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International Applied Mechanics
Article . 1991 . Peer-reviewed
License: Springer TDM
Data sources: Crossref
image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1991
Data sources: zbMATH Open
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Stability analysis of nonlinear systems on the basis of the matrix Lyapunov function (survey)

Authors: Martynyuk, A. A.;

Stability analysis of nonlinear systems on the basis of the matrix Lyapunov function (survey)

Abstract

Summary: This paper contains a generalized report of the results from development of the Lyapunov direct method on the basis of matrix-functions. Conditions for stability of systems of nonlinear differential equations, singular-disturbed systems, and hybride systems are obtained. A two- component system with weakly interacting subsystems is considered as an example.

Keywords

singular-disturbed systems, Stability for nonlinear problems in mechanics, hybride systems, two-component system, Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems, Lyapunov direct method, matrix-functions

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
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