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[ 洋図書 ] Linear state/signal systems / ( Encyclopedia of mathematics and its applications ; 183 )

Damir Z. Arov, South Ukrainian National Pedagogical University; Olof J. Staffans, Åbo Akademi University, Finland. -- Cambridge University Press, -- 2022, --

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ISBN 1316519678 (hardcover)
ISBN13桁 9781316519677 (hardcover)
無効なISBN等 9781009024921 (electronic book)
テキストの言語 英語                  
分類：NDC10版 410.8
個人著者標目 Arov, Damir Z.,
本タイトル Linear state/signal systems /
著者名 Damir Z. Arov, South Ukrainian National Pedagogical University; Olof J. Staffans, Åbo Akademi University, Finland.
出版地・頒布地 Cambridge, United Kingdom ;
出版者・頒布者名 Cambridge University Press,
出版年・頒布年 2022,
数量 xxviii, 1019 pages :
他の形態的事項 illustrations ;
大きさ 26 cm.
書誌注記 Includes bibliographical references and index.
要約、抄録、注釈等 "The theory presented in this book arose as a product of a continued collaboration between the two authors during the years 2003-2021. The basis for this collaboration was our common interest in passive linear time-invariant input/state/output systems theory. At the time when this project started O. Staffans was preparing a joint article (Ball and Staffans, 2006) with Prof. J. Ball which, in particular, explored the connections between conservative input/state/output systems theory on one hand and some results in the behavioral theory introduced by J.Willems in the late 80's on the other hand. After extensive discussions on the above approach, comparing it to the theory of passive electrical networks, we understood that this opens up a new direction in the study of passive linear time-invariant systems. We called the new class of systems that arose in this way passive state/signal systems. From the outset it was clear that the notion of passivity with an arbitrary supply rate fits more naturally into the state/signal setting than in the input/state/output setting, and that the standard "diagonal transformation" of Livšic, the Potapov-Ginzburg transformation, and the Redheffer and chain scattering transformations have natural interpretations as transformations between input/output resolvents of different input/state/output representations of a passive state/signal system. We also soon discovered that virtually all the standard control theory notions, such as controllability and observability, minimality, stability, stabilizability, detectability, and well-posedness have natural state/signal counterparts"-- Provided by publisher.
著者標目 Staffans, Olof J., 1947-
統一タイトル(シリーズ副出標目) Encyclopedia of mathematics and its applications ;
シリーズの巻次 v. 183.
シリーズ名・巻次 Encyclopedia of mathematics and its applications ; 183
一般件名 Linear systems.
Operator theory.
資料情報1 『Linear state/signal systems /』（Encyclopedia of mathematics and its applications ; 183）　Damir Z. Arov, South Ukrainian National Pedagogical University; Olof J. Staffans, Åbo Akademi University, Finland.　Cambridge University Press,　2022, （所蔵館：中央　 請求記号：F/410.8/E56/E1-183　 資料コード：7115742314）
URL https://catalog.library.metro.tokyo.lg.jp/winj/opac/switch-detail.do?lang=ja&bibid=1352055979

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