Linear stochastic systems: a geometric approach to modeling, estimation and identification
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2015
|
| Series: | Series in Contemporary Mathematics
1 |
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (XV, 781 S.) 37 illus |
| ISBN: | 9783662457504 |
| ISSN: | 2364-009X |
| DOI: | 10.1007/978-3-662-45750-4 |
Staff View
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Record in the Search Index
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| adam_text | LINEAR STOCHASTIC SYSTEMS
/ LINDQUIST, ANDERS
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
GEOMETRY OF SECOND-ORDER RANDOM PROCESSES
SPECTRAL REPRESENTATION OF STATIONARY PROCESSES
INNOVATIONS, WOLD DECOMPOSITION, AND SPECTRAL FACTORIZATION
WOLD DECOMPOSITION AND SPECTRAL FACTORIZATION IN CONTINUOUS TIME
LINEAR FINITE-DIMENSIONAL STOCHASTIC SYSTEMS
THE GEOMETRY OF SPLITTING SUBSPACES
MARKOVIAN REPRESENTATIONS
PROPER MARKOVIAN REPRESENTATIONS IN HARDY SPACE
STOCHASTIC REALIZATION THEORY IN CONTINUOUS TIME
STOCHASTIC BALANCING AND MODEL REDUCTION
FINITE-INTERVAL STOCHASTIC REALIZATION AND PARTIAL REALIZATION THEORY
SUBSPACE IDENTIFICATION FOR TIME SERIES
ZERO DYNAMICS AND THE GEOMETRY OF THE RICCATI INEQUALITY
SMOOTHING AND INTERPOLATION
ACAUSAL LINEAR STOCHASTIC MODELS AND SPECTRAL FACTORIZATION
STOCHASTIC SYSTEMS WITH INPUTS
APPENDIX A. BASIC PRINCIPLES OF DETERMINISTIC REALIZATION THEORY
APPENDIX B. SOME TOPICS IN LINEAR ALGEBRA AND HILBERT SPACE THEORY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
LINEAR STOCHASTIC SYSTEMS
/ LINDQUIST, ANDERS
: 2015
ABSTRACT / INHALTSTEXT
THIS BOOK PRESENTS A TREATISE ON THE THEORY AND MODELING OF SECOND-ORDER
STATIONARY PROCESSES, INCLUDING AN EXPOSITION ON SELECTED APPLICATION
AREAS THAT ARE IMPORTANT IN THE ENGINEERING AND APPLIED SCIENCES. THE
FOUNDATIONAL ISSUES REGARDING STATIONARY PROCESSES DEALT WITH IN THE
BEGINNING OF THE BOOK HAVE A LONG HISTORY, STARTING IN THE 1940S WITH
THE WORK OF KOLMOGOROV, WIENER, CRAMER AND HIS STUDENTS, IN PARTICULAR
WOLD, AND HAVE SINCE BEEN REFINED AND COMPLEMENTED BY MANY OTHERS.
PROBLEMS CONCERNING THE FILTERING AND MODELING OF STATIONARY RANDOM
SIGNALS AND SYSTEMS HAVE ALSO BEEN ADDRESSED AND STUDIED, FOSTERED BY
THE ADVENT OF MODERN DIGITAL COMPUTERS, SINCE THE FUNDAMENTAL WORK OF
R.E. KALMAN IN THE EARLY 1960S. THE BOOK OFFERS A UNIFIED AND LOGICALLY
CONSISTENT VIEW OF THE SUBJECT BASED ON SIMPLE IDEAS FROM HILBERT SPACE
GEOMETRY AND COORDINATE-FREE THINKING. IN THIS FRAMEWORK, THE CONCEPTS
OF STOCHASTIC STATE SPACE AND STATE SPACE MODELING, BASED ON THE NOTION
OF THE CONDITIONAL INDEPENDENCE OF PAST AND FUTURE FLOWS OF THE RELEVANT
SIGNALS, ARE REVEALED TO BE FUNDAMENTALLY UNIFYING IDEAS. THE BOOK,
BASED ON OVER 30 YEARS OF ORIGINAL RESEARCH, REPRESENTS A VALUABLE
CONTRIBUTION THAT WILL INFORM THE FIELDS OF STOCHASTIC MODELING,
ESTIMATION, SYSTEM IDENTIFICATION, AND TIME SERIES ANALYSIS FOR DECADES
TO COME. IT ALSO PROVIDES THE MATHEMATICAL TOOLS NEEDED TO GRASP AND
ANALYZE THE STRUCTURES OF ALGORITHMS IN STOCHASTIC SYSTEMS THEORY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
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| dewey-raw | 519 |
| dewey-search | 519 |
| dewey-sort | 3519 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-45750-4 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:24:35Z |
| institution | BVB |
| isbn | 9783662457504 |
| issn | 2364-009X |
| language | English |
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| spelling | Lindquist, Anders Verfasser (DE-588)1022083473 aut Linear stochastic systems a geometric approach to modeling, estimation and identification Anders Lindquist ; Giorgio Picci Berlin [u.a.] Springer 2015 1 Online-Ressource (XV, 781 S.) 37 illus txt rdacontent c rdamedia cr rdacarrier Series in contemporary mathematics 1 2364-009X Mathematics Operator theory Systems theory Distribution (Probability theory) Systems Theory, Control Probability Theory and Stochastic Processes Operator Theory Mathematik Stationärer Prozess (DE-588)4056989-5 gnd rswk-swf Lineares stochastisches System (DE-588)4167737-7 gnd rswk-swf Stationärer Prozess (DE-588)4056989-5 s Lineares stochastisches System (DE-588)4167737-7 s DE-604 Picci, Giorgio 1942- Sonstige (DE-588)1089086083 oth Erscheint auch als Druck-Ausgabe, Hardcover 978-3-662-45749-8 (DE-604)BV044298417 Series in Contemporary Mathematics 1 (DE-604)BV042604582 1 https://doi.org/10.1007/978-3-662-45750-4 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027978841&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027978841&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Lindquist, Anders Linear stochastic systems a geometric approach to modeling, estimation and identification Series in Contemporary Mathematics Mathematics Operator theory Systems theory Distribution (Probability theory) Systems Theory, Control Probability Theory and Stochastic Processes Operator Theory Mathematik Stationärer Prozess (DE-588)4056989-5 gnd Lineares stochastisches System (DE-588)4167737-7 gnd |
| subject_GND | (DE-588)4056989-5 (DE-588)4167737-7 |
| title | Linear stochastic systems a geometric approach to modeling, estimation and identification |
| title_auth | Linear stochastic systems a geometric approach to modeling, estimation and identification |
| title_exact_search | Linear stochastic systems a geometric approach to modeling, estimation and identification |
| title_full | Linear stochastic systems a geometric approach to modeling, estimation and identification Anders Lindquist ; Giorgio Picci |
| title_fullStr | Linear stochastic systems a geometric approach to modeling, estimation and identification Anders Lindquist ; Giorgio Picci |
| title_full_unstemmed | Linear stochastic systems a geometric approach to modeling, estimation and identification Anders Lindquist ; Giorgio Picci |
| title_short | Linear stochastic systems |
| title_sort | linear stochastic systems a geometric approach to modeling estimation and identification |
| title_sub | a geometric approach to modeling, estimation and identification |
| topic | Mathematics Operator theory Systems theory Distribution (Probability theory) Systems Theory, Control Probability Theory and Stochastic Processes Operator Theory Mathematik Stationärer Prozess (DE-588)4056989-5 gnd Lineares stochastisches System (DE-588)4167737-7 gnd |
| topic_facet | Mathematics Operator theory Systems theory Distribution (Probability theory) Systems Theory, Control Probability Theory and Stochastic Processes Operator Theory Mathematik Stationärer Prozess Lineares stochastisches System |
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