This paper focuses on the model order reduction problem of second-order form models. The aim is to provide a reduction procedure which guarantees the preservation of the physical structural conditions of second-order form models. To solve this problem, a new approach has been developed to transform a second-order form model from a state-space realization which ensures the preservation of the structural conditions. This new approach is designed for controllable single-input state-space realizations with real matrices and has been applied to reduce a single-input second-order form model by balanced truncation and modal truncation.
@article{bwmeta1.element.bwnjournal-article-amcv21i3p509bwm, author = {J\'er\^ome Guillet and Benjamin Mourllion and Abderazik Birouche and Michel Basset}, title = {Extracting second-order structures from single-input state-space models: Application to model order reduction}, journal = {International Journal of Applied Mathematics and Computer Science}, volume = {21}, year = {2011}, pages = {509-519}, zbl = {1234.93027}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv21i3p509bwm} }
Jérôme Guillet; Benjamin Mourllion; Abderazik Birouche; Michel Basset. Extracting second-order structures from single-input state-space models: Application to model order reduction. International Journal of Applied Mathematics and Computer Science, Tome 21 (2011) pp. 509-519. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv21i3p509bwm/
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