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StratiGraph Tool: Matrix Stratifications in Control Applications
Umeå University, Faculty of Science and Technology, Department of Computing Science. Umeå University, Faculty of Science and Technology, High Performance Computing Center North (HPC2N). (UMIT)
Umeå University, Faculty of Science and Technology, Department of Computing Science. Umeå University, Faculty of Science and Technology, High Performance Computing Center North (HPC2N). (UMIT)
Umeå University, Faculty of Science and Technology, Department of Computing Science. Umeå University, Faculty of Science and Technology, High Performance Computing Center North (HPC2N).
2012 (English)In: Control and Optimization with Differential-Algebraic Constraints / [ed] Lorenz T. Biegler, Stephen L. Champbell, Volker Mehrmann, Philadelphia: Society for Industrial and Applied Mathematics, 2012, 79-103 p.Chapter in book (Refereed)
Abstract [en]

In this contribution, the software tool StratiGraph for computing and visualizing closurehierarchy graphs associated with different orbit and bundle stratifications is presented. Inaddition, we review the underlying theory and illustrate how StratiGraph can be used toanalyze descriptor system models via their associated system pencils. The stratificationtheory provides information for a deeper understanding of how the dynamics of a controlsystem and its system characteristics behave under perturbations.

Place, publisher, year, edition, pages
Philadelphia: Society for Industrial and Applied Mathematics, 2012. 79-103 p.
Series
Advances in Design and Control, 23
Keyword [en]
Stratification, differential-algebraic equations, descriptor systems, Kronecker structures, orbit, bundle, closure hierarchy, cover relations, StratiGraph
National Category
Computational Mathematics Computer Science
Research subject
Numerical Analysis; Automatic Control
Identifiers
URN: urn:nbn:se:umu:diva-61417ISBN: 978-1-611972-24-5 (print)OAI: oai:DiVA.org:umu-61417DiVA: diva2:567586
Funder
eSSENCE - An eScience CollaborationSwedish Foundation for Strategic Research , A3 02:128
Available from: 2012-11-13 Created: 2012-11-13 Last updated: 2016-06-08Bibliographically approved

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Kågström, BoJohansson, StefanJohansson, Pedher

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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
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Output format
  • html
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  • asciidoc
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