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arXiv · 2411.03277

Asymptotic stability equals exponential stability -- while you twist your eyes

Wouter Jongeneel
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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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Wouter Jongeneel. 2024-11-05. Asymptotic stability equals exponential stability -- while you twist your eyes. https://doi.org/10.1016/j.sysconle.2025.106324

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