The general (J, J′)-lossless factorization for descriptor discrete-time systems

Author

Oara, Cristian ; Marinica, Raluca

Author_Institution

Fac. of Autom. Control & Comput., Univ. “Politeh.” Bucharest, Bucharest, Romania

fYear

2012

fDate

10-13 Dec. 2012

Firstpage

220

Lastpage

225

Abstract

We use generalized state-space realizations to give constructive formulas for the (J, J´)-lossless factorization formulated for a discrete-time descriptor system whose transfer function is a completely general rational matrix. Existence conditions together with a numerically-sound prototype algorithm for computing the factors are provided for a system having any type of singularity, including arbitrary normal rank, poles and zeroes at infinity, at zero, or on the unit circle.

Keywords

discrete time systems; matrix algebra; state-space methods; transfer functions; arbitrary normal rank; discrete-time descriptor system; general (J, J´)-lossless factorization; numerically-sound prototype algorithm; rational matrix; state-space realizations; transfer function; unit circle; Indexes; Matrix decomposition; Poles and zeros; Polynomials; Riccati equations; discrete-time systems; factorization methods; generalized linear systems; lossless factorization; matrix Riccati equation;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2012 IEEE 51st Annual Conference on

Conference_Location

Maui, HI

ISSN

0743-1546

Print_ISBN

978-1-4673-2065-8

Electronic_ISBN

0743-1546

Type

conf

DOI

10.1109/CDC.2012.6427019

Filename

6427019