TY - JOUR
T1 - Model order reduction methods for coupled systems in the time domain using Laguerre polynomials
AU - Wang, Xiao Long
AU - Jiang, Yao Lin
PY - 2011/10
Y1 - 2011/10
N2 - In this paper, based on Laguerre polynomials, we present new methods for model reduction of coupled systems in the time domain. By appropriately selected projection matrices, a reduced order system is produced to retain the topology structure of the original system. Meanwhile, it preserves a desired number of Laguerre coefficients of the system's output, thereby providing good approximation accuracy. We also study the two-sided projection method in the time domain, as well as the stability of reduced order systems. Two numerical examples are used to illustrate the efficiency of the proposed methods.
AB - In this paper, based on Laguerre polynomials, we present new methods for model reduction of coupled systems in the time domain. By appropriately selected projection matrices, a reduced order system is produced to retain the topology structure of the original system. Meanwhile, it preserves a desired number of Laguerre coefficients of the system's output, thereby providing good approximation accuracy. We also study the two-sided projection method in the time domain, as well as the stability of reduced order systems. Two numerical examples are used to illustrate the efficiency of the proposed methods.
KW - Coupled systems
KW - Function approximation
KW - Laguerre polynomials
KW - Model reduction
KW - Structure preservation
UR - https://www.scopus.com/pages/publications/80053386275
U2 - 10.1016/j.camwa.2011.08.039
DO - 10.1016/j.camwa.2011.08.039
M3 - 文章
AN - SCOPUS:80053386275
SN - 0898-1221
VL - 62
SP - 3241
EP - 3250
JO - Computers and Mathematics with Applications
JF - Computers and Mathematics with Applications
IS - 8
ER -