On the theorem for nonasymptotic stability in the direct Lyapunov method.
type: Item
instance of: scholarly article
title: On the theorem for nonasymptotic stability in the direct Lyapunov method.
zbMATH Open document ID: 1037.93072
author: Boris Kalitine
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2004-03-15T00:00:00Z
review text: The main concern of this paper is the extension of Lyapunov's first theorem on nonasymptotic stability in a topological setting. The author assumes that a Lyapunov function, which may change its sign, is available and points out the conditions which ensure that a compact, positively invariant set is stable.
Mathematics Subject Classification ID: 93D30
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 37B25
zbMATH DE Number: 2057079
zbMATH Keywords: stability
zbMATH Keywords: attraction
zbMATH Keywords: Lyapunov functions
zbMATH Keywords: topological setting
zbMATH Keywords: positively invariant set
reviewed by: Andrea Bacciotti
MaRDI profile type: Publication
full work available at URL: j.crma.2003.11.026
OpenAlex ID: W2042519969
cites work: Stability for dynamical systems with first integrals: A topological criterion
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cites work: \(B\)-stability and its applications to the Tikhonov and Malkin-Gorshin theorems
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cites work: Q3807590
DOI: 10.1016/J.CRMA.2003.11.026
description: scientific article; zbMATH DE number 2057079