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The General Inner-Outer Factorization Problem for Discrete-Time Systems

Oara, C. and Varga, Andras (1999) The General Inner-Outer Factorization Problem for Discrete-Time Systems. In: Proc. of ECC'99. European Control Conference 1999, ECC99, 1999-08-31 - 1999-09-03, Karlsruhe (Germany).

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Abstract

In this paper we give a theoretical and a computational solution to the most general inner-outer factorization problem formulated for a discrete-time system G. Our method is based on descriptor state-space computations and relies on an efficient dislocation of the minimal indices and of the "unstable" zeros of G by left multiplication with all-pass factors. The minimal indices are dislocated by solving for the stabilizing solution an algebraic Riccati equation of order nl (the sum of left minimal indices) while the nb unstable zeros are dislocated by solving a Lyapunov equation of order nb. The results reported here are a nontrivial extension of a recently developed approach to the continuous-time inner-outer factorization problem.

Item URL in elib:https://elib.dlr.de/11518/
Document Type:Conference or Workshop Item (Speech)
Additional Information:LIDO-Berichtsjahr=1999, monograph_id=CDROM Paper F1018-8,
Title:The General Inner-Outer Factorization Problem for Discrete-Time Systems
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Oara, C.University Polytechnica BucharestUNSPECIFIED
Varga, AndrasUNSPECIFIEDUNSPECIFIED
Date:September 1999
Journal or Publication Title:Proc. of ECC'99
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:Linear systems, inner-outer factorization, numerical methods, descriptor realizations
Event Title:European Control Conference 1999, ECC99
Event Location:Karlsruhe (Germany)
Event Type:international Conference
Event Dates:1999-08-31 - 1999-09-03
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:other
HGF - Program Themes:other
DLR - Research area:Aeronautics
DLR - Program:L - no assignment
DLR - Research theme (Project):L - no assignment (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics (until 2012)
Deposited By: DLR-Beauftragter, elib
Deposited On:15 Mar 2006
Last Modified:31 Jul 2019 19:15

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