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Canonical structure transitions of system pencils
Dept. Computing Science, Umeå University, Umeå, Sweden.ORCID iD: 0000-0001-9110-6182
Dept. Computing Science, Umeå University, Umeå, Sweden.
Dept. Computing Science, Umeå University, Umeå, Sweden.
2015 (English)Report (Other academic)
Abstract [en]

We investigate the changes under small perturbations of the canonical structure information for a system pencil (A B C D) − s (E 0 0 0), det(E) ≠ 0, associated with a (generalized) linear time-invariant state-space system. The equivalence class of the pencil is taken with respect to feedback-injection equivalence transformation. The results allow to track possible changes under small perturbations of important linear system characteristics.

Place, publisher, year, edition, pages
Umeå: Umeå universitet , 2015. , p. 26
Series
UMINF, ISSN 0348-0542 ; 5
Keywords [en]
Linear system, descriptor system, state-space system, system pencil, matrix pencil, orbit, bundle, perturbation, versal deformation, stratification
National Category
Mathematics Computer and Information Sciences Electrical Engineering, Electronic Engineering, Information Engineering Civil Engineering
Identifiers
URN: urn:nbn:se:oru:diva-74888OAI: oai:DiVA.org:oru-74888DiVA, id: diva2:1332884
Funder
eSSENCE - An eScience CollaborationSwedish Research Council, E048530Available from: 2019-06-28 Created: 2019-06-28 Last updated: 2019-08-06Bibliographically approved

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Dmytryshyn, AndriiJohansson, StefanKågström, Bo
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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf