Invariance entropy for deterministic control systems: an introduction
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Cham [u.a.]
Springer
2013
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Schriftenreihe: | Lecture notes in mathematics
2089 |
Schlagworte: | |
Online-Zugang: | Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online-Ressource (XV, 270 S.) graph. Darst. 235 mm x 155 mm |
ISBN: | 9783319012889 |
DOI: | 10.1007/978-3-319-01288-9 |
Internformat
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Datensatz im Suchindex
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adam_text | INVARIANCE ENTROPY FOR DETERMINISTIC CONTROL SYSTEMS
/ KAWAN, CHRISTOPH
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
BASIC PROPERTIES OF CONTROL SYSTEMS
INTRODUCTION TO INVARIANCE ENTROPY
LINEAR AND BILINEAR SYSTEMS
GENERAL ESTIMATES
CONTROLLABILITY, LYAPUNOV EXPONENTS, AND UPPER BOUNDS
ESCAPE RATES AND LOWER BOUNDS
EXAMPLES
NOTATION
BIBLIOGRAPHY
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
INVARIANCE ENTROPY FOR DETERMINISTIC CONTROL SYSTEMS
/ KAWAN, CHRISTOPH
: 2013
ABSTRACT / INHALTSTEXT
THIS MONOGRAPH PROVIDES AN INTRODUCTION TO THE CONCEPT OF INVARIANCE
ENTROPY, THE CENTRAL MOTIVATION OF WHICH LIES IN THE NEED TO DEAL WITH
COMMUNICATION CONSTRAINTS IN NETWORKED CONTROL SYSTEMS. FOR THE SIMPLEST
POSSIBLE NETWORK TOPOLOGY, CONSISTING OF ONE CONTROLLER AND ONE
DYNAMICAL SYSTEM CONNECTED BY A DIGITAL CHANNEL, INVARIANCE ENTROPY
PROVIDES A MEASURE FOR THE SMALLEST DATA RATE ABOVE WHICH IT IS POSSIBLE
TO RENDER A GIVEN SUBSET OF THE STATE SPACE INVARIANT BY MEANS OF A
SYMBOLIC CODER-CONTROLLER PAIR. THIS CONCEPT IS ESSENTIALLY EQUIVALENT
TO THE NOTION OF TOPOLOGICAL FEEDBACK ENTROPY INTRODUCED BY NAIR, EVANS,
MAREELS AND MORAN (TOPOLOGICAL FEEDBACK ENTROPY AND NONLINEAR
STABILIZATION. IEEE TRANS. AUTOMAT. CONTROL 49 (2004), 1585–1597). THE
BOOK PRESENTS THE FOUNDATIONS OF A THEORY WHICH AIMS AT FINDING
EXPRESSIONS FOR INVARIANCE ENTROPY IN TERMS OF DYNAMICAL QUANTITIES SUCH
AS LYAPUNOV EXPONENTS. WHILE BOTH DISCRETE-TIME AND CONTINUOUS-TIME
SYSTEMS ARE TREATED, THE EMPHASIS LIES ON SYSTEMS GIVEN BY DIFFERENTIAL
EQUATIONS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Kawan, Christoph 1980- |
author_GND | (DE-588)140622926 |
author_facet | Kawan, Christoph 1980- |
author_role | aut |
author_sort | Kawan, Christoph 1980- |
author_variant | c k ck |
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dewey-full | 515.39 515.48 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.39 515.48 |
dewey-search | 515.39 515.48 |
dewey-sort | 3515.39 |
dewey-tens | 510 - Mathematics |
discipline | Informatik Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik |
doi_str_mv | 10.1007/978-3-319-01288-9 |
format | Electronic eBook |
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institution | BVB |
isbn | 9783319012889 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-026881789 |
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physical | 1 Online-Ressource (XV, 270 S.) graph. Darst. 235 mm x 155 mm |
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spelling | Kawan, Christoph 1980- Verfasser (DE-588)140622926 aut Invariance entropy for deterministic control systems an introduction Christoph Kawan Cham [u.a.] Springer 2013 1 Online-Ressource (XV, 270 S.) graph. Darst. 235 mm x 155 mm txt rdacontent c rdamedia cr rdacarrier Lecture notes in mathematics 2089 Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Entropie (DE-588)4014894-4 gnd rswk-swf 1\p (DE-588)4113937-9 Hochschulschrift gnd-content Entropie (DE-588)4014894-4 s Kontrolltheorie (DE-588)4032317-1 s DE-604 Erscheint auch als Druck-Ausgabe, Paperback 978-3-319-01287-2 Lecture notes in mathematics 2089 (DE-604)BV014303148 2089 https://doi.org/10.1007/978-3-319-01288-9 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026881789&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026881789&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Kawan, Christoph 1980- Invariance entropy for deterministic control systems an introduction Lecture notes in mathematics Kontrolltheorie (DE-588)4032317-1 gnd Entropie (DE-588)4014894-4 gnd |
subject_GND | (DE-588)4032317-1 (DE-588)4014894-4 (DE-588)4113937-9 |
title | Invariance entropy for deterministic control systems an introduction |
title_auth | Invariance entropy for deterministic control systems an introduction |
title_exact_search | Invariance entropy for deterministic control systems an introduction |
title_full | Invariance entropy for deterministic control systems an introduction Christoph Kawan |
title_fullStr | Invariance entropy for deterministic control systems an introduction Christoph Kawan |
title_full_unstemmed | Invariance entropy for deterministic control systems an introduction Christoph Kawan |
title_short | Invariance entropy for deterministic control systems |
title_sort | invariance entropy for deterministic control systems an introduction |
title_sub | an introduction |
topic | Kontrolltheorie (DE-588)4032317-1 gnd Entropie (DE-588)4014894-4 gnd |
topic_facet | Kontrolltheorie Entropie Hochschulschrift |
url | https://doi.org/10.1007/978-3-319-01288-9 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026881789&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026881789&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV014303148 |
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