Elementary feedback stabilization of the linear reaction-convection-diffusion equation and the wave equation:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2010
|
| Schriftenreihe: | Mathématiques et applications
66 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | X, 294 Seiten graph. Darst. |
| ISBN: | 9783642046124 |
Internformat
MARC
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| 245 | 1 | 0 | |a Elementary feedback stabilization of the linear reaction-convection-diffusion equation and the wave equation |c Weijiu Liu |
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Datensatz im Suchindex
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| adam_text | CONTENTS EXAMPLES OF CONTROL SYSTEMS 1 1.1 CONTROL OF A MASS-SPRING
SYSTEM 1 1.2 TEMPERATURE CONTROL OF A ROD IN A CHEMICAL REACTOR 3 1.3
CONTROL OF STRING VIBRATION 6 ELEMENTARY FUNCTIONAL ANALYSIS 9 2.1
BANACH SPACES AND HUBERT SPACES 9 2.2 OPEN AND CLOSED SETS 15 2.3 LINEAR
OPERATORS 17 2.4 SOBOLEV SPACES 19 2.5 EIGENVALUE PROBLEMS 21 2.6
SEMIGROUPS 29 2.6.1 DEFINITIONS AND PROPERTIES 30 2.6.2 FORMULAS FOR
SEMIGROUP REPRESENTATION 32 2.6.3 TESTS FOR SEMIGROUP GENERATION 34
2.6.4 SEMIGROUP GROWTH BOUND 38 2.7 ABSTRACT CAUCHY PROBLEMS 44 2.8
REFERENCES AND NOTES 48 FINITE DIMENSIONAL SYSTEMS 49 3.1 GENERAL FORMS
OF CONTROL SYSTEMS 49 3.2 STABILITY 51 3.3 CONTROLLABILITY AND
OBSERVABILITY 57 3.4 STATE FEEDBACK CONTROL 67 3.5 PID CONTROLLERS 75
3.6 INTEGRAL STATE FEEDBACK CONTROL 78 3.7 OUTPUT FEEDBACK CONTROL 83
3.7.1 OBSERVER-BASED OUTPUT FEEDBACK CONTROL 83 3.7.2 INTEGRAL OUTPUT
FEEDBACK CONTROL 86 3.8 OPTIMAL CONTROL ON FINITE-TIME INTERVALS 90
3.8.1 EXISTENCE AND UNIQUENESS 91 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/996247580 DIGITALISIERT DURCH X CONTENTS 3.8.2
OPTIMALITY SYSTEM 95 3.9 OPTIMAL STATE FEEDBACK CONTROLLERS 100 3.10
ASYMPTOTIC TRACKING AND DISTURBANCE REJECTION ILL 3.11 REFERENCES AND
NOTES 117 4 LINEAR REACTION-CONVECTION-DIFFUSION EQUATION 119 4.1
STABILITY 120 4.2 INTERIOR FEEDBACK STABILIZATION 129 4.2.1 STATE
FEEDBACK CONTROLS 131 4.2.2 OUTPUT FEEDBACK CONTROLS 139 4.3 BOUNDARY
FEEDBACK STABILIZATION 145 4.3.1 STATE FEEDBACK CONTROLS 145 4.3.2
OUTPUT FEEDBACK CONTROLS 163 4.4 OPTIMAL INTERIOR CONTROL 173 4.4.1
EXISTENCE AND UNIQUENESS 174 4.4.2 NECESSARY CONDITIONS 177 4.4.3
OPTIMALITY SYSTEMS 179 4.4.4 OPTIMAL INTERIOR STATE FEEDBACK CONTROLS
183 4.5 OPTIMAL BOUNDARY CONTROL 193 4.5.1 NECESSARY CONDITIONS 194
4.5.2 OPTIMALITY SYSTEMS 195 4.5.3 EXISTENCE AND UNIQUENESS 202 4.5.4
OPTIMAL BOUNDARY STATE FEEDBACK CONTROLS 205 4.6 GENERALIZATION TO
ABSTRACT DYNAMICAL SYSTEMS 212 4.7 REFERENCES AND NOTES 214 5
ONE-DIMENSIONAL WAVE EQUATION 215 5.1 STABILITY 215 5.2 LINEAR INTERIOR
FEEDBACK STABILIZATION 218 5.3 LINEAR BOUNDARY FEEDBACK STABILIZATION
225 5.4 REFERENCES AND NOTES 231 6 HIGHER-DIMENSIONAL WAVE EQUATION 233
6.1 STABILITY 233 6.2 LINEAR BOUNDARY FEEDBACK STABILIZATION 235 6.3
NONLINEAR BOUNDARY FEEDBACK STABILIZATION 242 6.
|
| any_adam_object | 1 |
| author | Liu, Weijiu |
| author_GND | (DE-588)140272305 |
| author_facet | Liu, Weijiu |
| author_role | aut |
| author_sort | Liu, Weijiu |
| author_variant | w l wl |
| building | Verbundindex |
| bvnumber | BV025594714 |
| classification_rvk | SK 520 SK 540 SK 880 |
| ctrlnum | (OCoLC)530304137 (DE-599)BVBBV025594714 |
| dewey-full | 515.642 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.642 |
| dewey-search | 515.642 |
| dewey-sort | 3515.642 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV025594714 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:37:09Z |
| institution | BVB |
| isbn | 9783642046124 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020190803 |
| oclc_num | 530304137 |
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| owner_facet | DE-11 DE-83 DE-384 DE-824 DE-188 |
| physical | X, 294 Seiten graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer |
| record_format | marc |
| series | Mathématiques et applications |
| series2 | Mathématiques & applications |
| spelling | Liu, Weijiu Verfasser (DE-588)140272305 aut Elementary feedback stabilization of the linear reaction-convection-diffusion equation and the wave equation Weijiu Liu Berlin [u.a.] Springer 2010 X, 294 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathématiques & applications 66 Literaturangaben Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Konvektions-Diffusionsgleichung (DE-588)4479539-7 gnd rswk-swf Wellengleichung (DE-588)4065315-8 gnd rswk-swf Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd rswk-swf Reaktions-Diffusionsgleichung (DE-588)4323967-5 s Konvektions-Diffusionsgleichung (DE-588)4479539-7 s Wellengleichung (DE-588)4065315-8 s Kontrolltheorie (DE-588)4032317-1 s DE-604 Erscheint auch als Online-Ausgabe 978-3-642-04613-1 Mathématiques et applications 66 (DE-604)BV006642035 66 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020190803&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Liu, Weijiu Elementary feedback stabilization of the linear reaction-convection-diffusion equation and the wave equation Mathématiques et applications Kontrolltheorie (DE-588)4032317-1 gnd Konvektions-Diffusionsgleichung (DE-588)4479539-7 gnd Wellengleichung (DE-588)4065315-8 gnd Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd |
| subject_GND | (DE-588)4032317-1 (DE-588)4479539-7 (DE-588)4065315-8 (DE-588)4323967-5 |
| title | Elementary feedback stabilization of the linear reaction-convection-diffusion equation and the wave equation |
| title_auth | Elementary feedback stabilization of the linear reaction-convection-diffusion equation and the wave equation |
| title_exact_search | Elementary feedback stabilization of the linear reaction-convection-diffusion equation and the wave equation |
| title_full | Elementary feedback stabilization of the linear reaction-convection-diffusion equation and the wave equation Weijiu Liu |
| title_fullStr | Elementary feedback stabilization of the linear reaction-convection-diffusion equation and the wave equation Weijiu Liu |
| title_full_unstemmed | Elementary feedback stabilization of the linear reaction-convection-diffusion equation and the wave equation Weijiu Liu |
| title_short | Elementary feedback stabilization of the linear reaction-convection-diffusion equation and the wave equation |
| title_sort | elementary feedback stabilization of the linear reaction convection diffusion equation and the wave equation |
| topic | Kontrolltheorie (DE-588)4032317-1 gnd Konvektions-Diffusionsgleichung (DE-588)4479539-7 gnd Wellengleichung (DE-588)4065315-8 gnd Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd |
| topic_facet | Kontrolltheorie Konvektions-Diffusionsgleichung Wellengleichung Reaktions-Diffusionsgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020190803&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV006642035 |
| work_keys_str_mv | AT liuweijiu elementaryfeedbackstabilizationofthelinearreactionconvectiondiffusionequationandthewaveequation |