128 citations · 389 across the 86 of their papers we have counts for
6 papers · 1 filter
On the gap between deterministic and probabilistic joint spectral radii for discrete-time linear systems
Yacine Chitour, Guilherme Mazanti, Mario Sigalotti
Given a discrete-time linear switched system associated with a finite set of matrices, we consider the measures of its asymptotic behavior given by, on…
A Geometric Approach of Gradient Descent Algorithms in Linear Neural Networks
Yacine Chitour, Zhenyu Liao, Romain Couillet
In this paper, we propose a geometric framework to analyze the convergence properties of gradient descent trajectories in the context of linear neural networks. We translate a well…
Tilt estimator for 3D non-rigid pendulum based on a tri-axial accelerometer and gyrometer
Mehdi Benallegue, Abdelaziz Benallegue, Yacine Chitour
The paper presents a new observer for tilt estimation of a 3-D non-rigid pendulum. The system can be seen as a multibody robot attached to the environment with a ball joint. There…
Optimal indirect stability of a weakly damped elastic abstract system of second order equations coupled by velocities
Farah Abdallah, Yacine Chitour, Mouhammad Ghader +1
In this paper, by means of the Riesz basis approach, we study the stability of a weakly damped system of two second order evolution equations coupled through the velocities. If the…
Stability analysis of dissipative systems subject to nonlinear damping via Lyapunov techniques
Swann Marx, Yacine Chitour, Christophe Prieur
In this article, we provide a general strategy based on Lyapunov functionals to analyse global asymptotic stability of linear infinite-dimensional systems subject to nonlinear damp…
On the regularity of abnormal minimizers for rank sub-Riemannian structures
Davide Barilari, Yacine Chitour, Frédéric Jean +2
We prove the regularity for a class of abnormal length-minimizers in rank sub-Riemannian structures. As a consequence of our result, all length-minimizers for rank …