616 citations · 2.2k across the 70 of their papers we have counts for
9 papers · 1 filter
Stability of continuous-time quantum filters with measurement imperfections
Hadis Amini, Clement Pellegrini, Pierre Rouchon
The fidelity between the state of a continuously observed quantum system and the state of its associated quantum filter, is shown to be always a submartingale. The observed system…
A Flat Triangular Form for Nonlinear Systems with Two Inputs: Necessary and Sufficient Conditions
Hector Bessa Silveira, Paulo Sergio Pereira da Silva, Pierre Rouchon
The present work establishes necessary and sufficient conditions for a nonlinear system with two inputs to be described by a specific triangular form. Except for some regularity co…
Trajectory control of a bipedal walking robot with inertial disc
Carlos Eduardo de Brito Novaes, Paulo Sergio Pereira da Silva, Pierre Rouchon
In this paper we exploit some interesting properties of a class of bipedal robots which have an inertial disc. One of this properties is the ability to control every position and s…
Null controllability of the heat equation using flatness
Philippe Martin, Lionel Rosier, Pierre Rouchon
We derive in a direct and rather straightforward way the null controllability of the N-dimensional heat equation in a bounded cylinder with boundary control at one end of the cylin…
Inertial-sensor bias estimation from brightness/depth images and based on SO(3)-invariant integro/partial-differential equations on the unit sphere
Nadege Zarrouati-Vissiere, Karine Beauchard, Pierre Rouchon
Constant biases associated to measured linear and angular velocities of a moving object can be estimated from measurements of a static scene by embedded brightness and depth sensor…
Quantum Gate Generation by T-Sampling Stabilization
Hector Bessa Silveira, Paulo Sergio Pereira da Silva, Pierre Rouchon
This paper considers right-invariant and controllable driftless quantum systems with state X(t) evolving on the unitary group U(n) and m inputs. The T-sampling stabilization proble…