9 citations · 16 across the 9 of their papers we have counts for
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Learning Neural Maximal Lyapunov Functions on
Adeel Akhtar, Matthieu Barreau
Establishing stability guarantees for dynamical systems on Lie groups is a fundamental challenge, as classical Lyapunov methods developed for Euclidean spaces do not directly trans…
Locally Stable Neural ODEs with Characterized Region of Attraction
Alice Harting, Karl Henrik Johansson, Sophie Tarbouriech +1
We propose a class of neural ODEs that universally approximates locally exponentially stable dynamics and the region of attraction from trajectory data. The model dynamics are cons…
Region of Attraction Estimation for Linear Quadratic Regulator, Linear and Robust Model Predictive Control on a Two-Wheeled Inverted Pendulum
Lorenzo Fici, Dalim Wahby, Alvaro Detailleur +2
Nonlinear underactuated systems such as two-wheeled inverted pendulums (TWIPs) exhibit a limited region of attraction (RoA), which defines the set of initial conditions from which…