このアイテムのアクセス数: 0

このアイテムのファイル:
ファイル 記述 サイズフォーマット 
iet-cta.2014.0453.pdf120.58 kBAdobe PDF見る/開く
タイトル: Computing the L∞-induced norm of linear time-invariant systems via Kernel approximation and its comparison with input approximation
著者: Kim, Jung Hoon
Hagiwara, Tomomichi  kyouindb  KAKEN_id
著者名の別形: 萩原, 朋道
発行日: 19-Mar-2015
出版者: Institution of Engineering and Technology (IET)
誌名: IET Control Theory & Applications
巻: 9
号: 5
開始ページ: 700
終了ページ: 709
抄録: This study deals with the L₁ analysis of stable finite-dimensional linear time-invariant (LTI) systems, by which the authors mean the computation of the L∞-induced norm of these systems. To compute this norm, they need to integrate the absolute value of the impulse response of the given system, which corresponds to the kernel function in the convolution formula for the input/output relation. However, it is very difficult to compute this integral exactly or even approximately with an explicit upper bound and lower bound. They first review an approach named input approximation, in which the input of the LTI system is approximated by a staircase or piecewise linear function and computation methods for an upper bound and lower bound of the L∞-induced norm are given. They further develop another approach using an idea of kernel approximation, in which the kernel function in the convolution is approximated by a staircase or piecewise linear function. These approaches are introduced through fast-lifting, by which the interval [0, h) with a sufficiently large h is divided into M subintervals with an equal width. It is then shown that the approximation errors in staircase or piecewise linear approximation are ensured to be reciprocally proportional to M or M², respectively. The effectiveness of the proposed methods is demonstrated through numerical examples.
著作権等: This is the accepted version of the article, which has been published in final form at https://ieeexplore.ieee.org/document/7070562.
This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
URI: http://hdl.handle.net/2433/235592
DOI(出版社版): 10.1049/iet-cta.2014.0453
関連リンク: https://ieeexplore.ieee.org/document/7070562
出現コレクション:学術雑誌掲載論文等

アイテムの詳細レコードを表示する

Export to RefWorks


出力フォーマット 


このリポジトリに保管されているアイテムはすべて著作権により保護されています。