DocumentCode
1090923
Title
Orthogonal canonical forms for second-order systems
Author
Williams, Trevor ; Laub, Alan J.
Author_Institution
Dept. of Aerosp. Eng. & Eng. Mech., Cincinnati Univ., OH, USA
Volume
37
Issue
7
fYear
1992
fDate
7/1/1992 12:00:00 AM
Firstpage
1050
Lastpage
1052
Abstract
It is shown that a linear second-order system with arbitrary damping cannot be reduced to Hessenberg-triangular form by means of orthogonal transformations. However, it is also shown that such an orthogonal reduction is always possible for the modal damping commonly assumed for models of flexible structures. It is shown that modally damped models can be orthogonally reduced to a new triangular second-order Schur form
Keywords
damping; large-scale systems; linear systems; matrix algebra; arbitrary damping; flexible structures; large scale systems; linear second-order system; matrix algebra; modal damping; orthogonal reduction; triangular second-order Schur form; Aerodynamics; Contracts; Damping; Finite element methods; Flexible structures; Frequency selective surfaces; Military computing; Partial differential equations; Space vehicles; Symmetric matrices;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.148370
Filename
148370
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