Time varying discrete linear systems: input-output operators ; Riccati equations ; disturbance attenuation
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Basel u.a.
Birkhäuser
1994
|
| Series: | Operator theory
68 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 221 - 224 |
| Physical Description: | 228 S. |
| ISBN: | 3764350121 0817650121 |
Staff View
MARC
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| 245 | 1 | 0 | |a Time varying discrete linear systems |b input-output operators ; Riccati equations ; disturbance attenuation |c Aristide Halanay ; Vlad Ionescu |
| 246 | 1 | 3 | |a Time-varying discrete linear systems |
| 264 | 1 | |a Basel u.a. |b Birkhäuser |c 1994 | |
| 300 | |a 228 S. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Operator theory |v 68 | |
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| 650 | 7 | |a opérateur entrée-sortie |2 inriac | |
| 650 | 7 | |a système linéaire discret |2 inriac | |
| 650 | 7 | |a système temps discret |2 inriac | |
| 650 | 7 | |a équation Riccati |2 inriac | |
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Record in the Search Index
| _version_ | 1804123242946887680 |
|---|---|
| adam_text | Table of Contents
Chapter 0. General motivation 1
Chapter 1. Evolutions and related basic notions 13
1. Evolution operators 13
2. Forced evolution (affine systems) 16
3. Exponentially stable and dichotomic evolutions 19
4. / forced evolutions 26
5. Liapunov equations 30
6. Uniform controllability. Stabilizability. Uniform observability. Detectability . . 33
7. Further results concerning exponential stability 41
Notes and References 43
Chapter 2. Nodes 45
1. Linear systems. Input output operators 45
2. Nodes. Basic operations 49
3. Hankel and Toeplitz operators. The structured stability radius 55
4. Hankel singular values 58
5. All pass and contracting nodes 60
6. Nehari Problem 66
Notes and References 70
Chapter 3. Riccati equations and nodes 71
1. Popov triplets 71
2. A Popov Yakubovich type result 78
3. Positivity. Factorizations. Contracting nodes 96
4. Stabilizing compensators. Small Gain Theorem 108
5. ^ Optimization 115
6. Reverse time Riccati equation and contracting nodes 123
7. Extended Nehari problem 138
Notes and References 143
Chapter 4. Disturbance Attenuation 145
1. Problem formulation and basic assumptions 145
2. Statement of necessary solvability conditions: the Kalman Szego Popov
Yakubovich systems 147
3. The standard Kalman Szego Popov Yakubovich system 151
4. A game theoretic Popov Yakubovich type result 154
5. Disturbance attenuation. Proof of Theorem 2.2 161
6. A modified system. Proof of Theorem 2.3 165
7. Another modified system 173
8. The y attenuator 178
Notes and References 185
Appendix A. Discrete time stochastic control 187
1. Discrete time Riccati equation of stochastic control 187
2. Optimal compensator under independent random disturbances 196
Notes and References 204
Appendix B. Almost periodic discrete time systems 205
1. Standard theory of almost periodic sequences 205
2. A new Bochner theory for almost periodic sequences 209
3. Almost periodic evolution 210
4. Evolutions under Besicovitch sequences 214
Notes and References 219
References 221
Index 225
|
| any_adam_object | 1 |
| author | Halanay, Aristide 1924-1997 Ionescu, Vlad |
| author_GND | (DE-588)113733003 |
| author_facet | Halanay, Aristide 1924-1997 Ionescu, Vlad |
| author_role | aut aut |
| author_sort | Halanay, Aristide 1924-1997 |
| author_variant | a h ah v i vi |
| building | Verbundindex |
| bvnumber | BV008885497 |
| callnumber-first | Q - Science |
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| ctrlnum | (OCoLC)29671068 (DE-599)BVBBV008885497 |
| dewey-full | 003/.83 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 003 - Systems |
| dewey-raw | 003/.83 |
| dewey-search | 003/.83 |
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| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik |
| format | Book |
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| id | DE-604.BV008885497 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:26:40Z |
| institution | BVB |
| isbn | 3764350121 0817650121 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005878294 |
| oclc_num | 29671068 |
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| physical | 228 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Operator theory |
| series2 | Operator theory |
| spelling | Halanay, Aristide 1924-1997 Verfasser (DE-588)113733003 aut Time varying discrete linear systems input-output operators ; Riccati equations ; disturbance attenuation Aristide Halanay ; Vlad Ionescu Time-varying discrete linear systems Basel u.a. Birkhäuser 1994 228 S. txt rdacontent n rdamedia nc rdacarrier Operator theory 68 Literaturverz. S. 221 - 224 Systèmes échantillonnés ram Vergelijking van Riccati gtt atténuation perturbation inriac commande temps discret inriac opérateur entrée-sortie inriac système linéaire discret inriac système temps discret inriac équation Riccati inriac Discrete-time systems Zeitvariantes zeitdiskretes System (DE-588)4190656-1 gnd rswk-swf Zeitvariantes System (DE-588)4190654-8 gnd rswk-swf Riccati-Differentialgleichung (DE-588)4230752-1 gnd rswk-swf Lineares System (DE-588)4125617-7 gnd rswk-swf Zeitvariantes zeitdiskretes System (DE-588)4190656-1 s Lineares System (DE-588)4125617-7 s DE-604 Zeitvariantes System (DE-588)4190654-8 s 1\p DE-604 Riccati-Differentialgleichung (DE-588)4230752-1 s 2\p DE-604 Ionescu, Vlad Verfasser aut Operator theory 68 (DE-604)BV000000970 68 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005878294&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Halanay, Aristide 1924-1997 Ionescu, Vlad Time varying discrete linear systems input-output operators ; Riccati equations ; disturbance attenuation Operator theory Systèmes échantillonnés ram Vergelijking van Riccati gtt atténuation perturbation inriac commande temps discret inriac opérateur entrée-sortie inriac système linéaire discret inriac système temps discret inriac équation Riccati inriac Discrete-time systems Zeitvariantes zeitdiskretes System (DE-588)4190656-1 gnd Zeitvariantes System (DE-588)4190654-8 gnd Riccati-Differentialgleichung (DE-588)4230752-1 gnd Lineares System (DE-588)4125617-7 gnd |
| subject_GND | (DE-588)4190656-1 (DE-588)4190654-8 (DE-588)4230752-1 (DE-588)4125617-7 |
| title | Time varying discrete linear systems input-output operators ; Riccati equations ; disturbance attenuation |
| title_alt | Time-varying discrete linear systems |
| title_auth | Time varying discrete linear systems input-output operators ; Riccati equations ; disturbance attenuation |
| title_exact_search | Time varying discrete linear systems input-output operators ; Riccati equations ; disturbance attenuation |
| title_full | Time varying discrete linear systems input-output operators ; Riccati equations ; disturbance attenuation Aristide Halanay ; Vlad Ionescu |
| title_fullStr | Time varying discrete linear systems input-output operators ; Riccati equations ; disturbance attenuation Aristide Halanay ; Vlad Ionescu |
| title_full_unstemmed | Time varying discrete linear systems input-output operators ; Riccati equations ; disturbance attenuation Aristide Halanay ; Vlad Ionescu |
| title_short | Time varying discrete linear systems |
| title_sort | time varying discrete linear systems input output operators riccati equations disturbance attenuation |
| title_sub | input-output operators ; Riccati equations ; disturbance attenuation |
| topic | Systèmes échantillonnés ram Vergelijking van Riccati gtt atténuation perturbation inriac commande temps discret inriac opérateur entrée-sortie inriac système linéaire discret inriac système temps discret inriac équation Riccati inriac Discrete-time systems Zeitvariantes zeitdiskretes System (DE-588)4190656-1 gnd Zeitvariantes System (DE-588)4190654-8 gnd Riccati-Differentialgleichung (DE-588)4230752-1 gnd Lineares System (DE-588)4125617-7 gnd |
| topic_facet | Systèmes échantillonnés Vergelijking van Riccati atténuation perturbation commande temps discret opérateur entrée-sortie système linéaire discret système temps discret équation Riccati Discrete-time systems Zeitvariantes zeitdiskretes System Zeitvariantes System Riccati-Differentialgleichung Lineares System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005878294&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000970 |
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