liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
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
  • text
  • asciidoc
  • rtf
Invariant Sets for a Class of Hybrid Systems
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1998 (English)Report (Other academic)
Abstract [en]

A method for computing invariant sets of piecewise affine systems is presented. The method is based on convex optimization techniques and linear matrix inequalities. We show how to compute invariant ellipsoids, quadratic cones, and paraboloids for affine systems which contain initial sets of different form such as polytopes, ellipsoids, and degenerate ellipsoids. An invariant set for a piecewise affine system can be computed by an iterative procedure that utilizes these types of computations.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 1998. , 20 p.
Series
LiTH-ISY-R, ISSN 1400-3902 ; 2025
Keyword [en]
Piecewise affine systems, Optimization
Keyword [sv]
Maskinelement Servomekanismer Automation, Matematik Variationskalkyl Optimering
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-55641ISRN: LITH-ISY-R-2025OAI: oai:DiVA.org:liu-55641DiVA: diva2:316433
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2014-09-18Bibliographically approved

Open Access in DiVA

Invariant Sets for a Class of Hybrid Systems(373 kB)79 downloads
File information
File name FULLTEXT02.pdfFile size 373 kBChecksum SHA-512
4f27b0fcd3b3d51f8da3348d1ef2103e17ee70fa78817c3439460cfd0775dc1a76ffc68c1b8cc8179b9297ee99e97bbd6e5bd741db9f095fb534b58096e19a2e
Type fulltextMimetype application/pdf
fulltext(1192 kB)85 downloads
File information
File name FULLTEXT01.psFile size 1192 kBChecksum SHA-512
618f69ce95a7a24690bb019fc26de1ab3ee612421aa69336fd547bafec804bc7c7d821c594a5e2f218451a4f7eaf622c88dd778d9997092121c16077febd1168
Type fulltextMimetype application/postscript

By organisation
Automatic ControlThe Institute of Technology
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar
Total: 164 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

urn-nbn

Altmetric score

urn-nbn
Total: 36 hits
CiteExportLink to record
Permanent link

Direct link
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
  • text
  • asciidoc
  • rtf