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Applications of Constructive Algebra to Control Problems
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1990 (English)Licentiate thesis, monograph (Other academic)
Abstract [en]

Constructive algebra consists in solving algebraic problems algorithmically. This thesis consists of two parts; In the first part constructive methods in commutitaive and differential algebra are presented and then compared. In the second part is is showed how constructive algebraic methods, and in particular Gröbner bases, can be applied to some problems in control theory. These problems include design of regulators for linear systems, finding maximal level surfaces of Lyapunov functions and solving the equations that arise in the harmonic balancing method. The methods proposed are illustrated by concrete examples.

Place, publisher, year, edition, pages
Linköping: Linköping University , 1990.
Series
Linköping Studies in Science and Technology. Thesis, ISSN 0280-7971 ; 231
Keyword [en]
Applications of constructive algebra
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-100566ISBN: 91-7870-675-0 (print)OAI: oai:DiVA.org:liu-100566DiVA: diva2:663083
Available from: 2013-11-11 Created: 2013-11-09 Last updated: 2013-11-11Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
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