Linear systems over commutative rings:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
Dekker
1986
|
| Series: | Lecture notes in pure and applied mathematics
104 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 199 S. |
| ISBN: | 0824775597 |
Staff View
MARC
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| 245 | 1 | 0 | |a Linear systems over commutative rings |c James W. Brewer ; John W. Bunce ; F. S. Van Vleck |
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Record in the Search Index
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| adam_text | Contents
PREFACE iii
0 INTRODUCTION 1
1 ALGEBRAIC PRELIMINARIES 14
1.1 The Cayley Hamilton Theorem 14
1.2 Noetherian Rings and Noetherian Modules 16
1.3 Integral Dependence and Integral Closure 22
1.4 Bezout Domains 29
1.5 Localization 35
1.6 Projective Modules and Invertible Ideals 36
1.7 Dedekind Domains 40
2 REACHABILITY AND OBSERVABILITY 48
2.1 Reachability 51
2.2 Observability 58
3 POLE ASSIGNABILITY AND STABILIZABILITY 66
3.1 The Single Input Case and Feedback
Cyclization 69
3.2 Projective Modules, Bezout Domains, and
the Pole Assignability Property 80
3.3 Counterexamples to Pole Assignability 100
3.4 Dynamic Stabilization 107
3.5 Parametric Stabilization 122
3.6 State Estimability 130
vii
viii Contents
4 REALIZATION THEORY 140
4.1 Hankel Matrices, Recurrence, and the
Basic Realization Theory 141
4.2 Hankel Matrices Over Fields and Silver man s
Formulas 148
4.3 Rationality and Descending Realizability
from the Quotient Field 162
4.4 Canonical Systems and Canonical Realizations 176
REFERENCES 191
INDEX 197
|
| any_adam_object | 1 |
| author | Brewer, James W. Bunce, John W. Van Vleck, Fred S. |
| author_facet | Brewer, James W. Bunce, John W. Van Vleck, Fred S. |
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| ctrlnum | (OCoLC)246782957 (DE-599)BVBBV000561815 |
| discipline | Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik |
| format | Book |
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| indexdate | 2024-07-09T15:15:42Z |
| institution | BVB |
| isbn | 0824775597 |
| language | English |
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| physical | VIII, 199 S. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Dekker |
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| series | Lecture notes in pure and applied mathematics |
| series2 | Lecture notes in pure and applied mathematics |
| spelling | Brewer, James W. Verfasser aut Linear systems over commutative rings James W. Brewer ; John W. Bunce ; F. S. Van Vleck New York Dekker 1986 VIII, 199 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in pure and applied mathematics 104 Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Lineares dynamisches System (DE-588)4167727-4 gnd rswk-swf Kommutativer Ring (DE-588)4164825-0 gnd rswk-swf Lineares System (DE-588)4125617-7 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 s Kommutativer Ring (DE-588)4164825-0 s DE-604 Lineares dynamisches System (DE-588)4167727-4 s Lineares System (DE-588)4125617-7 s Bunce, John W. Verfasser aut Van Vleck, Fred S. Verfasser aut Lecture notes in pure and applied mathematics 104 (DE-604)BV005871364 104 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000346140&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brewer, James W. Bunce, John W. Van Vleck, Fred S. Linear systems over commutative rings Lecture notes in pure and applied mathematics Lineare Algebra (DE-588)4035811-2 gnd Lineares dynamisches System (DE-588)4167727-4 gnd Kommutativer Ring (DE-588)4164825-0 gnd Lineares System (DE-588)4125617-7 gnd |
| subject_GND | (DE-588)4035811-2 (DE-588)4167727-4 (DE-588)4164825-0 (DE-588)4125617-7 |
| title | Linear systems over commutative rings |
| title_auth | Linear systems over commutative rings |
| title_exact_search | Linear systems over commutative rings |
| title_full | Linear systems over commutative rings James W. Brewer ; John W. Bunce ; F. S. Van Vleck |
| title_fullStr | Linear systems over commutative rings James W. Brewer ; John W. Bunce ; F. S. Van Vleck |
| title_full_unstemmed | Linear systems over commutative rings James W. Brewer ; John W. Bunce ; F. S. Van Vleck |
| title_short | Linear systems over commutative rings |
| title_sort | linear systems over commutative rings |
| topic | Lineare Algebra (DE-588)4035811-2 gnd Lineares dynamisches System (DE-588)4167727-4 gnd Kommutativer Ring (DE-588)4164825-0 gnd Lineares System (DE-588)4125617-7 gnd |
| topic_facet | Lineare Algebra Lineares dynamisches System Kommutativer Ring Lineares System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000346140&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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