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- 金子 修
- 大阪大学大学院基礎工学研究科
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- RAPISARDA Paolo
- School of Electronics and Computer Science, University Southampton
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- 鷹羽 浄嗣
- 京都大学大学院情報学研究科
書誌事項
- タイトル別名
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- An Algorithm for the Spectral Factorization of Unimodular Para-Hermitian Polynomial Matrices in Continuous Time
- ユニモジュラ ナ レンゾク ジカン パラエルミート タコウシキ ギョウレツ ノ スペクトル ブンカイ アルゴリズム
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抄録
In this paper, we address an algorithm for the spectral factorization of para-Hermitian unimodular polynomial matrices in the continuous time case. Most of the algorithms for the spectral factorizations of matrix polynomials depend on the existence of the roots of given polynomial matrices, so it is almost impossible to execute the spectral factorization of unimodular polynomial matrices. In this paper, we provide a new algorithm for the spectral factorization of unimodular polynomial matrices without the existence of the roots of polynomial matrices or the stability. The task one has to do is only to solve a linear matrix inequality consisting of the coefficients of a given unimodular matrix, which can be achieved easily by the use of numerical computation packages. The algorithm we present here is based on the property of the storage functions for the dissipative systems in which there always exists positive dissipated energy for the environment. This implies that the fundamental property in our algorithm is also a self-standing interesting result with respect to theoretical points of view. Finally, in order to show the validity of our results, we give an illustrative example with respect to numerical aspects.
収録刊行物
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- システム制御情報学会論文誌
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システム制御情報学会論文誌 18 (11), 393-399, 2005
一般社団法人 システム制御情報学会
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詳細情報 詳細情報について
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- CRID
- 1390001205166940544
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- NII論文ID
- 130002037652
- 10016808096
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- NII書誌ID
- AN1013280X
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- ISSN
- 2185811X
- 13425668
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- NDL書誌ID
- 7693758
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- 本文言語コード
- ja
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- データソース種別
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- JaLC
- NDL
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- 使用不可