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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)In: Proceedings of the 29th IEEE Conference on Decision and Control, 1990, Vol. 5, 2825-2827 p.Conference paper, Published paper (Refereed)
Abstract [en]

It is shown how Grobner 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
1990. Vol. 5, 2825-2827 p.
Keyword [en]
Algebraic geometry, Nonlinear control systems, Lyapunov method
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-91626DOI: 10.1109/CDC.1990.203293OAI: oai:DiVA.org:liu-91626DiVA: diva2:626216
Conference
29th IEEE Conference on Decision and Control, Honolulu, HI, USA, December, 1990
Available from: 2013-06-07 Created: 2013-04-28 Last updated: 2013-07-28

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Glad, Torkel

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