Model-order reduction of large-scale second-order MIMO dynamical systems via a block second-order Arnoldi method

Abstract

In this paper, we present a structure-preserving model-order reduction method for solving large-scale second-order MIMO dynamical systems. It is a projection method based on a block second-order Krylov subspace. We use the block second-order Arnoldi (BSOAR) method to generate an orthonormal basis of the projection subspace. The reduced system preserves the second-order structure of the original system. Some theoretical results are given. Numerical experiments report the effectiveness of this method.

Keywords:

• Reduced-order modelling
• Dynamical systems
• Block second-order Krylov subspace
• Block second-order Arnoldi procedure

Acknowledgements

The authors would like to thank Professor Z. Bai for providing them with the examples and two referees for their helpful suggestions, which greatly improved the paper. Yiqin Lin is supported by the Scientific Research Startup Foundation of Hunan University of Science and Engineering. Yimin Wei is supported by the National Natural Science Foundation of China under grant 10471027 and the Shanghai Education Committee.

Additional information

Notes on contributors

Yiqin Lin

Email: [email protected]

Liang Bao

E-mail: [email protected]