Representation and Factorization of Discrete-Time Rational All-Pass Functions
Optimization and Control
2015-09-22 v1 Dynamical Systems
Abstract
We obtain a general characterization of discrete-time all-pass rational matrix functions from state-space representations. It can be employed to address model reduction problems in the same vein of the theory developed by Glover in the continuous-time. Besides model reduction, this characterization is shown to be useful in a variety of contexts such as studying LMI's and Riccati equations and especially in the factorization of all-pass functions. The results are obtained in the most general setting, without introducing any {\em ad hoc} assumption.
Cite
@article{arxiv.1509.05868,
title = {Representation and Factorization of Discrete-Time Rational All-Pass Functions},
author = {Augusto Ferrante and Giorgio Picci},
journal= {arXiv preprint arXiv:1509.05868},
year = {2015}
}