Title :
Constructive algebraic geometry in nonlinear control
Author :
Forsman, K. ; Glad, T.
Author_Institution :
Dept. of Electr. Eng., Linkoping Univ., Sweden
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;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203293
