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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]

In this paper we show how so called Grobner bases can be used when choosing parameters in Lyapunov functions for nonlinear dynamical systems in an optimal way. The method suggested requires the nonlinearities of the system and the Lyapunov function to be of polynomial type. Some concrete examples of how to apply the method is provided.

Place, publisher, year, edition, pages
Linköping: Linköping University , 1991. , 5 p.
LiTH-ISY-I, ISSN 8765-4321 ; 1163
Keyword [en]
Lyapunov theory, Polynomial systems, Constructive commutative algebra, Optimization
National Category
Control Engineering
URN: urn:nbn:se:liu:diva-55334OAI: diva2:316048
Available from: 2010-04-29 Created: 2010-04-29 Last updated: 2013-07-28

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Automatic ControlThe Institute of Technology
Control Engineering

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ReferencesLink to record
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