Spectral structures of the generalised companion form and applications
نویسندگان
چکیده
In this note, we investigate the relationship between the finite and infinite frequency structure of a regular polynomial matrix and that of a particular linearization, called the generalised companion matrix. A special resolvent decomposition of the regular polynomial matrix is proposed which is based on the Weierstrass canonical form of this generalised companion matrix and the solution of a regular PMD is thus formulated from this resolvent decomposition. Both the initial conditions of the pseudo state and the input are considered. Corresponding Author: Telephone: Telefax: E-mail: Dr. A. C. Pugh Department of Mathematical Sciences Loughborough University Leicestershire, LE11 3TU, UK +44 (0)1509 223190 +44 (0)1509 211869 [email protected]
منابع مشابه
Spectral structures of the generalized companion form and applications
In this note, we investigate the relationship between the finite and infinite frequency structure of a regular polynomial matrix and that of a particular linearization, called the generalised companion matrix. A special resolvent decomposition of the regular polynomial matrix is proposed which is based on the Weierstrass canonical form of this generalised companion matrix and the solution of a ...
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