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
fDate :
7/1/1992 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
