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Computation of Kronecker-like Forms of a System Pencil: Applications,Algorithms and Software.

Varga, A. (1996) Computation of Kronecker-like Forms of a System Pencil: Applications,Algorithms and Software. In: Proc. CACSD '96, 77-82, 22 Lit.. CACSD, Paderborn.

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Abstract

The reduction of system pencils to Kronecker-like canonical forms by orthogonal similiarity transformations has many important applilcations, as for example: in the poles-zeros analysis of a system; in the structural analysis of a system (controllability, stabilizability, observability, detectability); in computing inverse systems; in computing miniimum-phase factorizations of transfer-function matrices; in solving constrainted matrix Riccati equations; in computing the Kronecker's canonical form of a general pencil. The reduction of system pencils can be performed by specially tailored 0(n<sup>3</sup>) complexity numerically stable algorithms. The reduction technique can be also applied without modification to the more general case of an arbitrary pencil. A modular collection of LAPACK compatible FORTRAN 77 subroutines to perform the reduction of system pencil to several Kronecker-like forms is presented. Several lower level subroutines are useful in solving efficiently the above mentioned applications. A complete set of test programs together with a collection of test data accompanies the basic computational software.

Item URL in elib:https://elib.dlr.de/28500/
Document Type:Conference or Workshop Item (Paper)
Additional Information:LIDO-Berichtsjahr=1996,
Title:Computation of Kronecker-like Forms of a System Pencil: Applications,Algorithms and Software.
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Varga, A.UNSPECIFIEDUNSPECIFIED
Date:1996
Journal or Publication Title:Proc. CACSD '96, 77-82, 22 Lit.
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Status:Published
Keywords:Kronecker's canonical form; descriptor systems; controllability; observability; system inversion; numerical algorithms; numerical control software.
Event Title:CACSD
Event Location:Paderborn
Event Type:international Conference
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Flexible Aircraft (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics (until 2012) > Institut für Dynamik der Flugsysteme
Deposited By: DLR-Beauftragter, elib
Deposited On:02 Apr 2006
Last Modified:31 Jul 2019 19:17

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