Asymptotic stability implies the existence of a local polynomial Lyapunov function
classification
🧮 math.OC
keywords
functionlocallyapunovpolynomialadmitsarbitraryasymptoticasymptotically
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We show that every globally asymptotically stable system with a twice continuously differentiable vector field admits a local polynomial Lyapunov function on an arbitrary bounded neighborhood of the origin.
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