3 papers
math.OC2026
Data-driven approximation of regions of attraction via an LP-based selection of PWA Lyapunov functions
Oumayma Khattabi, Matteo Tacchi-Bénard, Martin Gulan +1
This paper presents a method to approximate regions of attraction of unknown nonlinear dynamical systems from data. Assuming point-wise evaluations of the vector field and known Li…
eess.SY2025
Convex computation of regions of attraction from data using Sums-of-Squares programming
Oumayma Khattabi, Matteo Tacchi, Sorin Olaru
This paper focuses on the analysis of the Region of Attraction (RoA) for unknown autonomous dynamical systems. A data-driven approach based on the moment-Sum-of-Squares (SoS) hiera…
eess.SY2025
Sequentially learning regions of attraction from data
Oumayma Khattabi, Matteo Tacchi-Bénard, Sorin Olaru
The paper is dedicated to data-driven analysis of dynamical systems. It deals with certifying the basin of attraction of a stable equilibrium for an unknown dynamical system. It is…