Linear operators and linear systems: an analytical approach to control theory
Linear systems can be regarded as a causal shift-invariant operator on a Hilbert space of signals, and by doing so this book presents an introduction to the common ground between operator theory and linear systems theory. The book therefore includes material on pure mathematical topics such as Hardy...
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1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cambridge
Cambridge University Press
2004
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Schriftenreihe: | London Mathematical Society student texts
60 |
Schlagworte: | |
Online-Zugang: | BSB01 FHN01 UBR01 URL des Erstveröffentlichers |
Zusammenfassung: | Linear systems can be regarded as a causal shift-invariant operator on a Hilbert space of signals, and by doing so this book presents an introduction to the common ground between operator theory and linear systems theory. The book therefore includes material on pure mathematical topics such as Hardy spaces, closed operators, the gap metric, semigroups, shift-invariant subspaces, the commutant lifting theorem and almost-periodic functions, which would be entirely suitable for a course in functional analysis; at the same time, the book includes applications to partial differential equations, to the stability and stabilization of linear systems, to power signal spaces (including some recent material not previously available in books), and to delay systems, treated from an input/output point of view. Suitable for students of analysis, this book also acts as an introduction to a mathematical approach to systems and control for graduate students in departments of applied mathematics or engineering |
Beschreibung: | 1 Online-Ressource (ix, 166 Seiten) |
ISBN: | 9780511616693 |
DOI: | 10.1017/CBO9780511616693 |
Internformat
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520 | |a Linear systems can be regarded as a causal shift-invariant operator on a Hilbert space of signals, and by doing so this book presents an introduction to the common ground between operator theory and linear systems theory. The book therefore includes material on pure mathematical topics such as Hardy spaces, closed operators, the gap metric, semigroups, shift-invariant subspaces, the commutant lifting theorem and almost-periodic functions, which would be entirely suitable for a course in functional analysis; at the same time, the book includes applications to partial differential equations, to the stability and stabilization of linear systems, to power signal spaces (including some recent material not previously available in books), and to delay systems, treated from an input/output point of view. Suitable for students of analysis, this book also acts as an introduction to a mathematical approach to systems and control for graduate students in departments of applied mathematics or engineering | ||
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Datensatz im Suchindex
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author | Partington, Jonathan R. 1955- |
author_GND | (DE-588)143775251 |
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dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515/.7246 |
dewey-search | 515/.7246 |
dewey-sort | 3515 47246 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1017/CBO9780511616693 |
format | Electronic eBook |
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id | DE-604.BV043940792 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:39:14Z |
institution | BVB |
isbn | 9780511616693 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349762 |
oclc_num | 840049432 |
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owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
physical | 1 Online-Ressource (ix, 166 Seiten) |
psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
publishDate | 2004 |
publishDateSearch | 2004 |
publishDateSort | 2004 |
publisher | Cambridge University Press |
record_format | marc |
series2 | London Mathematical Society student texts |
spelling | Partington, Jonathan R. 1955- Verfasser (DE-588)143775251 aut Linear operators and linear systems an analytical approach to control theory Jonathan R. Partington Linear Operators & Linear Systems Cambridge Cambridge University Press 2004 1 Online-Ressource (ix, 166 Seiten) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society student texts 60 Linear systems can be regarded as a causal shift-invariant operator on a Hilbert space of signals, and by doing so this book presents an introduction to the common ground between operator theory and linear systems theory. The book therefore includes material on pure mathematical topics such as Hardy spaces, closed operators, the gap metric, semigroups, shift-invariant subspaces, the commutant lifting theorem and almost-periodic functions, which would be entirely suitable for a course in functional analysis; at the same time, the book includes applications to partial differential equations, to the stability and stabilization of linear systems, to power signal spaces (including some recent material not previously available in books), and to delay systems, treated from an input/output point of view. Suitable for students of analysis, this book also acts as an introduction to a mathematical approach to systems and control for graduate students in departments of applied mathematics or engineering Linear operators Linear systems Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Linearer Operator (DE-588)4167721-3 gnd rswk-swf Lineares System (DE-588)4125617-7 gnd rswk-swf Linearer Operator (DE-588)4167721-3 s Lineares System (DE-588)4125617-7 s Kontrolltheorie (DE-588)4032317-1 s DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-83734-7 Erscheint auch als Druck-Ausgabe 978-0-521-54619-5 https://doi.org/10.1017/CBO9780511616693 Verlag URL des Erstveröffentlichers Volltext |
spellingShingle | Partington, Jonathan R. 1955- Linear operators and linear systems an analytical approach to control theory Linear operators Linear systems Kontrolltheorie (DE-588)4032317-1 gnd Linearer Operator (DE-588)4167721-3 gnd Lineares System (DE-588)4125617-7 gnd |
subject_GND | (DE-588)4032317-1 (DE-588)4167721-3 (DE-588)4125617-7 |
title | Linear operators and linear systems an analytical approach to control theory |
title_alt | Linear Operators & Linear Systems |
title_auth | Linear operators and linear systems an analytical approach to control theory |
title_exact_search | Linear operators and linear systems an analytical approach to control theory |
title_full | Linear operators and linear systems an analytical approach to control theory Jonathan R. Partington |
title_fullStr | Linear operators and linear systems an analytical approach to control theory Jonathan R. Partington |
title_full_unstemmed | Linear operators and linear systems an analytical approach to control theory Jonathan R. Partington |
title_short | Linear operators and linear systems |
title_sort | linear operators and linear systems an analytical approach to control theory |
title_sub | an analytical approach to control theory |
topic | Linear operators Linear systems Kontrolltheorie (DE-588)4032317-1 gnd Linearer Operator (DE-588)4167721-3 gnd Lineares System (DE-588)4125617-7 gnd |
topic_facet | Linear operators Linear systems Kontrolltheorie Linearer Operator Lineares System |
url | https://doi.org/10.1017/CBO9780511616693 |
work_keys_str_mv | AT partingtonjonathanr linearoperatorsandlinearsystemsananalyticalapproachtocontroltheory AT partingtonjonathanr linearoperatorslinearsystems |