Linear and nonlinear model order reduction for numerical simulation of electric circuits:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Berlin
Logos-Verl.
2010
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| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | IX, 95 S. graph. Darst. |
| ISBN: | 9783832527112 |
Staff View
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Record in the Search Index
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IMAGE 1
CONTENTS
MOTIVATION 1
1 INTRODUCTION 5
1.1 LINEAR DYNAMICAL SYSTEMS 5
1.1.1 EXTERNAL REPRESENTATION 6
1.1.2 INTERNAL REPRESENTATION 7
1.1.3 REACHABILITY 10
1.1.4 OBSERVABILITY 12
1.1.5 INFINITE GRAMIANS 13
1.1.6 REALIZATION PROBLEM 14
1.1.7 HANKEL OPERATOR 15
1.2 DIFFERENTIAL ALGEBRAIC EQUATIONS 10
2 LINEAR M O D EL ORDER REDUCTION 25
2.1 LINEAR REDUCTION OF DYNAMICAL SYSTEMS 25
2.2 MOR METHODS 27
2.2.1 INTRODUCTION TO KRYLOV PROJECTION TECHNIQUES 28
2.2.2 METHODS BASED ON HANKEL NORM APPROXIMATIONS AND TDR . . 32
2.3 HOMOTOPIZED DAES 35
2.4 MODEL ORDER REDUCTION AND E-EMBEDDING 3G
2.5 GENERAL LINEAR SYSTEMS 41
2.5.1 TRANSFORMATION TO KRONECKER FORM 41
2.5.2 TRANSFORMATION VIA SINGULAR VALUE DECOMPOSITION 44
2.6 PARAMETRIC MODEL ORDER REDUCTION 46
VII
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1008941492
DIGITALISIERT DURCH
IMAGE 2
CONTENTS
3 NONLINEAR MODEL ORDER REDUCTION 51
3.1 NONLINEAR VERSUS LINEAR MOR 51
3.2 POD AND ADAPTATIONS 53
3.2.1 BASIS OF POD 53
3.2.2 ADAPTION OF POD FOR NONLINEAR PROBLEMS 54
3.3 TRAJECTORY PIECEWISE LINEAR TECHNIQUES 58
3.3.1 SELECTION OF LINEARIZATION POINTS 58
3.3.2 DETERMINATION OF WEIGHTS 59
3.3.3 REDUCTION OF LINEAR SUB-MODELS GO
3.3.4 CONSTRUCTION OF REDUCED ORDER BASIS GL
3.4 BALANCED TRUNCATION IN NONLINEAR MOR 61
4 EXAMPLES AND NUMERICAL RESULTS 63
4.1 LINEAR CIRCUITS 63
4.2 NONLINEAR CIRCUITS 76
5 CONCLUSIONS AND OUTLOOK 87
BIBLIOGRAPHY 89
VIII |
| any_adam_object | 1 |
| author | Mohaghegh, Kasra 1977- |
| author_GND | (DE-588)142808695 |
| author_facet | Mohaghegh, Kasra 1977- |
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| bvnumber | BV037417838 |
| classification_rvk | ZN 5405 |
| ctrlnum | (OCoLC)695566920 (DE-599)DNB1008941492 |
| dewey-full | 621.3815015186 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.3815015186 |
| dewey-search | 621.3815015186 |
| dewey-sort | 3621.3815015186 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Thesis Book |
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| spelling | Mohaghegh, Kasra 1977- Verfasser (DE-588)142808695 aut Linear and nonlinear model order reduction for numerical simulation of electric circuits Kasra Mohaghegh Berlin Logos-Verl. 2010 IX, 95 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Zugl.: Wuppertal, Univ., Diss., 2010 Ordnungsreduktion (DE-588)4136085-0 gnd rswk-swf Elektronische Schaltung (DE-588)4113419-9 gnd rswk-swf Numerisches Modell (DE-588)4338132-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Elektronische Schaltung (DE-588)4113419-9 s Numerisches Modell (DE-588)4338132-7 s Ordnungsreduktion (DE-588)4136085-0 s DE-604 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3631426&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=022570148&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mohaghegh, Kasra 1977- Linear and nonlinear model order reduction for numerical simulation of electric circuits Ordnungsreduktion (DE-588)4136085-0 gnd Elektronische Schaltung (DE-588)4113419-9 gnd Numerisches Modell (DE-588)4338132-7 gnd |
| subject_GND | (DE-588)4136085-0 (DE-588)4113419-9 (DE-588)4338132-7 (DE-588)4113937-9 |
| title | Linear and nonlinear model order reduction for numerical simulation of electric circuits |
| title_auth | Linear and nonlinear model order reduction for numerical simulation of electric circuits |
| title_exact_search | Linear and nonlinear model order reduction for numerical simulation of electric circuits |
| title_full | Linear and nonlinear model order reduction for numerical simulation of electric circuits Kasra Mohaghegh |
| title_fullStr | Linear and nonlinear model order reduction for numerical simulation of electric circuits Kasra Mohaghegh |
| title_full_unstemmed | Linear and nonlinear model order reduction for numerical simulation of electric circuits Kasra Mohaghegh |
| title_short | Linear and nonlinear model order reduction for numerical simulation of electric circuits |
| title_sort | linear and nonlinear model order reduction for numerical simulation of electric circuits |
| topic | Ordnungsreduktion (DE-588)4136085-0 gnd Elektronische Schaltung (DE-588)4113419-9 gnd Numerisches Modell (DE-588)4338132-7 gnd |
| topic_facet | Ordnungsreduktion Elektronische Schaltung Numerisches Modell Hochschulschrift |
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