 |
|
Minimal pencil realizations of rational matrix functions with symmetries |
Canad. Math. Bull. 41(1998), 178-186
Published:1998-06-01
Printed: Jun 1998
Printed: Jun 1998
- Ilya Krupnik
- Peter Lancaster
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 - Controllability, observability, and system structure 15A23 - Factorization of matrices |