Title :
Stability analysis of three dimensional energy demand-supply systems
Author :
Yi, Yang Kun ; Li, Zhang Ling ; Jie, Zhang
Author_Institution :
College of Science, North China University of Technology, Beijing 100144, P.R. China
Abstract :
This paper considers three dimensional energy demand-supply systems. Stability of the equilibrium points has been analyzed. That is, the sufficient conditions of stability of the equilibrium point O have been obtained, as well as the sufficient and necessary conditions of asymptotical stability of the equilibrium point S2; and the equilibrium point S1 is proven to be always unstable when a1b1 < a2b3N. Furthermore, numerical simulations illustrate effectiveness of our results.
Keywords :
Asymptotic stability; Chaos; Energy resources; Mathematical model; Numerical stability; Stability analysis; Sun; Energy Demand-supply Systems; Equilibrium points; Stability;
Conference_Titel :
Control Conference (CCC), 2015 34th Chinese
Conference_Location :
Hangzhou, China
DOI :
10.1109/ChiCC.2015.7259660