Singular value decomposition of an infinite block-hankel matrix and its applications
作者:
Fang Bo Yeh,
Ciann Dong Yang,
期刊:
Numerical Functional Analysis and Optimization
(Taylor Available online 1987)
卷期:
Volume 9,
issue 7-8
页码: 881-916
ISSN:0163-0563
年代: 1987
DOI:10.1080/01630568708816265
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
This paper presents a first attempt to perform the singular value decomposition of an infinite block-Hankel matrix. It is shown that singular value decomposition (SVD) of an infinite block-Hankel matrix can be reduced to the SVD of a matrix with finite dimension. The formulation is solely in terms of the coefficients of the transfer function matrix (TFM).The most of importance is that this method leads to a new formulation of L∞-optimization problems, Hankel-norm model reduction problems and a new algorithm for minimal balanced realization of multivariable systems
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