A wider class of stable gyroscopic systems
type: Item
instance of: scholarly article
title: A wider class of stable gyroscopic systems
zbMATH Open document ID: 1029.15007
DOI: 10.1016/S0024-3795(03)00395-1
author: D. Massart
published in: Linear Algebra and its Applications
publication date: 2003-08-25T00:00:00Z
review text: Gyroscopic systems are studied. They model an important class of problems in the linear theory of vibrations. They are characterized by the transfer function of the form \[ L(\lambda)= \lambda^2 I+ B+ C, \] where \(C> 0\), \(B\) is indefinite and invertible. They are stable at \[ |B|> kI+ k^{-1}C \] for real \(k> 0\). Stability is retained at considerably weaker conditions.
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 70E05
Mathematics Subject Classification ID: 70J25
Mathematics Subject Classification ID: 15A22
zbMATH DE Number: 1970624
zbMATH Keywords: gyroscopic system
zbMATH Keywords: strong stability
zbMATH Keywords: definite eigenvalues
zbMATH Keywords: linear theory of vibrations
MaRDI profile type: Publication
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full work available at URL: s0024-3795(03)00395-1
OpenAlex ID: W1989944574
description: scientific article; zbMATH DE number 1970624