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
Applications of Gröbner Bases to Nonlinear Systems
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1991 (English)Report (Other academic)
Abstract [en]

Some problems within nonlinear control theory are stated and solved using so called Groebner bases from commutative algebra. The first problem is the one of stability and performance robustness of nonlinear systems subject to structured uncertainty. It is assumed that a Lyapunov function is given, and the quality of the solution depends on this Lyapunov function. It is also indicated how the robustness problem can be reinterpreted in different ways, e.g. in terms of controller design. The second problem is the one of finding a differential equation connecting the input and the output of a system starting from a state space description of it. In all cases the nonlinearities are required to be of polynomial type. The methods suggested are illustrated with concrete examples.

Place, publisher, year, edition, pages
Linköping: Linköping University , 1991.
Series
LiTH-ISY-I, ISSN 8765-4321 ; 1180
Keyword [en]
Nonlinear control systems, Commutative algebra, Lyapunov theory, Stability robustness, Performance robustness, State space equations, Input-output equation
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-55339OAI: oai:DiVA.org:liu-55339DiVA: diva2:316042
Available from: 2010-04-29 Created: 2010-04-29 Last updated: 2013-07-28

Open Access in DiVA

fulltext(163 kB)17 downloads
File information
File name FULLTEXT01.psFile size 163 kBChecksum SHA-512
2ebbe7652c3de356694cacac92472fe0ba36d3012a64433caed490c9626e653a09ce70bcd31f08bb062cabf3326976f47f6043c609d289d91c83f8ddcf3ea155
Type fulltextMimetype application/postscript

By organisation
Automatic ControlThe Institute of Technology
Control Engineering

Search outside of DiVA

GoogleGoogle Scholar
Total: 17 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: 42 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