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Minimal pencil realizations of rational matrix functions with symmetries

  Published:1998-06-01
 Printed: Jun 1998
  • Ilya Krupnik
  • Peter Lancaster
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Abstract

A theory of minimal realizations of rational matrix functions $W(\lambda)$ in the ``pencil'' form $W(\lambda)=C(\lambda A_1-A_2)^{-1}B$ is developed. In particular, properties of the pencil $\lambda A_1-A_2$ are discussed when $W(\lambda)$ is hermitian on the real line, and when $W(\lambda)$ is hermitian on the unit circle.
MSC Classifications: 93Bxx, 15A23 show english descriptions Controllability, observability, and system structure
Factorization of matrices
93Bxx - Controllability, observability, and system structure
15A23 - Factorization of matrices
 

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