DocumentCode
3472227
Title
Construction of Lyapunov functions using Grobner bases
Author
Forsman, K.
Author_Institution
Dept. of Electr. Eng., Kinkoping Univ., Sweden
fYear
1991
fDate
11-13 Dec 1991
Firstpage
798
Abstract
The author shows how Grobner bases can be used when choosing parameters in Lyapunov functions for nonlinear dynamic systems in an optimal way. The method requires the nonlinearities of the system and the Lyapunov function to be of a polynomial type. Some concrete examples of how to apply the method are provided
Keywords
Lyapunov methods; nonlinear control systems; Grobner bases; Lyapunov functions; nonlinear dynamic systems; parameter selection; polynomial-type nonlinearities; Algebra; Concrete; Equations; Lyapunov method; Nonlinear dynamical systems; Optimization methods; Polynomials; Stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location
Brighton
Print_ISBN
0-7803-0450-0
Type
conf
DOI
10.1109/CDC.1991.261424
Filename
261424
Link To Document