RT Journal Article
ID 22ecf3936ad5ab41
A1 Xu, Kang-Li
A1 Yang, Zhi-Xia
A1 Jiang, Yao-Lin
T1 ORDER-REDUCED MODELS BASED ON TWO SIDES TECHNIQUES FOR INPUT-OUTPUT SYSTEMS GOVERNED BY DIFFERENTIAL- ALGEBRAIC EQUATIONS
JF International Journal for Multiscale Computational Engineering
JO JMC
YR 2015
FD 2015-05-21
VO 13
IS 3
SP 219
OP 230
K1 model order reduction
K1 differential-algebraic equation systems
K1 multi-input and multi-output
K1 dual-weighted H2 norm
K1 modified Lanczos method
AB In this paper, a new model order reduction method is presented for solving large-scale differential-algebraic equation (DAE) systems. By nonsingular matrix transforms, the large-scale DAE system is decomposed into an ordinary differential equation (ODE) subsystem and a DAE subsystem with the same index as the original system. A dual weighted H2 model order reduction method is used to reduce the ODE subsystem, which can avoid the problem of large calculation caused by solving the Lyapunov equations. In order to keep the stability of the original DAE subsystem, we present a modified Lanczos model reduction (MLMR) method, which can produce a reduced-order model with better performances. Numerical experiments illustrate the effectiveness of our method.
PB Begell House
LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,2906a3f51d153722,22ecf3936ad5ab41.html