Asymptotic stability equals exponential stability -- while you twist your eyes¶
Authors: Wouter Jongeneel
Published: 2024 ()
arXiv: 2411.03277
Summary¶
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.