Title :
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
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;
Conference_Titel :
Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
Conference_Location :
Maui, HI
Print_ISBN :
978-1-4673-2065-8
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2012.6427019
