Topics in multidimensional linear systems theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London ; Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong
Springer
2000
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| Series: | Lecture notes in control and information sciences
256 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 164 S. |
| ISBN: | 1852333367 9781852333362 |
Staff View
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Record in the Search Index
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| adam_text | IMAGE 1
EVA ZERZ
TOPICS IN
MULTIDIMENSIONAL LINEAR SYSTEMS THEORY
WITH 4 FIGURES
SPRINGER
IMAGE 2
TABLE OF CONTENTS
1. CONTROUABILITY OF MULTIDITNENSIONAL SYSTEMS 1
1.1 PRELIMINARIES AND NOTATION 2
1.1.1 GROEBNER BASES 2
1.1.2 ELEMENTARY ALGEBRAIC GEOMETRY 3
1.2 PRIMENESS OF MULTIVARIATE POLYNOMIAL MATRICES 4
1.2.1 ZERO AND MINOR PRIMENESS 5
1.2.2 FACTOR PRIMENESS 7
1.2.3 RELATIONS BETWEEN THE VARIOUS PRIMENESS NOTIONS . . .. 11 1.2.4
MODULE-THEORETIC INTERPRETATION OF PRIMENESS 14
1.3 CONTROUABILITY, OBSERVABILITY, AND AUTONOMY 15
1.3.1 CONTROLLABLE-AUTONOMOUS DECOMPOSITIONS 18
1.4 CONTROUABILITY AS CONCATENABILITY OF TRAJECTORIES 22
1.4.1 PREVIOUS DEFINITIONS OF CONTROUABILITY 22
1.4.2 A NEW DEFINITION OF CONTROUABILITY 26
1.4.3 BEHAVIORAL AND CLASSICAL DEFINITIONS 32
1.5 CONTROUABILITY AS PARAMETERIZABILITY 33
1.5.1 THE PARAMETERIZABILITY CRITERION 33
1.5.2 EXAMPLES 34
2. CO-PRIME FACTORIZATIONS OF MULTIVARIATE RATIONAL MATRICES 41 2.1
NOTIONS 42
2.2 CHARACTERIZATIONS OF PRIMENESS 44
2.3 CONSTRUCTING CO-PRIME FACTORIZATIONS 45
2.4 PROPERTIES OF CO-PRIME FACTORIZATIONS 47
2.5 FACTORIZATION IDEALS 49
2.6 THE BIVARIATE CASE 52
3. STABILIZABILITY 57
3.1 CO-PRIMENESS OVER RINGS OF FRACTIONS 57
3.2 FEEDBACK STABILIZATION 64
IMAGE 3
X
4. STRICT SYSTEM EQUIVALENCE 69
4.1 SYSTEM EQUIVALENCE 71
4.2 STRICT SYSTEM EQUIVALENCE 73
4.3 SYSTEM ISOMORPHISMS 77
5. FIRST ORDER REPRESENTATIONS OF MULTIDIMENSIONAL SYSTEMS 85 5.1
PRELIMINARIES AND NOTATION 86
5.2 OUTPUT-NULLING REPRESENTATIONS 89
5.3 DRIVING-VARIABLE REPRESENTATIONS 101
6. LINEAR FRACTIONAL TRANSFORMATIONS 105
6.1 LFT CONSTRUCTION 108
6.2 REDUCTION TO TRIM FORM 114
6.2.1 FURTHER TRANSFORMATIONS 118
6.3 BALANCING 121
6.3.1 BALANCED TRUNCATION 125
6.4 LFTS AND ROBUST STABILITY 127
6.4.1 DESCRIPTOR SYSTEMS 133
6.4.2 EXAMPLE 137
7. ELECTRICAL NETWORKS 141
7.1 GRAPH THEORY 141
7.2 WEIGHT FUNCTIONS 142
7.3 KIRCHHOFF S LAWS 143
7.4 LINEAR NETWORKS 145
7.5 LFT REPRESENTATIONS 150
BIBLIOGRAPHY 157
INDEX 163
|
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| discipline | Informatik Mathematik |
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| indexdate | 2024-07-09T18:41:53Z |
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| isbn | 1852333367 9781852333362 |
| language | English |
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| physical | X, 164 S. |
| publishDate | 2000 |
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| publisher | Springer |
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| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences |
| spelling | Zerz, Eva Verfasser aut Topics in multidimensional linear systems theory Eva Zerz London ; Berlin ; Heidelberg ; New York ; Barcelona ; Hong Kong Springer 2000 X, 164 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 256 Controleleer gtt Lineaire systemen gtt Multidimensionale systemen gtt Systeemtheorie gtt systèmes linéaires ram Linear systems Mehrdimensionales System (DE-588)4431187-4 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Lineares System (DE-588)4125617-7 gnd rswk-swf Lineares System (DE-588)4125617-7 s Mehrdimensionales System (DE-588)4431187-4 s Kontrolltheorie (DE-588)4032317-1 s DE-604 Lecture notes in control and information sciences 256 (DE-604)BV005848579 256 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009007111&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zerz, Eva Topics in multidimensional linear systems theory Lecture notes in control and information sciences Controleleer gtt Lineaire systemen gtt Multidimensionale systemen gtt Systeemtheorie gtt systèmes linéaires ram Linear systems Mehrdimensionales System (DE-588)4431187-4 gnd Kontrolltheorie (DE-588)4032317-1 gnd Lineares System (DE-588)4125617-7 gnd |
| subject_GND | (DE-588)4431187-4 (DE-588)4032317-1 (DE-588)4125617-7 |
| title | Topics in multidimensional linear systems theory |
| title_auth | Topics in multidimensional linear systems theory |
| title_exact_search | Topics in multidimensional linear systems theory |
| title_full | Topics in multidimensional linear systems theory Eva Zerz |
| title_fullStr | Topics in multidimensional linear systems theory Eva Zerz |
| title_full_unstemmed | Topics in multidimensional linear systems theory Eva Zerz |
| title_short | Topics in multidimensional linear systems theory |
| title_sort | topics in multidimensional linear systems theory |
| topic | Controleleer gtt Lineaire systemen gtt Multidimensionale systemen gtt Systeemtheorie gtt systèmes linéaires ram Linear systems Mehrdimensionales System (DE-588)4431187-4 gnd Kontrolltheorie (DE-588)4032317-1 gnd Lineares System (DE-588)4125617-7 gnd |
| topic_facet | Controleleer Lineaire systemen Multidimensionale systemen Systeemtheorie systèmes linéaires Linear systems Mehrdimensionales System Kontrolltheorie Lineares System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009007111&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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