DocumentCode
424558
Title
Can any reduced order model be obtained via projection?
Author
Halevi, Yoram
Author_Institution
Fac. of Mechanical Eng., Technion - I.I.T., Haifa, Israel
Volume
1
fYear
2004
fDate
June 30 2004-July 2 2004
Firstpage
113
Abstract
The paper investigates the properties of general reduced order models obtained by projection of a high order system. It answers questions such as are any two models of different orders related by a projection? Is it possible to obtain the same reduced order model using different projections? How to find, if it exists, a projection that relates the two models? It is shown that answers to those questions can be obtained by investigating the properties of a certain matrix pencil. In case the system is square the problem becomes that of a generalized eigenvalue, and in non-square systems the key tool is the Kronecker Canonical Form.
Keywords
eigenvalues and eigenfunctions; reduced order systems; Kronecker Canonical Form; generalized eigenvalue; high order system; matrix pencil; nonsquare systems; reduced order model;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2004. Proceedings of the 2004
Conference_Location
Boston, MA, USA
ISSN
0743-1619
Print_ISBN
0-7803-8335-4
Type
conf
Filename
1383589
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