x ˙ = x (f + ug)$ , where $x \in S O (3)$ , $∣ u ∣ \leq 1$ and $f, g \in so (3)$ define two perpendicular left-invariant vector fields normalized so that $…

math.OC2004

Common Polynomial Lyapunov Functions for Linear Switched Systems

Paolo Mason, Ugo Boscain, Yacine Chitour

In this paper, we consider linear switched systems $x ˙ (t) = A_{u (t)} x (t)$ , $x \in R^{n}$ , $u \in U$ , and the problem of asymptotic stability for arbitrary switching functions, unifo…

math.OC2002

On the $K + P$ Problem for a Three-level Quantum System: Optimality Implies Resonance

Ugo Boscain, Thomas Chambrion, Jean-Paul Gauthier

We apply techniques of subriemannian geometry on Lie groups to laser-induced population transfer in a three-level quantum system. The aim is to induce transitions by two laser puls…

Time Optimal Synthesis for Left--Invariant Control Systems on SO(3)

Common Polynomial Lyapunov Functions for Linear Switched Systems

On the K+P Problem for a Three-level Quantum System: Optimality Implies Resonance

On the $K + P$ Problem for a Three-level Quantum System: Optimality Implies Resonance