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Constructive Algebraic Geometry in Nonlinear Control
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.
1990 (English)Report (Other academic)
Abstract [en]

This paper shows how Gröbner bases can be used to solve some common problems in nonlinear systems theory efficiently. These problems include finding critical levels of local Lyapunov functions and solving the equations that arise in the harmonic balancing method. The methods proposed are illustrated by some concrete examples in which the computer algebra system Maple is used for performing the necessary calculations.

Place, publisher, year, edition, pages
Linköping: Linköping University , 1990. , 7 p.
Series
LiTH-ISY-I, ISSN 8765-4321 ; 1111
Keyword [en]
Algebraic geometry, Nonlinear control systems, Lyapunov method
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-55415OAI: oai:DiVA.org:liu-55415DiVA: diva2:316190
Available from: 2010-04-30 Created: 2010-04-30 Last updated: 2013-07-28

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fulltext(133 kB)25 downloads
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Glad, Torkel

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Citation style
  • apa
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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
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