Title :
Construction of Lyapunov functions using Grobner bases
Author_Institution :
Dept. of Electr. Eng., Kinkoping Univ., Sweden
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;
Conference_Titel :
Decision and Control, 1991., Proceedings of the 30th IEEE Conference on
Conference_Location :
Brighton
Print_ISBN :
0-7803-0450-0
DOI :
10.1109/CDC.1991.261424
