Multidimensional systems theory and applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer
2003
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Rev. ed. of: Multidimensional systems theory, 1985 |
| Physical Description: | XIX, 269 S. graph. Darst. |
| ISBN: | 1402016239 |
Staff View
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Record in the Search Index
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| adam_text | MULTIDIMENSIONAL SYSTEMS THEORY AND APPLICATIONS SECOND EDITION BY N.K.
BOSE HRB SYSTEMS PROFESSOR AND UNIVERSITY ENDOWED FETTER FELLOW,
DEPARTMENT OF ELECTRICAL ENGINEERING, THE PENNSYLVANIA STATE UNIVERSITY,
UNIVERSITY PARK, PENNSYLVANIA, U.S.A. WITH CONTRIBUTION BY N.K. BOSE B.
BUCHBERGER AND J.P. GUIVER KLUWER ACADEMIC PUBLISHERS DORDRECHT / BOSTON
/ LONDON TABLE OF CONTENTS LIST OF ACRONYMS XI LIST OF NOTATIONS XII
PREFACE XIII ACKNOWLEDGMENTS XVII INTRODUCTION XIX 1. TRENDS IN
MULTIDIMENSIONAL SYSTEMS THEORY 1 1 INTRODUCTION 1 2 MULTIDIMENSIONAL
SYSTEMS STABILITY 2 2.1 MULTIDIMENSIONAL DIGITAL FILTERS 3 2.2
MULTIVARIATE NETWORKS 9 2.3 DELAY-DIFFERENTIAL SYSTEMS 12 2.4 STIFF
DIFFERENTIAL SYSTEMS 13 2.5 MULTIPASS PROCESSES 15 3 MULTIVARIATE
REALIZATION THEORY 15 3.1 STATE-SPACE REALIZATION THEORY 16 3.2
TRANSFORM DOMAIN REALIZATION THEORY 18 3.2.1 INTEGRAL REPRESENTATION OF
POSITIVE REAL FUNCTIONS 20 3.2.2 SUM OF SQUARES REPRESENTATION OF A FORM
IN NETWORK SYNTHESIS 22 4 TC-D PROBLEM OF MOMENTS AND ITS APPLICATIONS
IN MULTIDIMENSIONAL SYSTEMS THEORY 23 5 ROLE OF IRREDUCIBLE POLYNOMIALS
IN MULTIDIMENSIONAL SYSTEMS THEORY 26 6 HILBERT TRANSFORM AND SPECTRAL
FACTORIZATION 27 7 CONCLUSIONS 28 8 UPDATES 30 VLL VIII MULTIDIMENSIONAL
SYSTEMS THEORY AND APPLICATIONS 2. CAUSAL AND WEAKLY CAUSAL 2-D FILTERS
WITH APPLICATIONS IN STABILIZATION 35 1 SCALAR 2-D INPUT / OUTPUT
SYSTEMS 35 2 STABILITY 38 3 STRUCTURAL STABILITY 43 4 MULTI-INPUT
MULTI-OUTPUT SYSTEMS 43 5 STABILIZATION OF SCALAR SYSTEMS 44 6
CHARACTERIZATION OF STABILIZERS FOR SCALAR SYSTEMS 47 7 STABILIZATION OF
STRICTLY CAUSAL TRANSFER MATRICES 53 7.1 MTMO FEEDBACK SYSTEMS AND THEIR
STABILIZATION 55 8 CHARACTERIZATION OF STABILIZERS FOR MOVIO SYSTEMS 59
9 STABILIZATION OF WEAKLY CAUSAL SYSTEMS 63 10 STABILIZATION OF MEMO
WEAKLY CAUSAL SYSTEMS 73 11 CONCLUSIONS 77 12 UPDATES 77 3. THE EQUATION
AX = B OVER THE RING 79 1 INTRODUCTION 79 2 SUFFICIENT CONDITION FOR
SOLUTION 79 3 APPENDIX A. ZERO-DIMENSIONAL POLYNOMIAL IDEALS 86 4.
GROBNER BASES: AN ALGORITHMIC METHOD IN POLYNOMIAL IDEAL THEORY / 89 1
INTRODUCTION 89 2 GROBNER BASES 91 3 ALGORITHMIC CONSTRUCTION OF GROBNER
BASES 95 4 AN IMPROVED VERSION OF THE ALGORITHM 98 5 APPLICATION:
CANONICAL SIMPLIFICATION, DECISION OF IDEAL CONGRUENCE AND MEMBERSHIP,
COMPUTATION IN RESIDUE CLASS RINGS 103 6 APPLICATION: SOLVABILITY AND
EXACT SOLUTION OF SYSTEMS OF ALGEBRAIC EQUATIONS 108 7 APPLICATION:
SOLUTION OF LINEAR HOMOGENEOUS EQUATIONS WITH POLYNOMIAL COEFFICIENTS
116 8 GROBNER BASES FOR POLYNOMIAL IDEALS OVER THE INTEGERS 120 9 OTHER
APPLICATIONS 124 10 SPECIALIZATIONS, GENERALIZATIONS, IMPLEMENTATIONS,
COMPLEXITY 125 11 UPDATES 126 TABLE OF CONTENTS * IX 5. MULTIVARIATE
POLYNOMIALS, MATRICES, AND MATRIX-FRACTION DESCRIPTIONS 129 1
INTRODUCTION 129 2 RELATIVE PRIMENESS AND GCD EXTRACTION FROM
MULTIVARIATE POLYNOMIALS 131 2.1 TESTS FOR RELATIVE PRIMENESS 131 2.2
PRIMITIVE FACTORIZATION ALGORITHMS FOR GCD EXTRACTION 133 2.2.1
MULTIVARIATE GCD EXTRACTION FROM THE SYLVESTER MATRIX 133 2.3 BEZOUT
MATRIX BASED METHOD 135 2.3.1 MULTIVARIATE POLYNOMIAL GCD EXTRACTION
FROM BEZOUT MATRIX 136 3 POLYNOMIAL MATRIX PRIMITIVE FACTORIZATION IN
THE BIVARIATE CASE 138 3.1 PRIMITIVE FACTORIZATION OF BIVARIATE
POLYNOMIAL MATRICES 140 3.2 GENERAL FACTORIZATION OF BIVARIATE
POLYNOMIAL MATRICES 147 4 MULTIVARIATE POLYNOMIAL MATRIX FACTORIZATION
151 4.1 VARIOUS TYPES OF MULTIVARIATE POLYNOMIAL MATRIX FACTORIZATIONS
151 4.2 MODULES 151 4.3 VARIOUS DEGREES OF PRIMENESS 155 4.4 I2-MODULES
AND VECTOR SPACES 159 5 COMPUTATIONS FOR COPRIMENESS USING GROBNER BASES
161 5.1 ALGORITHM FOR COMPUTING THE RIGHT INVERSE OF ZLC MATRICES 162
5.2 MINOR COPRIMENESS AND GROBNER BASES 163 5.3 PROBLEMS IN FACTOR
COPRIMENESS AND GCLD (GCRD) EXTRACTION 168 6 GENERALIZATION OF THE SERRE
CONJECTURE AND ITS CONSEQUENCES 170 6.1 NORMAL FULL RANK MATRIX CASE 170
6.1.1 FACTORIZATION PROBLEM IN NORMAL FULL RANK CASE 174 6.2 DEGENERATE
RANK CASE 174 7 FACTORIZATION AS A PRODUCT OF ELEMENTARY MATRIX FACTORS
176 8 APPLICATIONS IN MULTIDIMENSIONAL SYSTEMS STABILIZATION 178 9
BEHAVIORAL APPROACH 184 10 CONCLUSIONS 187 6. RECENT IMPACTS OF
MULTIDIMENSIONAL SYSTEMS RESEARCH 191 1 INTRODUCTION 191 2 INFERENCE OF
STABILTY OF SETS OF MULTIDIMENSIONAL SYSTEMS FROM SUBSETS OF LOW
CARDINALITY 192 2.1 UNIVARIATE COMPLEX HURWITZ POLYNOMIAL CASE 192 2.2
MULTIVARIATE SCATTERING HURWITZ POLYNOMIAL CASE 193 2.3 ROBUST
WAVENUMBER RESPONSE 198 2.4 STABILITY OF INTERVAL MATRIX 199 3 MULTIPLE
DECONVOLUTION OPERATORS FOR ROBUST SUPERRESOLUTION 200 X
MULTIDIMENSIONAL SYSTEMS THEORY AND APPLICATIONS 3.1 RECURSIVE LEAST
SQUARES (RLS) ALGORITHM FOR SUPERRESOLUTION 202 3.2 BACKPROJECTION
ALGORITHM FOR SUPERRESOLUTION 206 4 MULTISENSOR ARRAY-BASED
SUPERRESOLUTION 207 4.1 MULTISENSOR HIGH RESOLUTION IMAGE RECONSTRUCTION
MODEL 209 4.2 REGULARIZATION METHODS 211 5 WAVELETS FOR SUPERRESOLUTION
213 6 OTHER RECENT APPLICATIONS 216 7 CONCLUSIONS 218 7. MULTIVARIATE
RATIONAL APPROXIMANTS OF THE PADE-TYPE 221 1 INTRODUCTION AND MOTIVATION
221 2 MULTIVARIATE PAD6-TYPE APPROXIMANTS (SCALAR CASE) 222 3 PADE-TYPE
MATRIX APPROXIMANTS 226 4 CONCLUSIONS 227 5 UPDATES 228 8. OLD PROBLEM
SOLUTIONS AND SOME NEW PROBLEMS 231 1 PROGRESS TOWARDS SOLUTION OF OPEN
PROBLEMS SINCE 1985 231 1.1 NONESSENTIAL SINGULARITIES OF THE SECOND
KIND (NSSK) 231 1.2 RATIONAL SPECTRAL FACTORIZATION 232 1.3 FEEDBACK
STABILIZATION 233 1.4 ROBUST CONTINUOUS SYSTEM STABILITY 235 1.5
STABILITY OF DISCRETE SYSTEMS UNDER COEFFICIENT PERTURBATION 236 1.6
ROBUST STABILITY OF MULTIVARIABLE SYSTEMS 237 2 NEW OPEN PROBLEMS 238
2.1 GREATEST COMMON LEFT (RIGHT) DIVISOR COMPUTATION 238 2.2
DETERMINANTAL (LEFT RIGHT JOINT) FACTORIZATION 239 2.3 UNIMODULAR
COMPLETION OVER RING OF PROPER STABLE MULTIVARIATE RATIONAL FUNCTIONS
240 2.4 MINIMAX CONTROLLER AND GROBNER BASES 242 REFERENCES 243 INDEX
265
|
| any_adam_object | 1 |
| author | Bose, Nirmal Kumar 1901-1972 |
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| dewey-ones | 003 - Systems |
| dewey-raw | 003 |
| dewey-search | 003 |
| dewey-sort | 13 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV023799329 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:37:04Z |
| institution | BVB |
| isbn | 1402016239 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017441531 |
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| owner | DE-634 DE-11 |
| owner_facet | DE-634 DE-11 |
| physical | XIX, 269 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Kluwer |
| record_format | marc |
| spelling | Bose, Nirmal Kumar 1901-1972 Verfasser (DE-588)119007738 aut Multidimensional systems theory and applications by N. K. Bose 2. ed. Dordrecht [u.a.] Kluwer 2003 XIX, 269 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Rev. ed. of: Multidimensional systems theory, 1985 Systemtheorie (DE-588)4058812-9 gnd rswk-swf Mehrdimensionales System (DE-588)4431187-4 gnd rswk-swf Systemtheorie (DE-588)4058812-9 s DE-604 Mehrdimensionales System (DE-588)4431187-4 s HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017441531&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bose, Nirmal Kumar 1901-1972 Multidimensional systems theory and applications Systemtheorie (DE-588)4058812-9 gnd Mehrdimensionales System (DE-588)4431187-4 gnd |
| subject_GND | (DE-588)4058812-9 (DE-588)4431187-4 |
| title | Multidimensional systems theory and applications |
| title_auth | Multidimensional systems theory and applications |
| title_exact_search | Multidimensional systems theory and applications |
| title_full | Multidimensional systems theory and applications by N. K. Bose |
| title_fullStr | Multidimensional systems theory and applications by N. K. Bose |
| title_full_unstemmed | Multidimensional systems theory and applications by N. K. Bose |
| title_short | Multidimensional systems theory and applications |
| title_sort | multidimensional systems theory and applications |
| topic | Systemtheorie (DE-588)4058812-9 gnd Mehrdimensionales System (DE-588)4431187-4 gnd |
| topic_facet | Systemtheorie Mehrdimensionales System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017441531&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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