Asymptotic stability equals exponential stability -- while you twist your eyes
Dynamical Systems
2026-01-12 v3 Systems and Control
Systems and Control
Optimization and Control
Abstract
Suppose that two vector fields on a smooth manifold render some equilibrium point globally asymptotically stable (GAS). We show that there exists a homotopy between the corresponding semiflows such that this point remains GAS along this homotopy.
Cite
@article{arxiv.2411.03277,
title = {Asymptotic stability equals exponential stability -- while you twist your eyes},
author = {Wouter Jongeneel},
journal= {arXiv preprint arXiv:2411.03277},
year = {2026}
}
Comments
Update: only minor changes