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フルテキストURLA040054000104.pdf ( 187.0KB ) 公開日 2010-04-19
タイトルAn algorithm to form a D-stable coefficient set and its application to the determination of l^2 D-stability radius
作成者藤井, 文武
和田, 憲造
作成者ヨミフジイ, フミタカ
ワダ, ケンゾウ
作成者別表記Fujii, Fumitake
Wada, Kenzo
作成者所属山口大学工学部
内容記述(抄録等)This paper concerns the zeros of a polynomial inside a given circle in the left half complex plane. Marden provided an algorithm to determine the number of zeros which a given polynomial has inside the unit circle by using only its coefficents. In this short article, it will be shown that the result can be extended to more general case where the center of the circle is on the real axis and its radius is arbitrary. The execution of the proposed algorithm will produce a set of inequalities which serve as an algebraic expression of a D-stable set in the coefficient space. It should be emphasized that those expressions are suitable for controller design sonsideration in the coefficient space. The determination of l^2 D-stability radius as an application of the result and its related theorem will also be dictated.
本文言語eng
著者キーワードMarden's algorithm
coefficient space
zeros of a polynomial
Rouche's theorem
l^2D-stability
資料タイプtext
ファイル形式application/pdf
出版者山口大学工学部
出版者ヨミヤマグチ ダイガク コウガクブ
NII資料タイプ紀要論文
学内刊行物(紀要等)山口大学工学部研究報告
掲載誌名山口大学工学部研究報告
掲載誌名別表記Memoirs of the Faculty of Engineering, Yamaguchi University
54
1
開始ページ37
終了ページ42
発行日2003-10
関連情報URL(IsPartOf)http://memoirs.lib-e.yamaguchi-u.ac.jp/
著者版/出版社版出版社版
リポジトリIDA040054000104
地域区分山口大学
URIhttp://www.lib.yamaguchi-u.ac.jp/yunoca/handle/A040054000104