DocumentCode
1800218
Title
A new numerical method to construct global lyapunov function for complex attractors
Author
Wang XinAn ; Yuan RuoShi ; Yuan Bo ; Ao Ping
Author_Institution
Dept. of Comput. Sci. & Eng., Shanghai Jiao Tong Univ., Shanghai, China
fYear
2013
fDate
26-28 July 2013
Firstpage
8213
Lastpage
8215
Abstract
A new numerical method to construct the global Lyapunov function is briefly introduced in this paper. Our method relies on the transversal boundaries in dynamical systems, which could be applied to different types of attractors in different dimensions. We illustrate our method through the example of a two dimensional limit cycle. The structure of global Lyapunov function is consistent with the dynamics of the system.
Keywords
Lyapunov methods; large-scale systems; limit cycles; numerical analysis; complex attractors; dynamical systems; global Lyapunov function; numerical method; transversal boundaries; two dimensional limit cycle; Educational institutions; Equations; Limit-cycles; Lyapunov methods; Mathematical model; Stability analysis; Vectors; high dimensions; limit cycle; robustness; stability;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (CCC), 2013 32nd Chinese
Conference_Location
Xi´an
Type
conf
Filename
6640889
Link To Document