Two-sided Grassmann manifold algorithm for optimal H2 model reduction
Taishan Zeng; Chunyuan Lu
刊名International Journal for Numerical Methods in Engineering
2015
英文摘要We consider an optimal H2 model reduction problem for large-scale dynamical systems. The problem is formulated as a minimization problem over Grassmann manifold with two variables. This formulation allows us to develop a two-sided Grassmann manifold algorithm, which is numerically efficient and suitable for the reduction of large-scale systems. The resulting reduced system preserves the stability of the original system. Numerical examples are presented to show that the proposed algorithm is computationally efficient and robust with respect to the selection of initial projection matrices.
收录类别SCI
原文出处http://onlinelibrary.wiley.com/doi/10.1002/nme.4948/abstract
语种英语
内容类型期刊论文
源URL[http://ir.siat.ac.cn:8080/handle/172644/6911]  
专题深圳先进技术研究院_数字所
作者单位International Journal for Numerical Methods in Engineering
推荐引用方式
GB/T 7714
Taishan Zeng,Chunyuan Lu. Two-sided Grassmann manifold algorithm for optimal H2 model reduction[J]. International Journal for Numerical Methods in Engineering,2015.
APA Taishan Zeng,&Chunyuan Lu.(2015).Two-sided Grassmann manifold algorithm for optimal H2 model reduction.International Journal for Numerical Methods in Engineering.
MLA Taishan Zeng,et al."Two-sided Grassmann manifold algorithm for optimal H2 model reduction".International Journal for Numerical Methods in Engineering (2015).
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