5 papers
Open qubit parameter identification with bounded pulses
Ghaieth Aloui, Ivan Beschastnyi, Ludovic Sacchelli
We address the problem of parameter identification for a single open qubit subjected to relaxation and dephasing. Our approach is based on selecting a minimal set of carefully chos…
A case study in ensemble optimal control for Bayesian input design
Ludovic Sacchelli, Alessandro Scagliotti
We discuss the problem of input design for uncertainty reduction in a parameter estimation procedure. Assuming a linear continuous-time control system with noisy measurements, we f…
Uniform, localized asymptotics for sub-Riemannian heat kernels, their logarithmic derivatives, and associated diffusion bridges
Robert W. Neel, Ludovic Sacchelli
We show that the small-time asymptotics of the sub-Riemannian heat kernel, its derivatives, and its logarithmic derivatives can be localized, allowing them to be studied even on in…
Not all sub-Riemannian minimizing geodesics are smooth
Yacine Chitour, Frédéric Jean, Roberto Monti +4
A longstanding open question in sub-Riemannian geometry is the following: are sub-Riemannian length minimizers smooth? We give a negative answer to this question, exhibiting an exa…
Output feedback stabilisation of bilinear systems via control templates
Ludovic Sacchelli, Lucas Brivadis, Ulysse Serres +1
We establish a separation principle for the output feedback stabilisation of state-affine systems that are observable at the stabilization target. Relying on control templates (rec…