Linear delay differential systems with commensurate delays: an algebraic approach
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2002
|
| Series: | Lecture notes in mathematics
1770 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 176 S. |
| ISBN: | 3540428216 |
Staff View
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| 100 | 1 | |a Glüsing-Lüerßen, Heide |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Linear delay differential systems with commensurate delays |b an algebraic approach |c Heide Gluesing-Luerssen |
| 246 | 1 | 3 | |a Linear delay-differential systems with commensurate delays |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2002 | |
| 300 | |a VI, 176 S. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1770 | |
| 650 | 7 | |a Differentiaalvergelijkingen |2 gtt | |
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| 650 | 4 | |a Systèmes linéaires | |
| 650 | 4 | |a Équations différentielles à retard | |
| 650 | 4 | |a Delay differential equations | |
| 650 | 4 | |a Linear systems | |
| 650 | 0 | 7 | |a Differentialgleichung mit nacheilendem Argument |0 (DE-588)4199298-2 |2 gnd |9 rswk-swf |
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Record in the Search Index
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|---|---|
| adam_text | Table of Contents
1 Introduction 1
2 The Algebraic Framework 7
3 The Algebraic Structure of Hq 23
3.1 Divisibility Properties 25
3.2 Matrices over Ho 35
3.3 Systems over Rings: A Brief Survey 43
3.4 The Nonfinitely Generated Ideals of Ho 45
3.5 The Ring H as a Convolution Algebra 51
3.6 Computing the Bezout Identity 59
4 Behaviors of Delay Differential Systems 73
4.1 The Lattice of Behaviors 76
4.2 Input/Output Systems 89
4.3 Transfer Classes and Controllable Systems 95
4.4 Subbehaviors and Interconnections 104
4.5 Assigning the Characteristic Function 115
4.6 Biduals of Nonfinitely Generated Ideals 129
5 First Order Representations 135
5.1 Multi Operator Systems 138
5.2 The Realization Procedure of Fuhrmann 148
5.3 First Order Realizations 157
5.4 Some Minimality Issues 162
References 169
Index 175
|
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| indexdate | 2024-07-09T18:56:32Z |
| institution | BVB |
| isbn | 3540428216 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009612496 |
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| physical | VI, 176 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Glüsing-Lüerßen, Heide Verfasser aut Linear delay differential systems with commensurate delays an algebraic approach Heide Gluesing-Luerssen Linear delay-differential systems with commensurate delays Berlin [u.a.] Springer 2002 VI, 176 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1770 Differentiaalvergelijkingen gtt Systeemtheorie gtt Systèmes linéaires Équations différentielles à retard Delay differential equations Linear systems Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd rswk-swf Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 s DE-604 Lecture notes in mathematics 1770 (DE-604)BV000676446 1770 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009612496&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Glüsing-Lüerßen, Heide Linear delay differential systems with commensurate delays an algebraic approach Lecture notes in mathematics Differentiaalvergelijkingen gtt Systeemtheorie gtt Systèmes linéaires Équations différentielles à retard Delay differential equations Linear systems Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd |
| subject_GND | (DE-588)4199298-2 |
| title | Linear delay differential systems with commensurate delays an algebraic approach |
| title_alt | Linear delay-differential systems with commensurate delays |
| title_auth | Linear delay differential systems with commensurate delays an algebraic approach |
| title_exact_search | Linear delay differential systems with commensurate delays an algebraic approach |
| title_full | Linear delay differential systems with commensurate delays an algebraic approach Heide Gluesing-Luerssen |
| title_fullStr | Linear delay differential systems with commensurate delays an algebraic approach Heide Gluesing-Luerssen |
| title_full_unstemmed | Linear delay differential systems with commensurate delays an algebraic approach Heide Gluesing-Luerssen |
| title_short | Linear delay differential systems with commensurate delays |
| title_sort | linear delay differential systems with commensurate delays an algebraic approach |
| title_sub | an algebraic approach |
| topic | Differentiaalvergelijkingen gtt Systeemtheorie gtt Systèmes linéaires Équations différentielles à retard Delay differential equations Linear systems Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd |
| topic_facet | Differentiaalvergelijkingen Systeemtheorie Systèmes linéaires Équations différentielles à retard Delay differential equations Linear systems Differentialgleichung mit nacheilendem Argument |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009612496&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
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