Distributional differential algebraic equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Ilmenau
Univ.-Verl.
2009
|
| Subjects: | |
| Online Access: | Volltext Volltext Inhaltsverzeichnis |
| Physical Description: | 189 S. graph. Darst. 21 cm |
| ISBN: | 9783939473572 |
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MARC
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Record in the Search Index
| _version_ | 1804140816200892416 |
|---|---|
| adam_text | CONTENTS INTRODUCTION 13 1.1 DISTRIBUTIONAL SOLUTIONS 13 1.2
DISTRIBUTIONAL DAES AND MULTIPLICATION OF DISTRIBUTIONS 15 1.3
REGULARITY OF DISTRIBUTIONAL DAES 17 1.4 CONTROLLABILITY AND
OBSERVABILITY 17 1.5 PREVIOUSLY PUBLISHED RESULTS AND JOINT WORK 18 1.6
BASIC NOTATIONAL CONVENTIONS 18 DISTRIBUTION THEORY 21 2.1 REVIEW OF
CLASSICAL DISTRIBUTION THEORY 21 2.2 PIECEWISE-REGULAR DISTRIBUTIONS 28
2.2.1 RESTRICTIONS OF DISTRIBUTIONS 28 2.2.2 MULTIPLICATION WITH
PIECEWISE-SMOOTH FUNCTIONS . 36 2.3 PIECEWISE-SMOOTH DISTRIBUTIONS AND
ITS PROPERTIES . . . . 38 2.4 MULTIPLICATION OF PIECEWISE-SMOOTH
DISTRIBUTIONS 42 2.4.1 UNIQUENESS OF MULTIPLICATIONS ON D PW C* 43 2.4.2
PROPERTIES OF THE FUCHSSTEINER MULTIPLICATION . . 49 2.4.3 MATRIX
CALCULUS FOR PIECEWISE-SMOOTH DISTRIBUTIONS 51 REGULARITY OF
DISTRIBUTIONAL DAES 55 3.1 INITIAL TRAJECTORY PROBLEMS (ITPS) AND
DAE-REGULARITY . 55 3.2 NECESSARY AND SUFFICIENT CONDITIONS FOR
DAE-REGULARITY . 62 3.3 DISTRIBUTIONAL ODES 74 3.3.1 CONSISTENT
SOLUTIONS OF DISTRIBUTIONAL ODES ... 74 3.3.2 ITP SOLUTIONS OF
DISTRIBUTIONAL ODES 83 3.3.3 ON THE DIMENSION OF THE SOLUTION SPACE OF
DISTRI- BUTIONAL ODES 85 3.4 PURE DISTRIBUTIONAL DAES 88 3.5 GENERALIZED
WEIERSTRASS FORM 95 SWITCHED DAES 101 4. BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/99693197X DIGITALISIERT DURCH CONTENTS 4.2.1 THE QUASI
WEIERSTRASS FORM 103 4.2.2 CONSISTENCY PROJECTORS 109 4.2.3 SUFFICIENT
CONDITIONS FOR IMPULSE/JUMP FREENESS OF SOLUTIONS 112 4.2.4 APPLICATION
TO A DUAL REDUNDANT BUCK CONVERTER . 117 4.3 STABILITY OF SWITCHED DAES
123 4.3.1 LYAPUNOV FUNCTIONS FOR CLASSICAL DIFFERENTIAL AL- GEBRAIC
EQUATIONS 123 4.3.2 SWITCHED DAES: MOTIVATING EXAMPLES 126 4.3.3
SUFFICIENT CONDITIONS FOR STABILITY OF SWITCHED DAES 132 5
CONTROLLABILITY AND OBSERVABILITY FOR DISTRIBUTIONAL DAES 141 5.1
CONTROLLABILITY 141 5.2 OBSERVABILITY 147 5.3 A NORMAL FORM FOR PURE
DAES 152 REFERENCES 173 LIST OF SYMBOLS AND ABBREVIATIONS 181 INDEX 185
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| any_adam_object | 1 |
| author | Trenn, Stephan 1980- |
| author_GND | (DE-588)139396624 |
| author_facet | Trenn, Stephan 1980- |
| author_role | aut |
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| author_variant | s t st |
| building | Verbundindex |
| bvnumber | BV035845766 |
| collection | ebook |
| ctrlnum | (OCoLC)458750676 (DE-599)DNB99693197X |
| dewey-full | 515.352 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.352 |
| dewey-search | 515.352 |
| dewey-sort | 3515.352 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Thesis Book |
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| id | DE-604.BV035845766 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:05:59Z |
| institution | BVB |
| isbn | 9783939473572 |
| language | English |
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| physical | 189 S. graph. Darst. 21 cm |
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| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Univ.-Verl. |
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| spelling | Trenn, Stephan 1980- Verfasser (DE-588)139396624 aut Distributional differential algebraic equations von Stephan Trenn Ilmenau Univ.-Verl. 2009 189 S. graph. Darst. 21 cm txt rdacontent n rdamedia nc rdacarrier Zugl.: Ilmenau, Techn. Univ., Diss., 2009 Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd rswk-swf Distribution Funktionalanalysis (DE-588)4070505-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Differential-algebraisches Gleichungssystem (DE-588)4229517-8 s Distribution Funktionalanalysis (DE-588)4070505-5 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:gbv:ilm1-2009000207 http://www.db-thueringen.de/servlets/DerivateServlet/Derivate-18071/ilm1-2009000207.pdf Verlag kostenfrei Volltext http://d-nb.info/998021652/34 kostenfrei Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018703964&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Trenn, Stephan 1980- Distributional differential algebraic equations Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd Distribution Funktionalanalysis (DE-588)4070505-5 gnd |
| subject_GND | (DE-588)4229517-8 (DE-588)4070505-5 (DE-588)4113937-9 |
| title | Distributional differential algebraic equations |
| title_auth | Distributional differential algebraic equations |
| title_exact_search | Distributional differential algebraic equations |
| title_full | Distributional differential algebraic equations von Stephan Trenn |
| title_fullStr | Distributional differential algebraic equations von Stephan Trenn |
| title_full_unstemmed | Distributional differential algebraic equations von Stephan Trenn |
| title_short | Distributional differential algebraic equations |
| title_sort | distributional differential algebraic equations |
| topic | Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd Distribution Funktionalanalysis (DE-588)4070505-5 gnd |
| topic_facet | Differential-algebraisches Gleichungssystem Distribution Funktionalanalysis Hochschulschrift |
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