Growth rates for semiflows with application to rotation numbers for control systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Logos-Verl.
2009
|
| Schriftenreihe: | Augsburger Schriften zur Mathematik, Physik und Informatik
13 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 132 S. graph. Darst. 21 cm |
| ISBN: | 9783832521653 |
Internformat
MARC
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| 245 | 1 | 0 | |a Growth rates for semiflows with application to rotation numbers for control systems |c von Torben Stender |
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| 300 | |a 132 S. |b graph. Darst. |c 21 cm | ||
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| 490 | 1 | |a Augsburger Schriften zur Mathematik, Physik und Informatik |v 13 | |
| 502 | |a Zugl.: Augsburg, Univ., Diss., 2008 | ||
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Datensatz im Suchindex
| _version_ | 1804139091971801088 |
|---|---|
| adam_text | CONTENTS INTRODUCTION 3 1 ROTATION NUMBERS 7 1.1 PRELIMINARIES 7 1.2 THE
GRASSMANNIANS AND THE STIEFEL MANIFOM 8 1.3 THE CANONICAL CONNECTION
FORM 12 1.4 ROTATION NUMBERS FOR SMOOTH LINEAR FLOWS 14 1.5 ROTATION
NUMBERS AND COHOMOLOGY 17 2 GROWTH RATES FOR SEMIFLOWS 21 2.1 GROWTH
RATES AND THE UNIFORM GROWTH SPECTRUM 22 2.2 THE MORSE SPECTRUM 28 2.3
THE MEANING OF LIMIT SETS FOR GROWTH RATES 35 2.4 UPPER SEMICONTINUITY
OF THE SPECTRUM 39 2.5 STONE-CECH COMPACTIFICATION OF GROWTH RATES 42 3
CHAIN RECURRENT COMPONENTS IN THE ORIENTED GRASSMANNIAN 47 3.1 CHAIN
RECURRENT COMPONENTS IN THE GRASSMANNIAN 47 3.2 DETERMINING THE CHAIN
RECURRENT. COMPONENTS IN THE ORIENTED GRASS- MANNIAN 49 4 ROTATION
NUMBERS FOR LINEAR AUTONOMOUS DIFFERENTIAL EQUATIONS 55 4.1 COMPUTATION
OF THE MORSE SPECTRUM 55 4.2 A NOTE ON DIFFERENT APPROARHES TO ROTATION
NUMBERS 64 4.2.1 ROTATION NUMBERS FOR LINEAR HAMILTONIAN SYSTEMS 64
4.2.2 MATRIX OF ROTATION 65 1 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/993574017 DIGITALISIERT DURCH BIBLIOGRAPHY 125 5
BILINEAR CONTROL SYSTEMS 67 5.1 MORSE SPECTRUM OF ROTATION NUMBERS FOR
BILINEAR CONTROL SYSTEMS . 67 5.2 BILINEAR CONTROL SYSTEMS IN DIMENSION
TWO 72 5.2.1 CHAINS FOR ANGLES 72 5.2.2 COMPLETE CONTROLLABILITY 77
5.2.3 THE BOUNDARY POINTS OF THE MORSE SPECTRUM OF ROTATION NUMBERS 78
5.3 A NOTE ON CONSTANT CONTROLS AND IWASAWA DECOMPOSITION 82 6 ROTATION
NUMBERS FOR CONTROL AFFINE SYSTEMS 87 6.1 LINEARIZATION 88 6.1.1
EXPONENTIAL DICHOTOMY 89 6.1.2 LOCAL NONAUTONOMOUS INVARIANT MANIFOLDS
93 6.2 ROTATION NUMBERS FOR NONLINEAR SYSTEMS 100 6.3 EXISTENTE AND
SHAPE OF CONTROL SETS 106 6.4 GRUENVOGEL S OPEN PROBLEM 114 APPENDIX 117
A.L PARACOMPACT SPACES 117 A.2 CONVEX SETS 118 A.3 SEMICONTINUITY FOR
SET-VALUED MAPS 118 A.4 CONTROL THEORY 119 A.5 DIFFERENTIAL EQUATIONS OF
CARATHEODORY TYPE 123
|
| any_adam_object | 1 |
| author | Stender, Torben 1979- |
| author_GND | (DE-588)137874642 |
| author_facet | Stender, Torben 1979- |
| author_role | aut |
| author_sort | Stender, Torben 1979- |
| author_variant | t s ts |
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| bvnumber | BV035481259 |
| classification_rvk | SK 520 |
| ctrlnum | (OCoLC)552084741 (DE-599)DNB993574017 |
| dewey-full | 515.39 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.39 |
| dewey-search | 515.39 |
| dewey-sort | 3515.39 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV035481259 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:38:35Z |
| institution | BVB |
| isbn | 9783832521653 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017537788 |
| oclc_num | 552084741 |
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| owner_facet | DE-384 DE-634 DE-188 |
| physical | 132 S. graph. Darst. 21 cm |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Logos-Verl. |
| record_format | marc |
| series | Augsburger Schriften zur Mathematik, Physik und Informatik |
| series2 | Augsburger Schriften zur Mathematik, Physik und Informatik |
| spelling | Stender, Torben 1979- Verfasser (DE-588)137874642 aut Growth rates for semiflows with application to rotation numbers for control systems von Torben Stender Berlin Logos-Verl. 2009 132 S. graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Augsburger Schriften zur Mathematik, Physik und Informatik 13 Zugl.: Augsburg, Univ., Diss., 2008 Dynamisches System - Kontrolltheorie Dynamisches System (DE-588)4013396-5 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Dynamisches System (DE-588)4013396-5 s Kontrolltheorie (DE-588)4032317-1 s DE-604 Augsburger Schriften zur Mathematik, Physik und Informatik 13 (DE-604)BV017601953 13 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017537788&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stender, Torben 1979- Growth rates for semiflows with application to rotation numbers for control systems Augsburger Schriften zur Mathematik, Physik und Informatik Dynamisches System - Kontrolltheorie Dynamisches System (DE-588)4013396-5 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4013396-5 (DE-588)4032317-1 (DE-588)4113937-9 |
| title | Growth rates for semiflows with application to rotation numbers for control systems |
| title_auth | Growth rates for semiflows with application to rotation numbers for control systems |
| title_exact_search | Growth rates for semiflows with application to rotation numbers for control systems |
| title_full | Growth rates for semiflows with application to rotation numbers for control systems von Torben Stender |
| title_fullStr | Growth rates for semiflows with application to rotation numbers for control systems von Torben Stender |
| title_full_unstemmed | Growth rates for semiflows with application to rotation numbers for control systems von Torben Stender |
| title_short | Growth rates for semiflows with application to rotation numbers for control systems |
| title_sort | growth rates for semiflows with application to rotation numbers for control systems |
| topic | Dynamisches System - Kontrolltheorie Dynamisches System (DE-588)4013396-5 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Dynamisches System - Kontrolltheorie Dynamisches System Kontrolltheorie Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017537788&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV017601953 |
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