Time varying system theory and computational modeling: realization, approximation, and factorization
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | Dutch English |
| Veröffentlicht: |
1993
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Delft, Technische Univ., Diss., 1993 |
| Beschreibung: | XI, 339 S. graph. Darst. |
| ISBN: | 9053260056 |
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Datensatz im Suchindex
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| adam_text | IMAGE 1
TIME-VARYING SYSTEM THEORY AND
COMPUTATIONAL MODELING
REALIZATION, APPROXIMATION, AND FACTORIZATION
PROEFSCHRIFT
TER VERKRIJGING VAN DE GRAAD VAN DOCTOR AAN DE TECHNISCHE UNIVERSITEIT
DELFT, OP GEZAG VAN DE RECTOR MAGNIFICUS, PROF. DRS. RA. SCHENCK, IN HET
OPENBAAR TE VERDEDIGEN TEN OVERSTAAN VAN EEN COMMISSIE AANGEWEZEN DOOR
HET COLLEGE VAN DEKANEN, OP 1 JUNI 1993 TE 14.00 UUR DOOR
ALLE-JAN VAN DER VEEN
GEBOREN TE VOORSCHOTEN ELEKTROTECHNISCH INGENIEUR
*
IMAGE 2
CONTENTS
SUMMARY V
PREFACE VUE
1 INTRODUCTION 1
1. COMPUTATIONAL ALGEBRA AND TIME-VARYING MODELING /
2. ()BJECTIVES OF COMPUTATIONAL LINEAR ALGEBRA 8
3. ABOUT THIS THESIS 13
BIBLIOGRAPHY 15
2 SIGNALS AND SYSTEM DETINITIONS 17
1. HILBERT SPACE DEFINITIONS AND PROPERTIES 18
2. NON-UNIFORM SIGNALS AND TRANSFER OPERATORS 27
3. THE DIAGONAL ALGEBRA OF X 2 37
BIBLIOGRAPHY 51
3 REALIZATION THEORY 53
1. REALIZATIONS OF A TRANSFER OPERATOR 53
2. REALIZATIONS FOR FLNITE MATRICES 61
3. THE HANKEL OPERATOR 69
4. ABSTRACT REALIZATION THEORY 82 *
5. STATE-SPACE ISOMORPHISMS 102
IMAGE 3
X
CONTENTS
6. DISCUSSION 706
BIBLIOGRAPHY 110
4 INNER OPERATORS 115
1. REALIZATION OF INNER OPERATORS 115
2. INNER FACTORIZATIONS 126
BIBLIOGRAPHY 149
5 J-UNITARY OPERATORS 151
1. REALIZATION OF J-UNITARY OPERATORS 153
2. J-INNER COPRIME FACTORIZATION 171
3. DEFINITE INTERPOLATION 175
BIBLIOGRAPHY 182
6 HANKEL-NORM MODEL REDUCTION 185
1. INTRODUCTION 185
2. APPROXIMATION VIA INDEFINITE INTERPOLATION 192
3. STATE REALIZATION OF THE APPROXIMANT 200
4. PARAMETRIZATION OF ALL APPROXIMANTS 206
5. THE NEHARI PROBLEM 217
6. ORDER-RECURSIVE INTERPOLATION 222
7. CONCLUSIONS 232
BIBLIOGRAPHY 232
7 ORTHOGONAL EMBEDDING 235
1. INTRODUCTION AND CONNECTIONS 236
2. STRICTLY CONTRACTIVE SYSTEMS 241
3. STRICTLY CONTRACTIVE SYSTEMS 245
4. NUMERICAL ISSUES 247
5. THE BOUNDARY CASE 252
BIBLIOGRAPHY 261
IMAGE 4
CONTENTS
XI
8 SPECTRAL FACTORIZATION 265
1. INTRODUCTION 265
2. SPECTRAL FACTORIZATION 267
3. COMPUTATIONAL ISSUES 274
4. CONVERGENCE OF THE RICCATI RECURSION 275
5. CONNECTIONS 279
BIBLIOGRAPHY 283
9 LOSSLESS CASCADE FACTORIZATIONS 285
1. TIME-INVARIANT CASCADE FACTORIZATIONS 285
2. TIME-VARYING Z-BASED CASCADE FACTORIZATION 292
3. TIME-VARYING 0-BASED CASCADE FACTORIZATION 307
BIBLIOGRAPHY 314
10 CONCLUSION 319
1. APPLICATIONS TO COMPUTATIONAL LINEAR ALGEBRA 319
2. APPLICATION TO AN //*-CONTROL PROBLEM 323
BIBLIOGRAPHY 325
SAMENVATTING 327
BIOGRAPHY 329
GLOSSARY OFNOTATION 332
INDEX 335
|
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| id | DE-604.BV009532207 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:36:37Z |
| institution | BVB |
| isbn | 9053260056 |
| language | Dutch English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006294293 |
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| physical | XI, 339 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
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| spelling | Veen, Alle-Jan van der Verfasser aut Time varying system theory and computational modeling realization, approximation, and factorization door Alle-Jan van der Veen Time-varying system theory and computational modeling 1993 XI, 339 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Delft, Technische Univ., Diss., 1993 Zeitabhängigkeit (DE-588)4320088-6 gnd rswk-swf Lineares System (DE-588)4125617-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Lineares System (DE-588)4125617-7 s Zeitabhängigkeit (DE-588)4320088-6 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006294293&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Veen, Alle-Jan van der Time varying system theory and computational modeling realization, approximation, and factorization Zeitabhängigkeit (DE-588)4320088-6 gnd Lineares System (DE-588)4125617-7 gnd |
| subject_GND | (DE-588)4320088-6 (DE-588)4125617-7 (DE-588)4113937-9 |
| title | Time varying system theory and computational modeling realization, approximation, and factorization |
| title_alt | Time-varying system theory and computational modeling |
| title_auth | Time varying system theory and computational modeling realization, approximation, and factorization |
| title_exact_search | Time varying system theory and computational modeling realization, approximation, and factorization |
| title_full | Time varying system theory and computational modeling realization, approximation, and factorization door Alle-Jan van der Veen |
| title_fullStr | Time varying system theory and computational modeling realization, approximation, and factorization door Alle-Jan van der Veen |
| title_full_unstemmed | Time varying system theory and computational modeling realization, approximation, and factorization door Alle-Jan van der Veen |
| title_short | Time varying system theory and computational modeling |
| title_sort | time varying system theory and computational modeling realization approximation and factorization |
| title_sub | realization, approximation, and factorization |
| topic | Zeitabhängigkeit (DE-588)4320088-6 gnd Lineares System (DE-588)4125617-7 gnd |
| topic_facet | Zeitabhängigkeit Lineares System Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006294293&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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