On motion stability relative to a part of the variables under persistent perturbations
type: Item
instance of: scholarly article
title: On motion stability relative to a part of the variables under persistent perturbations
zbMATH Open document ID: 0553.34033
DOI: 10.1016/0021-8928(83)90013-8
author: V. I. Vorotnikov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1984-01-01T00:00:00Z
review text: For linear systems a relation between the coefficients of the characteristic equation of the auxiliary system and the coefficients of the original one are given. From this an algebraic condition for the asymptotic y-stability of linear stationary systems is derived, for the complete controllability and an analogue of Popov's criterion. Stability of the motion of a solid body with one fixed point and under persistent perturbation is investigated.
Mathematics Subject Classification ID: 34D10
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34D99
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 3881090
zbMATH Keywords: characteristic equation
zbMATH Keywords: algebraic condition
zbMATH Keywords: complete controllability
zbMATH Keywords: Popov's criterion
reviewed by: Tadeusz Rzeżuchowski
MaRDI profile type: Publication
full work available at URL: 0021-8928(83)90013-8
OpenAlex ID: W2140900299
cites work: Q5509213
cites work: On stability of motion of linear systems with respect to a part of variables
cites work: On complete controllability and stabilization of motion with respect to some of the variables
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cites work: Q3052790
cites work: On asymptotic stability and instability relative to a part of variables
cites work: Q5594821
cites work: Q3845518
cites work: Absolute stability of nonlinear systems of automatic control
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description: scientific article; zbMATH DE number 3881090