Hankel norm approximation for infinite dimensional systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London
Springer
2002
|
| Schriftenreihe: | Lecture notes in control and information sciences
277 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Erscheint: Mai 2002 |
| Beschreibung: | VIII, 142 S. Ill., graph. Darst. |
| ISBN: | 3540433279 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804129099174641664 |
|---|---|
| adam_text | CONTENTS 1 INTRODUCTION 1 1.1 THE SUB-OPTIMAL NEHARI PROBLEM 4 1.2 THE
SUB-OPTIMAL HANKEL NORM APPROXIMATION PROBLEM 5 1.3 THE MODEL REDUCTION
PROBLEM 6 1.3.1 THE HANKEL NORM OF SYSTEMS 6 1.3.2 THE MODEL REDUCTION
PROBLEM 8 1.3.3 HANKEL NORM APPROXIMATION AND MODEL REDUCTION 8 1.4
ORGANIZATION OF THE BOOK 10 2 CLASSES OF WELL-POSED LINEAR SYSTEMS 13
2.1 WELL-POSED LINEAR SYSTEMS 14 2.2 DUALITY THEORY 16 2.3 THE
PRITCHARD-SALAMON CLASS 20 2.4 THE ANALYTIC CLASS 25 2.5 TRANSFER
FUNCTION ALGEBRAS 52 3 COMPACTNESS AND NUCLEARITY OF HANKEL OPERATORS 63
3.1 COMPACTNESS OF HANKEL OPERATORS 66 3.2 NUCLEARITY OF HANKEL
OPERATORS 74 3.3 LOQ*ERROR OF SUB-OPTIMAL HANKEL NORM APPROXIMANTS 80
VIII CONTENTS 4 CHARACTERIZATION OF ALL SOLUTIONS 85 4.1 THE SUB-OPTIMAL
HANKEL NORM APPROXIMATION PROBLEM 85 4.2 MAIN ASSUMPTIONS AND A FEW
USEFUL CONSEQUENCES 89 4.3 ALL SOLUTIONS TO THE SUB-OPTIMAL HANKEL NORM
APPROXIMATION PROBLEM 95 4.4 A COMPARISON WITH EXISTING RESULTS 99 5
STATE SPACE SOLUTIONS 101 5.1 J* SPECTRAL FACTORIZATION FOR THE
PRITCHARD-SALAMON CLASS 101 5.2 J*SPECTRAL FACTORIZATION FOR THE
ANALYTIC CLASS 104 6 THE NON-EXPONENTIALLY STABLE CASE 109 6.1 A FEW
USEFUL RESULTS 110 6.2 THE CLASS OF SYSTEMS AND THE MAIN RESULT ILL 6.3
STATE-SPACE SOLUTIONS 114 7 THE CASE OF REGULAR LINEAR SYSTEMS 119 7.1
RECIPROCAL SYSTEMS 119 7.2 THE SUB-OPTIMAL HANKEL NORM APPROXIMATION
PROBLEM 121 7.3 THE SUB-OPTIMAL NEHARI PROBLEM 123 8 CODA 127
BIBLIOGRAPHY 131 INDEX 139 STANDARD NOTATION 141 PPN: 099144255 TITEL:
HANKEL NORM APPROXIMATION FOR INFINITE DIMENSIONAL SYSTEMS / A. SASANE.
- BERLIN : SPRINGER, 2002 ISBN: 3-540-43327-9 BIBLIOGRAPHISCHER
DATENSATZ IM SWB-VERBUND
|
| any_adam_object | 1 |
| author | Sasane, Amol 1976- |
| author_GND | (DE-588)1049615182 |
| author_facet | Sasane, Amol 1976- |
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| author_sort | Sasane, Amol 1976- |
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| building | Verbundindex |
| bvnumber | BV014214284 |
| callnumber-first | Q - Science |
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| callnumber-raw | QA329.6 |
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| classification_rvk | SI 845 |
| ctrlnum | (OCoLC)49326904 (DE-599)BVBBV014214284 |
| dewey-full | 515/.723 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.723 |
| dewey-search | 515/.723 |
| dewey-sort | 3515 3723 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014214284 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:59:45Z |
| institution | BVB |
| isbn | 3540433279 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009746036 |
| oclc_num | 49326904 |
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| owner | DE-739 DE-83 |
| owner_facet | DE-739 DE-83 |
| physical | VIII, 142 S. Ill., graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences Engineering online library |
| spelling | Sasane, Amol 1976- Verfasser (DE-588)1049615182 aut Hankel norm approximation for infinite dimensional systems Amol Sasane Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong ; London Springer 2002 VIII, 142 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 277 Engineering online library Erscheint: Mai 2002 Automatic control Control theory Hankel operators Approximation (DE-588)4002498-2 gnd rswk-swf Lineares Differentialgleichungssystem (DE-588)4452554-0 gnd rswk-swf Ordnungsreduktion (DE-588)4136085-0 gnd rswk-swf Unendlichdimensionales System (DE-588)4207956-1 gnd rswk-swf Hankel-Operator (DE-588)4314042-7 gnd rswk-swf Unendlichdimensionales System (DE-588)4207956-1 s Approximation (DE-588)4002498-2 s Hankel-Operator (DE-588)4314042-7 s DE-604 Lineares Differentialgleichungssystem (DE-588)4452554-0 s 1\p DE-604 Ordnungsreduktion (DE-588)4136085-0 s 2\p DE-604 Lecture notes in control and information sciences 277 (DE-604)BV005848579 277 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009746036&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Sasane, Amol 1976- Hankel norm approximation for infinite dimensional systems Lecture notes in control and information sciences Automatic control Control theory Hankel operators Approximation (DE-588)4002498-2 gnd Lineares Differentialgleichungssystem (DE-588)4452554-0 gnd Ordnungsreduktion (DE-588)4136085-0 gnd Unendlichdimensionales System (DE-588)4207956-1 gnd Hankel-Operator (DE-588)4314042-7 gnd |
| subject_GND | (DE-588)4002498-2 (DE-588)4452554-0 (DE-588)4136085-0 (DE-588)4207956-1 (DE-588)4314042-7 |
| title | Hankel norm approximation for infinite dimensional systems |
| title_auth | Hankel norm approximation for infinite dimensional systems |
| title_exact_search | Hankel norm approximation for infinite dimensional systems |
| title_full | Hankel norm approximation for infinite dimensional systems Amol Sasane |
| title_fullStr | Hankel norm approximation for infinite dimensional systems Amol Sasane |
| title_full_unstemmed | Hankel norm approximation for infinite dimensional systems Amol Sasane |
| title_short | Hankel norm approximation for infinite dimensional systems |
| title_sort | hankel norm approximation for infinite dimensional systems |
| topic | Automatic control Control theory Hankel operators Approximation (DE-588)4002498-2 gnd Lineares Differentialgleichungssystem (DE-588)4452554-0 gnd Ordnungsreduktion (DE-588)4136085-0 gnd Unendlichdimensionales System (DE-588)4207956-1 gnd Hankel-Operator (DE-588)4314042-7 gnd |
| topic_facet | Automatic control Control theory Hankel operators Approximation Lineares Differentialgleichungssystem Ordnungsreduktion Unendlichdimensionales System Hankel-Operator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009746036&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005848579 |
| work_keys_str_mv | AT sasaneamol hankelnormapproximationforinfinitedimensionalsystems |