Asymptotic stability equals exponential stability -- while you twist your eyes
arXiv:2411.03277 · doi:10.1016/j.sysconle.2025.106324
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.
Update: only minor changes