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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)In: Proceedings of the 30th IEEE Conference on Decision and Control, 1991, Vol. 1, 798-799 vol.1 p.Conference paper (Refereed)
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
1991. Vol. 1, 798-799 vol.1 p.
Keyword [en]
Lyapunov methods, Nonlinear control systems, Gröbner bases
National Category
Control Engineering
URN: urn:nbn:se:liu:diva-91672DOI: 10.1109/CDC.1991.261424ISBN: 0-7803-0450-0OAI: diva2:618467
30th IEEE Conference on Decision and Control, Brighton, United Kingdom, December, 1991
Available from: 2013-04-28 Created: 2013-04-28 Last updated: 2013-07-29

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ReferencesLink to record
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