A wider class of stable gyroscopic systems

P. Lancaster; A. S. Markus; F. Zhou

doi:10.1016/S0024-3795(03)00395-1

A wider class of stable gyroscopic systems

P. Lancaster, A. S. Markus, F. Zhou

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

A wider class of stable gyroscopic systems was studied. These systems model an important class of problems in the linear theory of vibrations and are characterized by transfer functions. The results show that stability is retained under a considerably weaker condition.

Original language	English
Pages (from-to)	257-267
Number of pages	11
Journal	Linear Algebra and Its Applications
Volume	370
Issue number	SUPP
DOIs	https://doi.org/10.1016/S0024-3795(03)00395-1
State	Published - 1 Sep 2003

Keywords

Definite eigenvalues
Gyroscopic system
Strong stability

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/S0024-3795(03)00395-1

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title = "A wider class of stable gyroscopic systems",

abstract = "A wider class of stable gyroscopic systems was studied. These systems model an important class of problems in the linear theory of vibrations and are characterized by transfer functions. The results show that stability is retained under a considerably weaker condition.",

keywords = "Definite eigenvalues, Gyroscopic system, Strong stability",

author = "P. Lancaster and Markus, {A. S.} and F. Zhou",

note = "Funding Information: The authors are grateful to a reviewer for stimulating comments which led to significant improvements in this paper. The second-named author acknowledges support of the Department of Mathematics and Statistics, University of Calgary, during a sabbatical leave in which this work was undertaken. The work of all three authors was partially supported by a grant from the Natural Sciences and Engineering Research Council of Canada.",

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T1 - A wider class of stable gyroscopic systems

AU - Lancaster, P.

AU - Markus, A. S.

AU - Zhou, F.

N1 - Funding Information: The authors are grateful to a reviewer for stimulating comments which led to significant improvements in this paper. The second-named author acknowledges support of the Department of Mathematics and Statistics, University of Calgary, during a sabbatical leave in which this work was undertaken. The work of all three authors was partially supported by a grant from the Natural Sciences and Engineering Research Council of Canada.

PY - 2003/9/1

Y1 - 2003/9/1

N2 - A wider class of stable gyroscopic systems was studied. These systems model an important class of problems in the linear theory of vibrations and are characterized by transfer functions. The results show that stability is retained under a considerably weaker condition.

AB - A wider class of stable gyroscopic systems was studied. These systems model an important class of problems in the linear theory of vibrations and are characterized by transfer functions. The results show that stability is retained under a considerably weaker condition.

KW - Definite eigenvalues

KW - Gyroscopic system

KW - Strong stability

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U2 - 10.1016/S0024-3795(03)00395-1

DO - 10.1016/S0024-3795(03)00395-1

M3 - Article

AN - SCOPUS:0037623911

SN - 0024-3795

VL - 370

SP - 257

EP - 267

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - SUPP

ER -

A wider class of stable gyroscopic systems

Abstract

Keywords

ASJC Scopus subject areas

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