Stability with respect to a specified number of variables
type: Item
instance of: scholarly article
title: Stability with respect to a specified number of variables
zbMATH Open document ID: 0628.70022
DOI: 10.1016/0021-8928(86)90119-X
author: V. I. Vorotnikov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1986-01-01T00:00:00Z
review text: The stability with respect to a specified number of variables (specified quantitatively) is considered, the set of which changes depending on the initial conditions. The stability conditions of the form considered are derived using the Lyapunov-function method. The problem of the quenching of rotational motions with respect to the centre of mass of an asymptotic solid is examined; it is shown that the ``twist'' of a body with respect to one of the principal axes of its ellipsoid of inertia is possible using only one ``fixed jet engines'' for any large initial perturbations.
Mathematics Subject Classification ID: 70K20
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 4022698
zbMATH Keywords: stability conditions
zbMATH Keywords: Lyapunov-function method
zbMATH Keywords: rotational motions
MaRDI profile type: Publication
cites work: Q3243644
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cites work: On the stability of motion relative to part of the variables for certain nonlinear systems
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full work available at URL: 0021-8928(86)90119-x
OpenAlex ID: W1982760846
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description: scientific article; zbMATH DE number 4022698