Review on computational methods for Lyapunov functions

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Review on computational methods for Lyapunov functions

Lyapunov functions are an essential tool in the stability analysis of dynamical systems, both in theory and applications. They provide sufficient conditions for the stability of equilibria or more general invariant sets, as well as for their basin of attraction. The necessity, i.e. the existence of Lyapunov functions, has been studied in converse theorems, however, they do not provide a general...

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ژورنال

عنوان ژورنال: Discrete and Continuous Dynamical Systems - Series B

سال: 2015

ISSN: 1531-3492

DOI: 10.3934/dcdsb.2015.20.2291