Journal of applied mathematics & informatics
- Volume 25 Issue 1_2
- /
- Pages.293-304
- /
- 2007
- /
- 2734-1194(pISSN)
- /
- 2234-8417(eISSN)
A MODEL-ORDER REDUCTION METHOD BASED ON KRYLOV SUBSPACES FOR MIMO BILINEAR DYNAMICAL SYSTEMS
- Lin, Yiqin (Department of Mathematics and Computational Science, Hunan University of Science and Engineering) ;
- Bao, Liang (Institute of Mathematics, School of Mathematical Sciences, Fudan University, Key Laboratory of Mathematics for Nonlinear Science (Fudan University), Ministry of Education) ;
- Wei, Yimin (Institute of Mathematics, School of Mathematical Sciences, Fudan University, Key Laboratory of Mathematics for Nonlinear Science (Fudan University), Ministry of Education)
- Published : 2007.09.30
Abstract
In this paper, we present a Krylov subspace based projection method for reduced-order modeling of large scale bilinear multi-input multi-output (MIMO) systems. The reduced-order bilinear system is constructed in such a way that it can match a desired number of moments of multi-variable transfer functions corresponding to the kernels of Volterra series representation of the original system. Numerical examples report the effectiveness of this method.