Progress in differential-algebraic equations:
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Tagungsbericht Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2014
|
| Schriftenreihe: | Differential-algebraic equations forum
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | X, 208 S. graph. Darst. 24 cm |
| ISBN: | 9783662449257 3662449250 |
Internformat
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| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2014 | |
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| 653 | |a model order reduction | ||
| 653 | |a observability | ||
| 653 | |a stability | ||
| 653 | |a dynamics | ||
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Datensatz im Suchindex
| _version_ | 1809770965681307648 |
|---|---|
| adam_text |
CONTENTS
PART I CONTROL
LYAPUNOV MATRIX EQUATIONS FOR THE STABILITY ANALYSIS OF
LINEAR TIME-INVARIANT DESCRIPTOR
SYSTEMS 3
PETER C. MIILLER
1 INTRODUCTION 4
2 GENERAL REFLECTIONS ON THE GENERALIZED LYAPUNOV MATRIX EQUATIONS 5
2.1 RELATION BETWEEN SOLUTIONS OF THE LYAPUNOV MATRIX EQUATIONS 5
2.2 EXAMPLES 6
3 ASYMPTOTIC STABILITY 8
3.1 WEIERSTRASS CANONICAL FORM 8
3.2 FIRST APPROACH 9
3.3 SECOND APPROACH 10
4 MECHANICAL DESCRIPTOR SYSTEMS 14
4.1 FIRST APPROACH 15
4.2 SECOND APPROACH 17
5 COMPARISATION OF THE TWO APPROACHES 19
CONCLUSIONS 19
REFERENCES 20
ZERO DYNAMICS
AND STABILIZATION FOR
LINEAR DAES 21
THOMAS BERGER
1 INTRODUCTION 23
2 SOME CONTROL THEORETIC CONCEPTS 24
3 STABLE ZERO DYNAMICS 28
4 STABILIZATION 33
REFERENCES 44
DESIGN OF CAUSAL OBSERVERS
FOR NONLINEAR DESCRIPTOR
SYSTEMS 47
DANIEL LABISCH AND ULRICH KONIGORSKI
1 INTRODUCTION 47
2 PROPERTIES OF DESCRIPTOR SYSTEMS 49
VII
HTTP://D-NB.INFO/1056836512
VIII CONTENTS
3 COUPLED STATE-SPACE REPRESENTATION 50
4 CAUSAL OBSERVABILITY AND OBSERVER DESIGN 57
5 EXAMPLES 62
5.1 THREE-MASS OSCILLATOR 62
5.2 ACADEMIC NONLINEAR EXAMPLE 65
CONCLUSION 68
REFERENCES 68
PART II SIMULATION
MONITORING SINGULARITIES
WHILE INTEGRATING DAES 73"
DIANA ESTDVEZ SCHWARZ AND RENE LAMOUR
1 INTRODUCTION 73
2 TRACTABILITY 74
3 INDEX-3 DECOUPLING 75
4 AUTOMATIC DIFFERENTIATION (AD) 77
5 CONSISTENT INITIALIZATION AND INTEGRATION WITH AD 77
5.1 INDEX DETERMINATION 78
5.2 CONSISTENT INITIALISATION 78
5.3 INTEGRATING IVPS 80
5.4 NONLINEAR DAES 81
6 DIAGNOSIS OF SINGULAR POINTS 82
7 EXAMPLES 83
7.1 LINEAR DAES 83
7.2 NONLINEAR EXAMPLES 91
8 OUTLOOK 94
REFERENCES 95
MODULAR TIME INTEGRATION OF BLOCK-STRUCTURED COUPLED
SYSTEMS WITHOUT ALGEBRAIC LOOPS 97
MARTIN ARNOLD
1 CO-SIMULATION AND MODULAR TIME INTEGRATION 97
2 BLOCK-STRUCTURED COUPLED SYSTEMS 98
3 LOCAL ERROR ANALYSIS 100
4 CONVERGENCE ANALYSIS 101
5 SUMMARY 104
REFERENCES 105
ERROR ANALYSIS AND ERROR ESTIMATES
FOR CO-SIMULATION IN FMI
FOR MODEL EXCHANGE
AND CO-SIMULATION V2.0 107
MARTIN ARNOLD, CHRISTOPH CLAUFI, AND TOM SCHIERZ
1 INTRODUCTION 108
2 BLOCK REPRESENTATION OF COUPLED SYSTEMS 109
3 CONVERGENCE ANALYSIS 113
4 LOCAL ERROR ESTIMATES 116
5 NUMERICAL TEST: BENCHMARK QUARTER CAR 121
CONTENTS IX
CONCLUSIONS 123
REFERENCES 124
A UNIFIED (P)DAE MODELING APPROACH
FOR FLOW NETWORKS 127
LENNART JANSEN AND CAREN TISCHENDORF
1 MODELING OF FLOW NETWORKS 127
1.1 NETWORK TOPOLOGY DESCRIBING EQUATIONS 129
1.2 NETWORK ELEMENT MODELING 131
2 MODEL CLASSES FOR FLOW NETWORKS 143
2.1 STATIC NETWORKS WITH LUMPED ELEMENT MODELS 143
2.2 STATIC NETWORKS WITH SWITCHING ELEMENT MODELS 144
2.3 DYNAMIC NETWORKS WITH LUMPED ELEMENT MODELS 145
2.4 DYNAMIC NETWORKS WITH SWITCHING ELEMENT MODELS 147
2.5 DYNAMIC NETWORKS WITH DISTRIBUTED ELEMENT MODELS 148
CONCLUSIONS 149
REFERENCES 149
PART III MODEL ORDER REDUCTION
INDEX-AWARE MODEL ORDER REDUCTION FOR
HIGHER INDEX DAES 155
NICODEMUS BANAGAAYA AND WIL H.A. SCHILDERS
1 INTRODUCTION 156
2 LIMITATION OF CONVENTIONAL MOR METHODS 157
3 DECOUPLING OF INDEX-3 DAES 160
3.1 INDEX-3 SYSTEMS WITH A DIFFERENTIAL PART 161
4 GENERALIZED INDEX AWARE MODEL ORDER REDUCTION METHOD 165
4.1 GIMOR METHOD FOR DAE SYSTEMS WITH DIFFERENTIAL PART 166
4.2 GIMOR METHOD FOR PURELY ALGEBRAIC DAE SYSTEMS 171
5 NUMERICAL EXPERIMENTS 173
5.1 SIMPLE EXAMPLES 173
5.2 LARGE EXAMPLES 179
CONCLUSION 181
REFERENCES 182
MODEL ORDER REDUCTION OF DIFFERENTIAL ALGEBRAIC EQUATIONS
ARISING FROM THE
SIMULATION OF GAS TRANSPORT NETWORKS 183
SARA GRUNDEL, LENNART JANSEN, NILS HORNUNG, TANJA CLEES,
CAREN TISCHENDORF, AND PETER BENNER
1 INTRODUCTION 183
2 GAS TRANSPORT IN PIPELINE NETWORKS 184
3 TRACTABILITY INDEX 188
4 INDEX ANALYSIS AND REDUCTION 189
5 MODEL ORDER REDUCTION: POD 194
5.1 PROPER ORTHOGONAL DECOMPOSITION 195
5.2 POD FOR GAS TRANSPORT SIMULATION 197
X CONTENTS
6 NUMERICAL EXAMPLES 198
6.1 SIMPLE EXAMPLE 198
6.2 MEDIUM SIZE MODEL 201
7 DISCUSSION 204
REFERENCES 205
INDEX 207 |
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| author2 | Schöps, Sebastian 1980- |
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| dewey-raw | 515.352 |
| dewey-search | 515.352 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Conference Proceeding Book |
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| spelling | Progress in differential-algebraic equations Deskriptor 2013 [8th Workshop on Coupled Descriptor Systems]. Sebastian Schöps ... ed. Berlin [u.a.] Springer 2014 X, 208 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Differential-algebraic equations forum Literaturangaben Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd rswk-swf Research differential algebraic equations coupling modelling time integration multiscale model order reduction observability stability dynamics (DE-588)1071861417 Konferenzschrift 2013 Eringerfeld gnd-content Differential-algebraisches Gleichungssystem (DE-588)4229517-8 s DE-604 Schöps, Sebastian 1980- (DE-588)1013620127 edt Workshop über Gekoppelte Deskriptorsysteme 8. 2013 Eringerfeld Sonstige (DE-588)1063111625 oth Erscheint auch als Online-Ausgabe Progress in Differential-Algebraic Equations X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4760881&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027757528&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Progress in differential-algebraic equations Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd |
| subject_GND | (DE-588)4229517-8 (DE-588)1071861417 |
| title | Progress in differential-algebraic equations |
| title_auth | Progress in differential-algebraic equations |
| title_exact_search | Progress in differential-algebraic equations |
| title_full | Progress in differential-algebraic equations Deskriptor 2013 [8th Workshop on Coupled Descriptor Systems]. Sebastian Schöps ... ed. |
| title_fullStr | Progress in differential-algebraic equations Deskriptor 2013 [8th Workshop on Coupled Descriptor Systems]. Sebastian Schöps ... ed. |
| title_full_unstemmed | Progress in differential-algebraic equations Deskriptor 2013 [8th Workshop on Coupled Descriptor Systems]. Sebastian Schöps ... ed. |
| title_short | Progress in differential-algebraic equations |
| title_sort | progress in differential algebraic equations |
| topic | Differential-algebraisches Gleichungssystem (DE-588)4229517-8 gnd |
| topic_facet | Differential-algebraisches Gleichungssystem Konferenzschrift 2013 Eringerfeld |
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