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Asymptotic stability equals exponential stability -- while you twist your eyes (2411.03277v2)
Published 5 Nov 2024 in math.DS, cs.SY, eess.SY, and math.OC
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.
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