Construction of Lyapunov Functions Using Gröbner Bases
1991 (English)Report (Other academic)
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
Lyapunov theory, Polynomial systems, Constructive commutative algebra, Optimization
IdentifiersURN: urn:nbn:se:liu:diva-55334OAI: oai:DiVA.org:liu-55334DiVA: diva2:316048