Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Computation of Signature Symmetric Balanced Realizations

Simple item page
dc.contributor.authorHelmke, Uwe
dc.contributor.authorHueper, Knut
dc.contributor.authorMoore, John
dc.date.accessioned2015-12-13T23:14:02Z
dc.date.available2015-12-13T23:14:02Z
dc.date.issued2003
dc.date.updated2015-12-12T08:36:43Z
dc.description.abstractA new numerical scheme for computing balancing coordinate transformations for signature symmetric realizations in linear systems theory is presented. The method is closely related to the Jacobi method for diagonalizing symmetric matrices. Here the minimization of the sum of traces of the Gramians by orthogonal and hyperbolic Jacobi-type rotations is considered. Local quadratic convergence of the algorithm is shown.
dc.identifier.issn0925-5001
dc.identifier.urihttp://hdl.handle.net/1885/88412
dc.publisherSpringer
dc.sourceJournal of Global Optimization
dc.subjectKeywords: Algorithms; Balancing; Convergence of numerical methods; Mathematical transformations; Matrix algebra; Quadratic convergence; Linear systems Balancing; Cost function; Jacobi method; Quadratic convergence; Signature symmetric realizations
dc.titleComputation of Signature Symmetric Balanced Realizations
dc.typeJournal article
local.bibliographicCitation.lastpage148
local.bibliographicCitation.startpage135
local.contributor.affiliationHelmke, Uwe, College of Engineering and Computer Science, ANU
local.contributor.affiliationHueper, Knut, College of Engineering and Computer Science, ANU
local.contributor.affiliationMoore, John, College of Engineering and Computer Science, ANU
local.contributor.authoruidHelmke, Uwe, v002078
local.contributor.authoruidHueper, Knut, u4593430
local.contributor.authoruidMoore, John, u8202879
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010203 - Calculus of Variations, Systems Theory and Control Theory
local.identifier.ariespublicationMigratedxPub18098
local.identifier.citationvolume27
local.identifier.doi10.1023/A:1024822603531
local.identifier.scopusID2-s2.0-0042929901
local.type.statusPublished Version

Downloads

Collections

ANU Research Publications

DSpace software copyright © 2002-2026 LYRASIS