Asymptotic stability implies the existence of a local polynomial Lyapunov function

2012/01/16 by Rungger, M., Kloos, J., Majumdar, R.
#93D05 #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1201.3311

Abstract

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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