Constructive Algebraic Geometry in Nonlinear Control
1990 (English)In: Proceedings of the 29th IEEE Conference on Decision and Control, 1990, Vol. 5, 2825-2827 p.Conference paper (Refereed)
It is shown how Grobner bases can be used to solve some common problems in nonlinear systems theory efficiently. These problems include finding critical levels of local Lyapunov functions and solving the equations that arise in the harmonic balancing method. The methods proposed are illustrated by some concrete examples in which the computer algebra system Maple is used for performing the necessary calculations.
Place, publisher, year, edition, pages
1990. Vol. 5, 2825-2827 p.
Algebraic geometry, Nonlinear control systems, Lyapunov method
IdentifiersURN: urn:nbn:se:liu:diva-91626DOI: 10.1109/CDC.1990.203293OAI: oai:DiVA.org:liu-91626DiVA: diva2:626216
29th IEEE Conference on Decision and Control, Honolulu, HI, USA, December, 1990