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Block Diagonalization of Matrix-Valued Sum-of-Squares Programs
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
2008 (English)Report (Other academic)
Abstract [en]

Checking non-negativity of polynomials using sum-of-squares has recently been popularized and found many applications in control. Although the method is based on convex programming, the optimization problems rapidly grow and result in huge semidefinite programs. The paper [4] describes how symmetry is exploited in sum-of-squares problems in the MATLAB toolbox YALMIP, but concentrates on the scalar case. This report serves as an addendum, and extends the strategy to matrix-valued sum-of-squares problems. 

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2008. , 10 p.
Series
LiTH-ISY-R, ISSN 1400-3902 ; 2845
Keyword [en]
Optimization, Semidefinite programming
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-56168ISRN: LiTH-ISY-R-2845OAI: oai:DiVA.org:liu-56168DiVA: diva2:316928
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2014-09-02Bibliographically approved

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Löfberg, Johan

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Automatic ControlThe Institute of Technology
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CiteExportLink to record
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Citation style
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  • de-DE
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