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题名/责任者:

Linear state/signal systems / Damir Z. Arov, South Ukrainian National Pedagogical University, Olof J. Staffans.

出版发行项:

Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022.

出版发行项:

漏2022

ISBN:

9781316519677

ISBN:

1316519678

载体形态项:

xxviii, 1019 pages : illustrations ; 26 cm.

其他载体形态:

Online version: Arov, Damir Z., 1934- Linear state/signal systems 1. New York : Cambridge University Press, 2022 9781009024921

丛编说明:

Encyclopedia of mathematics and its applications ; 183

丛编统一题名:

Encyclopedia of mathematics and its applications ; v. 183.

个人责任者:

Arov, Damir Z., author.

附加个人名称:

Staffans, Olof J., 1947- author.

论题主题:

Linear systems.

论题主题:

Operator theory.

论题主题:

Linear control systems.

中图法分类号:

O231.1

书目附注:

Includes bibliographical references (pages 994-1004) and index.

摘要附注:

"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 Liv.

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