Time varying systems and computations:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston [u.a.]
Kluwer
1998
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 459 S. Ill. |
| ISBN: | 0792381890 |
Internformat
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| 246 | 1 | 3 | |a Time-varying systems and computations |
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Datensatz im Suchindex
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|---|---|
| adam_text | IMAGE 1
TIME-VARYING SYSTEMS
AND COMPUTATIONS
BY PATRICK DEWILDE AND ALLE-JAN VAN DER VEEN
DIMES, DELFT UNIVERSITY OF TECHNOLOGY, DELFT, THE NETHERLANDS
FF
KLUWER ACADEMIC PUBLISHERS BOSTON / DORDRECHT / LONDON
IMAGE 2
CONTENTS
PREFACE IX
ACKNOWLEDGMENTS XIII
1. INTRODUCTION 1
1.1 COMPUTATIONAL LINEAR ALGEBRA AND TIME-VARYING SYSTEMS 1
1.2 OBJECTIVES OF COMPUTATIONAL MODELING 7
1.3 CONNECTIONS AND ALTERNATIVE APPROACHES 13
PART I REALIZATION
2. NOTATION AND PROPERTIES OF NON-UNIFORM SPACES 19
2.1 SPACES OF NON-UNIFORM DIMENSIONS 20
2.2 SHIFTS AND DIAGONAL REPRESENTATIONS 26
2.3 NOTES 30
3. TIME-VARYING STATE SPACE REALIZATIONS 33
3.1 REALIZATIONS OF A TRANSFER OPERATOR 34
3.2 SPECIAL CLASSES OF TIME-VARYING SYSTEMS 41
3.3 EXAMPLES AND EXTENSIONS *., 46
3.4 REALIZATION THEORY FOR FINITE MATRICES 52
3.5 IDENTIFICATION FROM INPUT-OUTPUT DATA 62
3.6 REALIZATION THEORY FOR MATRICES OF LOW DISPLACEMENT RANK 65
4. DIAGONAL ALGEBRA 73
4.1 SEQUENCES OF DIAGONALS 74
4.2 THE DIAGONAL ALGEBRA OF XI 76
4.3 SLICED BASES AND PROJECTIONS IN XI 79
5. OPERATOR REALIZATION THEORY 87
5.1 THE HANKEL OPERATOR 88
5.2 REACHABILITY AND OBSERVABILITY OPERATORS 91
5.3 REACHABILITY AND OBSERVABILITY GRAMIANS 95
IMAGE 3
VI TIME-VARYING SYSTEMS AND COMPUTATIONS
5.4 ABSTRACT REALIZATION THEORY 102
5.5 NOTES 116
6. ISOMETRIC AND INNER OPERATORS 121
6.1 REALIZATION OF INNER OPERATORS 122
6.2 EXTERNAL FACTORIZATION 126
6.3 STATE-SPACE PROPERTIES OF ISOMETRIC SYSTEMS 132
6.4 BEURLING-LAX LIKE THEOREM 136
6.5 EXAMPLE 142
7. INNER-OUTER FACTORIZATION AND OPERATOR INVERSION 145
7.1 INTRODUCTION 146
7.2 INNER-OUTER FACTORIZATIONS 149
7.3 OPERATOR INVERSION 165
7.4 EXAMPLES 172
7.5 ZERO STRUCTURE AND ITS LIMITING BEHAVIOR 179
7.6 NOTES 186
PART II INTERPOLATION AND APPROXIMATION
8. J-UNITARY OPERATORS 191
8.1 SCATTERING OPERATORS 191
8.2 GEOMETRY OF DIAGONAL J-INNER PRODUCT SPACES 200
8.3 STATE SPACE PROPERTIES OF J-UNITARY OPERATORS 204
8.4 PAST AND FUTURE SCATTERING OPERATORS 210
8.5 J-UNITARY EXTERNAL FACTORIZATION 215
8.6 J-IOSSLESS AND J-INNER CHAIN SCATTERING OPERATORS 218
8.7 THE MIXED CAUSALITY CASE 223
9. ALGEBRAIC INTERPOLATION 233
9.1 DIAGONAL EVALUATIONS OR THE W-TRANSFORM 235
9.2 THE ALGEBRAIC NEVANLINNA-PICK PROBLEM 237
9.3 THE TANGENTIAL NEVANLINNA-PICK PROBLEM 242
9.4 THE HERMITE-FEJER INTERPOLATION PROBLEM 242
9.5 CONJUGATION OF A LEFT INTERPOLATION PROBLEM 245
9.6 TWO SIDED INTERPOLATION 250
9.7 THE FOUR BLOCK PROBLEM 260
10. HANKEL-NORM MODEL REDUCTION 263
10.1 INTRODUCTION 264
10.2 APPROXIMATION VIA INDEFINITE INTERPOLATION 269
10.3 STATE REALIZATION OF THE APPROXIMANT 276
10.4 PARAMETRIZATION OF ALL APPROXIMANTS 282
10.5 SCHUR-TYPE RECURSIVE INTERPOLATION 292
IMAGE 4
CONTENTS
VLL
10.6 THE NEHARI PROBLEM 300
10.7 CONCLUDING REMARKS 306
11. LOW-RANK MATRIX APPROXIMATION AND SUBSPACE TRACKING 307
11.1 INTRODUCTION 307
11.2 J-UNITARY MATRICES 309
11.3 APPROXIMATION THEORY 311
11.4 HYPERBOLIC QR FACTORIZATION 316
11.5 HYPERBOLIC URV DECOMPOSITION 322
11.6 UPDATING THE SSE-2 325
11.7 NOTES 331
PART III FACTORIZATION
12. ORTHOGONAL EMBEDDING 337
12.1 INTRODUCTION AND CONNECTIONS 338
12.2 STRICTLY CONTRACTIVE SYSTEMS 343
12.3 CONTRACTIVE SYSTEMS: THE BOUNDARY CASE 347
12.4 LOSSLESS EMBEDDING 351
12.5 NUMERICAL ISSUES 354
12.6 NOTES 359
13. SPECTRAL FACTORIZATION 363
13.1 INTRODUCTION 363
13.2 SPECTRAL FACTORIZATION 365
13.3 COMPUTATIONAL ISSUES 371
13.4 CONVERGENCE OF THE RICCATI RECURSION 372
13.5 CONNECTIONS 376
13.6 NOTES 380
14. LOSSLESS CASCADE FACTORIZATIONS 383
14.1 TIME-INVARIANT CASCADE FACTORIZATIONS 383
14.2 PARSIMONIOUS PARAMETRIZATION OF CONTRACTIVE LTI SYSTEMS 390
14.3 TIME-VARYING E-BASED CASCADE FACTORIZATION 397
14.4 TIME-VARYING 0-BASED CASCADE FACTORIZATION 410
15. CONCLUSION 419
APPENDICES 423
A-HUBERT SPACE DEFINITIONS AND PROPERTIES 423
REFERENCES 435
GLOSSARY OF NOTATION 453
INDEX 455
|
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| spelling | Dewilde, Patrick Verfasser (DE-588)151392226 aut Time varying systems and computations by Patrick Dewilde and Alle-Jan van der Veen Time-varying systems and computations Boston [u.a.] Kluwer 1998 XIII, 459 S. Ill. txt rdacontent n rdamedia nc rdacarrier Datenverarbeitung Algebras, Linear Data processing Functions of complex variables Data processing System theory Datenverarbeitung (DE-588)4011152-0 gnd rswk-swf Lineares System (DE-588)4125617-7 gnd rswk-swf Zeitabhängigkeit (DE-588)4320088-6 gnd rswk-swf Lineares System (DE-588)4125617-7 s Zeitabhängigkeit (DE-588)4320088-6 s Datenverarbeitung (DE-588)4011152-0 s DE-604 Veen, Alle-Jan van der Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008407858&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dewilde, Patrick Veen, Alle-Jan van der Time varying systems and computations Datenverarbeitung Algebras, Linear Data processing Functions of complex variables Data processing System theory Datenverarbeitung (DE-588)4011152-0 gnd Lineares System (DE-588)4125617-7 gnd Zeitabhängigkeit (DE-588)4320088-6 gnd |
| subject_GND | (DE-588)4011152-0 (DE-588)4125617-7 (DE-588)4320088-6 |
| title | Time varying systems and computations |
| title_alt | Time-varying systems and computations |
| title_auth | Time varying systems and computations |
| title_exact_search | Time varying systems and computations |
| title_full | Time varying systems and computations by Patrick Dewilde and Alle-Jan van der Veen |
| title_fullStr | Time varying systems and computations by Patrick Dewilde and Alle-Jan van der Veen |
| title_full_unstemmed | Time varying systems and computations by Patrick Dewilde and Alle-Jan van der Veen |
| title_short | Time varying systems and computations |
| title_sort | time varying systems and computations |
| topic | Datenverarbeitung Algebras, Linear Data processing Functions of complex variables Data processing System theory Datenverarbeitung (DE-588)4011152-0 gnd Lineares System (DE-588)4125617-7 gnd Zeitabhängigkeit (DE-588)4320088-6 gnd |
| topic_facet | Datenverarbeitung Algebras, Linear Data processing Functions of complex variables Data processing System theory Lineares System Zeitabhängigkeit |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008407858&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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