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Construction of Lyapunov Functions Using Gröbner Bases
Linköping University, Department of Electrical Engineering, Automatic Control. Linköping University, The Institute of Technology.
1991 (English)Report (Other academic)
Abstract [en]

The author shows how Gröbner bases can be used when choosing parameters in Lyapunov functions for nonlinear dynamic systems in an optimal way. The method requires the nonlinearities of the system and the Lyapunov function to be of a polynomial type. Some concrete examples of how to apply the method are provided.

Place, publisher, year, edition, pages
Linköping: Linköping University , 1991.
Series
LiTH-ISY-I, ISSN 8765-4321 ; 1245
Keyword [en]
Lyapunov methods, Nonlinear control systems, Gröbner bases
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:liu:diva-95844OAI: oai:DiVA.org:liu-95844DiVA: diva2:638306
Available from: 2013-07-29 Created: 2013-07-29 Last updated: 2013-07-29

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Automatic ControlThe Institute of Technology
Control Engineering

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