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Spectral structures of the generalized companion form and applications

✍ Scribed by Liansheng Tan; A.C. Pugh

Book ID
104300471
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
124 KB
Volume
46
Category
Article
ISSN
0167-6911

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✦ Synopsis

In this note, we investigate the relationship between the ΓΏnite and inΓΏnite frequency structure of a regular polynomial matrix and that of a particular linearization, called the generalized companion matrix. A special resolvent decomposition of the regular polynomial matrix is proposed which is based on the Weierstrass canonical form of this generalized companion matrix and the solution of a regular polynomial matrix description (PMD) is thus formulated from this resolvent decomposition. Both the initial conditions of the pseudostate and the input are considered.

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