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
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;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an
