Geodesic
Routh-type $L_2$ model reduction revisited
Kybernetika, Tome 54 (2018) no. 3, pp. 557-575.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

A computationally simple method for generating reduced-order models that minimise the $L_2$ norm of the approximation error while preserving a number of second-order information indices as well as the steady-state value of the step response, is presented. The method exploits the energy-conservation property peculiar to the Routh reduction method and the interpolation property of the $L_2$-optimal approximation. Two examples taken from the relevant literature show that the suggested techniques may lead to approximations that are not worse than those afforded by popular more cumbersome techniques.
DOI : 10.14736/kyb-2018-3-0557
Classification : 93A15, 93B11, 93C05
Keywords: model reduction; $L_2$ norm; Routh approximation; steady–state response 
@article{10_14736_kyb_2018_3_0557,
     author = {Krajewski, Wies{\l}aw and Viaro, Umberto},
     title = {Routh-type $L_2$ model reduction revisited},
     journal = {Kybernetika},
     pages = {557--575},
     publisher = {mathdoc},
     volume = {54},
     number = {3},
     year = {2018},
     doi = {10.14736/kyb-2018-3-0557},
     mrnumber = {3844832},
     zbl = {06987022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14736/kyb-2018-3-0557/}
}
TY  - JOUR
AU  - Krajewski, Wiesław
AU  - Viaro, Umberto
TI  - Routh-type $L_2$ model reduction revisited
JO  - Kybernetika
PY  - 2018
SP  - 557
EP  - 575
VL  - 54
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14736/kyb-2018-3-0557/
DO  - 10.14736/kyb-2018-3-0557
LA  - en
ID  - 10_14736_kyb_2018_3_0557
ER  - 
%0 Journal Article
%A Krajewski, Wiesław
%A Viaro, Umberto
%T Routh-type $L_2$ model reduction revisited
%J Kybernetika
%D 2018
%P 557-575
%V 54
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14736/kyb-2018-3-0557/
%R 10.14736/kyb-2018-3-0557
%G en
%F 10_14736_kyb_2018_3_0557
Krajewski, Wiesław; Viaro, Umberto. Routh-type $L_2$ model reduction revisited. Kybernetika, Tome 54 (2018) no. 3, pp. 557-575. doi : 10.14736/kyb-2018-3-0557. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2018-3-0557/

Cité par Sources :