On moment theory and controllability of one-dimensional vibrating systems and heating processes:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest
Springer
1992
|
| Series: | Lecture notes in control and information sciences
173 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VII, 174 Seiten |
| ISBN: | 3540551026 0387551026 |
Staff View
MARC
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| 100 | 1 | |a Krabs, Werner |d 1934-2017 |0 (DE-588)120318741 |4 aut | |
| 245 | 1 | 0 | |a On moment theory and controllability of one-dimensional vibrating systems and heating processes |c W. Krabs |
| 264 | 1 | |a Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest |b Springer |c 1992 | |
| 300 | |a VII, 174 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in control and information sciences |v 173 | |
| 650 | 7 | |a Commande automatique |2 ram | |
| 650 | 7 | |a Fabrication - Contrôle |2 ram | |
| 650 | 7 | |a Thermocinétique |2 ram | |
| 650 | 7 | |a Vibrations |2 ram | |
| 650 | 4 | |a amortissement | |
| 650 | 4 | |a commandabilité | |
| 650 | 4 | |a commande linéaire | |
| 650 | 4 | |a processus thermique | |
| 650 | 4 | |a vibration | |
| 650 | 4 | |a Automatic control | |
| 650 | 4 | |a Heat |x Transmission | |
| 650 | 4 | |a Process control | |
| 650 | 4 | |a Vibration | |
| 650 | 0 | 7 | |a Lineare Kontrolltheorie |0 (DE-588)4123657-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Momentenproblem |0 (DE-588)4170422-8 |2 gnd |9 rswk-swf |
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| 650 | 0 | 7 | |a Steuerbarkeit |0 (DE-588)4134713-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Eindimensionale Wärmeleitungsgleichung |0 (DE-588)4151253-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Erwärmung |0 (DE-588)4139077-5 |2 gnd |9 rswk-swf |
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Record in the Search Index
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Contents
0. Introduction: Finite Dimensional Linear Control Systems
and an Outline of Infinite Dimensional Linear Control
Problems 1
0.1. The Problems of Null Controllability and Null Reach¬
ability 1
0.2. On the Solvability of the Finite Moment Problem which
Contains the Problems of Null Controllability and
Null Reachability 3
0.3. On Norm Bounded Null Controllability and Null Reach¬
ability 6
0.4. On Time Minimal Null Controllability and Null Reach¬
ability 11
0.5. An Outline of Infinite Dimensional Linear Control
Problems 17
References 25
1. Optimal Damping of Vibrations 26
1.1. One Dimensional Vibrating Media 26
1.1.1. The Problem of Distributed Control 26
1.1.2. An Elementary Case (Part 1) 33
1.1.3. The Problem of Boundary Control 38
1.1.4. An Elementary Case (Part 2) 42
1.2. On Moment Problems in Hilbert Spaces 50
1.2.1. Problems in General Hilbert Spaces 50
1.2.2. Trigonometric Moment Problems 58
1.2.3. Applications to One Dimensional Vibrations 72
1.2.3.1. Distributed Control 72
1.2.3.2. Boundary Control 73
1.2.3.3. Special Cases 74
1.2.4. Bibliographical Remarks and References 78
1.3. On the Solvability of Linear Operator Equations . 82
1.3.1. Exact Solvability 82
VI
1.3.2. Approximate Solvability 86
1.3.3. Application to Nuclear Operators and Moment Pro¬
blems in Hilbert Spaces 87
1.4. Application to One Dimensional Vibrations 92
1.4.1. Distributed Control 92
1.4.2. Boundary Control 98
1.5. On Time Minimal Control of Linear Systems 100
1.5.1. Existence of Time Minimal Controls 100
1.5.2. A General Maximum Principle for Minimum Norm Con¬
trols 102
1.5.3. Reduction of Time Minimal Controllability to Norm
Minimal Controllability 106
1.5.4. Application to One Dimensional Vibrations 110
1.5.4.1. Distributed Control 110
1.5.4.2. Boundary Control 114
1.6. Bibliographical Remarks and References 115
2. Optimal Control of Heating Processes 117
2.1. Problems in One Space Dimension I17
2.1.1. Distributed Control 117
2.1.2. Boundary Control 121
2.2. On Moment Problems in Banach Spaces I24
2.2.1. Problems in General Banach Spaces 124
2.2.2. Connection with Equations for Nuclear Operators . 128
2.2.3. On Solving Finite Moment Problems 131
2.3. Equations for Nuclear Operators in Banach Spaces . I33
2.3.1. Exact Solvability 133
2.3.2. Approximate Solvability 136
2.4. On Exponential Moment Problems 138
2.4.1. Exponential Sums and Series I38
2.4.2. Solvability 144
2.4.3. On Least Norm Solutions 152
VII
2.4.4. On Time Minimal Solutions 159
2.4.4.1. Reduction to Least Norm Solutions 159
2.4.4.2. A Direct Approach 163
2.5. Bibliographical Remarks and References 165 |
| any_adam_object | 1 |
| author | Krabs, Werner 1934-2017 |
| author_GND | (DE-588)120318741 |
| author_facet | Krabs, Werner 1934-2017 |
| author_role | aut |
| author_sort | Krabs, Werner 1934-2017 |
| author_variant | w k wk |
| building | Verbundindex |
| bvnumber | BV004784843 |
| callnumber-first | Q - Science |
| callnumber-label | QA402 |
| callnumber-raw | QA402 TJ213 |
| callnumber-search | QA402 TJ213 |
| callnumber-sort | QA 3402 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 845 |
| classification_tum | MAT 496f MSR 635f PHY 013f |
| ctrlnum | (OCoLC)246645425 (DE-599)BVBBV004784843 |
| dewey-full | 629.8 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 629 - Other branches of engineering |
| dewey-raw | 629.8 |
| dewey-search | 629.8 |
| dewey-sort | 3629.8 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Physik Mathematik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik Mess-/Steuerungs-/Regelungs-/Automatisierungstechnik / Mechatronik |
| format | Book |
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| id | DE-604.BV004784843 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T07:37:09Z |
| institution | BVB |
| isbn | 3540551026 0387551026 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002945052 |
| oclc_num | 246645425 |
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| physical | VII, 174 Seiten |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in control and information sciences |
| series2 | Lecture notes in control and information sciences |
| spelling | Krabs, Werner 1934-2017 (DE-588)120318741 aut On moment theory and controllability of one-dimensional vibrating systems and heating processes W. Krabs Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo ; Hong Kong ; Barcelona ; Budapest Springer 1992 VII, 174 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in control and information sciences 173 Commande automatique ram Fabrication - Contrôle ram Thermocinétique ram Vibrations ram amortissement commandabilité commande linéaire processus thermique vibration Automatic control Heat Transmission Process control Vibration Lineare Kontrolltheorie (DE-588)4123657-9 gnd rswk-swf Momentenproblem (DE-588)4170422-8 gnd rswk-swf Dimension 1 (DE-588)4323094-5 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Schwingungssystem (DE-588)4180568-9 gnd rswk-swf Steuerbarkeit (DE-588)4134713-4 gnd rswk-swf Eindimensionale Wärmeleitungsgleichung (DE-588)4151253-4 gnd rswk-swf Erwärmung (DE-588)4139077-5 gnd rswk-swf Lineares Regelungssystem (DE-588)4167730-4 gnd rswk-swf Schwingungssystem (DE-588)4180568-9 s Dimension 1 (DE-588)4323094-5 s Momentenproblem (DE-588)4170422-8 s DE-604 Eindimensionale Wärmeleitungsgleichung (DE-588)4151253-4 s Lineare Kontrolltheorie (DE-588)4123657-9 s Lineares Regelungssystem (DE-588)4167730-4 s DE-188 Erwärmung (DE-588)4139077-5 s Partielle Differentialgleichung (DE-588)4044779-0 s Steuerbarkeit (DE-588)4134713-4 s Lecture notes in control and information sciences 173 (DE-604)BV005848579 173 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002945052&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Krabs, Werner 1934-2017 On moment theory and controllability of one-dimensional vibrating systems and heating processes Lecture notes in control and information sciences Commande automatique ram Fabrication - Contrôle ram Thermocinétique ram Vibrations ram amortissement commandabilité commande linéaire processus thermique vibration Automatic control Heat Transmission Process control Vibration Lineare Kontrolltheorie (DE-588)4123657-9 gnd Momentenproblem (DE-588)4170422-8 gnd Dimension 1 (DE-588)4323094-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Schwingungssystem (DE-588)4180568-9 gnd Steuerbarkeit (DE-588)4134713-4 gnd Eindimensionale Wärmeleitungsgleichung (DE-588)4151253-4 gnd Erwärmung (DE-588)4139077-5 gnd Lineares Regelungssystem (DE-588)4167730-4 gnd |
| subject_GND | (DE-588)4123657-9 (DE-588)4170422-8 (DE-588)4323094-5 (DE-588)4044779-0 (DE-588)4180568-9 (DE-588)4134713-4 (DE-588)4151253-4 (DE-588)4139077-5 (DE-588)4167730-4 |
| title | On moment theory and controllability of one-dimensional vibrating systems and heating processes |
| title_auth | On moment theory and controllability of one-dimensional vibrating systems and heating processes |
| title_exact_search | On moment theory and controllability of one-dimensional vibrating systems and heating processes |
| title_full | On moment theory and controllability of one-dimensional vibrating systems and heating processes W. Krabs |
| title_fullStr | On moment theory and controllability of one-dimensional vibrating systems and heating processes W. Krabs |
| title_full_unstemmed | On moment theory and controllability of one-dimensional vibrating systems and heating processes W. Krabs |
| title_short | On moment theory and controllability of one-dimensional vibrating systems and heating processes |
| title_sort | on moment theory and controllability of one dimensional vibrating systems and heating processes |
| topic | Commande automatique ram Fabrication - Contrôle ram Thermocinétique ram Vibrations ram amortissement commandabilité commande linéaire processus thermique vibration Automatic control Heat Transmission Process control Vibration Lineare Kontrolltheorie (DE-588)4123657-9 gnd Momentenproblem (DE-588)4170422-8 gnd Dimension 1 (DE-588)4323094-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Schwingungssystem (DE-588)4180568-9 gnd Steuerbarkeit (DE-588)4134713-4 gnd Eindimensionale Wärmeleitungsgleichung (DE-588)4151253-4 gnd Erwärmung (DE-588)4139077-5 gnd Lineares Regelungssystem (DE-588)4167730-4 gnd |
| topic_facet | Commande automatique Fabrication - Contrôle Thermocinétique Vibrations amortissement commandabilité commande linéaire processus thermique vibration Automatic control Heat Transmission Process control Vibration Lineare Kontrolltheorie Momentenproblem Dimension 1 Partielle Differentialgleichung Schwingungssystem Steuerbarkeit Eindimensionale Wärmeleitungsgleichung Erwärmung Lineares Regelungssystem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002945052&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005848579 |
| work_keys_str_mv | AT krabswerner onmomenttheoryandcontrollabilityofonedimensionalvibratingsystemsandheatingprocesses |