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1 International Journal of Applied Mathematics and Computer Science

1 2011

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Extracting second-order structures from single-input state-space models: application to model order reduction

Guillet J., Mourllion B., Birouche A., Basset M.

International Journal of Applied Mathematics and Computer Science

2011

Vol. 21, no 3

509-519

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.