TY - GEN
T1 - Reducing second order systems by an integrated state space and back conversion procedure
AU - Salimbahrami, Behnam
AU - Lohmann, Boris
AU - Grotmaack, Rike
AU - Bunse-Gerstner, Angelika
N1 - Funding Information:
This work is partially supported by German Research Council (DFG).
PY - 2005
Y1 - 2005
N2 - The Arnoldi algorithm is modified to match the first Markov parameter and some of the first moments in order reduction of large scale systems while preserving the properties of the standard Arnoldi algorithm: an upper Hessenberg matrix as a coefficient of ẋr, the identity matrix as a coefficient of xr, and a multiple of the first unit vector as the input vector. These properties are then used for the reduction of large scale second order models by first reducing in state space and then converting into second order form by introducing a numerical algorithm.
AB - The Arnoldi algorithm is modified to match the first Markov parameter and some of the first moments in order reduction of large scale systems while preserving the properties of the standard Arnoldi algorithm: an upper Hessenberg matrix as a coefficient of ẋr, the identity matrix as a coefficient of xr, and a multiple of the first unit vector as the input vector. These properties are then used for the reduction of large scale second order models by first reducing in state space and then converting into second order form by introducing a numerical algorithm.
KW - Large scale systems
KW - Markov parameters
KW - Model reduction
KW - Reduced-order models
KW - Second-order systems
UR - https://www.scopus.com/pages/publications/79960735489
U2 - 10.3182/20050703-6-cz-1902.00102
DO - 10.3182/20050703-6-cz-1902.00102
M3 - Conference contribution
AN - SCOPUS:79960735489
SN - 008045108X
SN - 9780080451084
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 608
EP - 613
BT - Proceedings of the 16th IFAC World Congress, IFAC 2005
PB - IFAC Secretariat
ER -