@article{JONGENEEL2026106324,
title = {Asymptotic stability equals exponential stability—while you twist your eyes},
journal = {Systems \& Control Letters},
volume = {208},
pages = {106324},
year = {2026},
issn = {0167-6911},
doi = {https://doi.org/10.1016/j.sysconle.2025.106324},
url = {https://www.sciencedirect.com/science/article/pii/S0167691125003068},
author = {Wouter Jongeneel},
keywords = {Dynamical systems, Homotopy invariant, Stability},
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.}
}