Title :
Approximation of large-scaled dynamical systems based on multi-layered hierarchical structure and multiple time scales
Author :
Kurabayashi, Junji ; Tsumura, Koji
Author_Institution :
Dept. of Inf. Phys. & Comput., Univ. of Tokyo, Tokyo, Japan
Abstract :
In this paper, we deal with approximation methods of large-scaled complex systems and derive the condition that the equilibrium point of the error dynamics is exponentially stable. Especially, we propose multi-layered hierarchical model which approximates the large-scaled systems. Our heterogeneous approximation is preferable for preserving the details of a subsystem of our interest and simplifying the other parts of such large-scaled systems. Finally, numerical simulations are demonstrated to show the efficiency.
Keywords :
approximation theory; asymptotic stability; large-scale systems; error dynamics; exponential stability; large-scaled complex system; large-scaled dynamical system; multi-layered hierarchical structure; multilayered hierarchical model; multiple time scales; numerical simulation; Approximation methods; Computational modeling; Large-scale systems; Meteorology; Microscopy; Nonlinear systems; Numerical simulation; Physics computing; Power system modeling; Singular value decomposition; graph decomposition; hierarchical representation; large-scale system; multiple time-scale dynamics;
Conference_Titel :
ICCAS-SICE, 2009
Conference_Location :
Fukuoka
Print_ISBN :
978-4-907764-34-0
Electronic_ISBN :
978-4-907764-33-3
