DocumentCode
3073793
Title
Constructive algebraic geometry in nonlinear control
Author
Forsman, K. ; Glad, T.
Author_Institution
Dept. of Electr. Eng., Linkoping Univ., Sweden
fYear
1990
fDate
5-7 Dec 1990
Firstpage
2825
Abstract
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
Keywords
algebra; geometry; nonlinear control systems; Grobner bases; Maple; algebraic geometry; critical levels; harmonic balancing method; local Lyapunov functions; nonlinear control; nonlinear systems theory; Algebra; Application software; Computer science; Concrete; Control theory; Geometry; Lyapunov method; Nonlinear equations; Nonlinear systems; Polynomials;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location
Honolulu, HI
Type
conf
DOI
10.1109/CDC.1990.203293
Filename
203293
Link To Document