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TitleConstruction of Lyapunov Functions Using Gröbner Bases
Author(s) Krister Forsman
TypeTechnical Report, Misc
AbstractIn 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.
KeywordsLyapunov theory, polynomial systems, constructive commutative algebra, optimization
Length5
File
LanguageEnglish
Year1991
Edition0
Translation No
Refereed No
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