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Orthogonal canonical forms for second-order systemsThe authors prove that a linear second-order system with arbitrary damping cannot be reduced to Hessenberg-triangular form by means of orthogonal transformations, while this reduction is always possible for the modal damping commonly assumed for models of flexible structures. The type of canonical form obtainable by means of orthogonal transformations acting on a second-order system is heavily dependent on the type of damping considered. If the damping matrix is merely positive semi-definite symmetric, it is generally not possible to obtain a reduction to Hessenberg-triangular form, while this reduction is trivial for zero or Rayleigh damping. If damping is modal, however, as is commonly assumed in structural models, the reduction exists and is nontrivial. Furthermore, reduction to triangular second-order Schur form is always possible for such damping: this canonical form appears likely to have applications to second-order system theory.
Document ID
19890066669
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Williams, Trevor
(NASA Langley Research Center Hampton, VA, United States)
Laub, Alan
(California, University Santa Barbara, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1989
Subject Category
Cybernetics
Meeting Information
Meeting: 1989 American Control Conference
Location: Pittsburgh, PA
Country: United States
Start Date: June 21, 1989
End Date: June 23, 1989
Accession Number
89A54040
Distribution Limits
Public
Copyright
Other

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