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Decomposition and Simultaneous Projection Methods for Convex Feasibility Problems with Application to robustness Analysis of Interconnected Uncertain Systems
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
University of California Los Angeles, USA.
Lund University, Sweden.
2011 (English)Report (Other academic)
Abstract [en]

In this paper a specific class of convex feasibility problems are considered and tailored algorithms to solve this class of problems are introduced. First, the Nonlinear Cimmino Algorithm is reviewed. Then motivated by the special structure of the problems at hand, a modification to this method is proposed. Next, another method for solving the dual problem of the provided problem is presented. This leads to similar update rules for the variables as in the modified Nonlinear Cimmino Algorithm. Then an application for the proposed algorithms on the robust stability analysis of large scale weakly interconnected systems is presented and the performance of the proposed methods are compared.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2011. , 9 p.
Series
LiTH-ISY-R, ISSN 1400-3902 ; 3012
Keyword [en]
Convex feasibility problems, Robust stability analysis, Decomposition, Simultaneous projection, Distributed
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-97955ISRN: LiTH-ISY-R-3012OAI: oai:DiVA.org:liu-97955DiVA: diva2:650779
Funder
eLLIIT - The Linköping‐Lund Initiative on IT and Mobile Communications
Available from: 2013-09-23 Created: 2013-09-23 Last updated: 2014-09-01Bibliographically approved

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Khoshfetrat Pakazad, SinaHansson, Anders

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • 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
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  • asciidoc
  • rtf