Analysis and control of nonlinear infinite dimensional systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston u.a.
Acad. Press
1993
|
| Series: | Mathematics in science and engineering
190 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 476 S. graph. Darst. |
| ISBN: | 012078145X |
Staff View
MARC
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| 100 | 1 | |a Barbu, Viorel |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Analysis and control of nonlinear infinite dimensional systems |c Viorel Barbu |
| 264 | 1 | |a Boston u.a. |b Acad. Press |c 1993 | |
| 300 | |a X, 476 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematics in science and engineering |v 190 | |
| 650 | 4 | |a Commande optimale | |
| 650 | 7 | |a Commande, théorie de la |2 ram | |
| 650 | 7 | |a Controleleer |2 gtt | |
| 650 | 4 | |a Inégalité variationnelle | |
| 650 | 7 | |a Operatoren |2 gtt | |
| 650 | 7 | |a Optimaliseren |2 gtt | |
| 650 | 7 | |a Optimisation mathématique |2 ram | |
| 650 | 4 | |a Opérateur accrétif | |
| 650 | 4 | |a Opérateur monotone | |
| 650 | 7 | |a Opérateurs non-linéaires |2 ram | |
| 650 | 4 | |a Système non linéaire infini | |
| 650 | 4 | |a Control theory | |
| 650 | 4 | |a Mathematical optimization | |
| 650 | 4 | |a Nonlinear operators | |
| 650 | 0 | 7 | |a Unendlichdimensionales System |0 (DE-588)4207956-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kontrolltheorie |0 (DE-588)4032317-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Unendlichdimensionales System |0 (DE-588)4207956-1 |D s |
| 689 | 0 | 1 | |a Kontrolltheorie |0 (DE-588)4032317-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Unendlichdimensionales System |0 (DE-588)4207956-1 |D s |
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Record in the Search Index
| _version_ | 1804121895910506496 |
|---|---|
| adam_text | Contents
Preface vii
Notation and Symbols ix
Chapter 1 Preliminaries 1
1.1 The Duality Mapping 1
1.2 Compact Mappings in Banach Spaces 5
1.3 Absolutely Continuous Functions with Values
in Banach Spaces 9
1.4 Linear Differential Equations in Banach Spaces 17
Chapter 2 Nonlinear Operators of Monotone Type 35
2.1 Maximal Monotone Operators 35
2.2 Generalized Gradients (Subpotential Operators) 57
2.3 Accretive Operators in Banach Spaces 99
Bibliographical Notes and Remarks 123
Chapter 3 Controlled Elliptic Variational Inequalities 125
3.1 Elliptic Variational Inequalities. Existence Theory 125
3.2 Optimal Control of Elliptic Variational Inequalities 148
Bibliographical Notes and Remarks 196
Chapter 4 Nonlinear Accretive Differential Equations 199
4.1 The Basic Existence Results 199
4.2 Approximation and Convergence of Nonlinear
Evolutions and Semigroups 240
4.3 Applications to Partial Differential Equations 255
Bibliographical Notes and Remarks 311
Chapter 5 Optimal Control of Parabolic Variational Inequalities 315
5.1 Distributed Optimal Control Problems 315
5.2 Boundary Control of Parabolic
Variational Inequalities 342
5.3 The Time Optimal Control Problem 364
v
vi Contents
5.4 Approximating Optimal Control Problems via the
Fractional Steps Method 389
Bibliographical Notes and Remarks 404
Chapter 6 Optimal Control in Real Time 407
6.1 Optimal Feedback Controllers 407
6.2 A Semigroup Approach to the Dynamic
Programming Equation 433
Bibliographical Notes and Remarks 456
References 459
Subject Index 475
|
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| id | DE-604.BV007586773 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:05:15Z |
| institution | BVB |
| isbn | 012078145X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004955489 |
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| physical | X, 476 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Acad. Press |
| record_format | marc |
| series | Mathematics in science and engineering |
| series2 | Mathematics in science and engineering |
| spelling | Barbu, Viorel Verfasser aut Analysis and control of nonlinear infinite dimensional systems Viorel Barbu Boston u.a. Acad. Press 1993 X, 476 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematics in science and engineering 190 Commande optimale Commande, théorie de la ram Controleleer gtt Inégalité variationnelle Operatoren gtt Optimaliseren gtt Optimisation mathématique ram Opérateur accrétif Opérateur monotone Opérateurs non-linéaires ram Système non linéaire infini Control theory Mathematical optimization Nonlinear operators Unendlichdimensionales System (DE-588)4207956-1 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Unendlichdimensionales System (DE-588)4207956-1 s Kontrolltheorie (DE-588)4032317-1 s DE-604 Mathematics in science and engineering 190 (DE-604)BV000001196 190 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004955489&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Barbu, Viorel Analysis and control of nonlinear infinite dimensional systems Mathematics in science and engineering Commande optimale Commande, théorie de la ram Controleleer gtt Inégalité variationnelle Operatoren gtt Optimaliseren gtt Optimisation mathématique ram Opérateur accrétif Opérateur monotone Opérateurs non-linéaires ram Système non linéaire infini Control theory Mathematical optimization Nonlinear operators Unendlichdimensionales System (DE-588)4207956-1 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4207956-1 (DE-588)4032317-1 |
| title | Analysis and control of nonlinear infinite dimensional systems |
| title_auth | Analysis and control of nonlinear infinite dimensional systems |
| title_exact_search | Analysis and control of nonlinear infinite dimensional systems |
| title_full | Analysis and control of nonlinear infinite dimensional systems Viorel Barbu |
| title_fullStr | Analysis and control of nonlinear infinite dimensional systems Viorel Barbu |
| title_full_unstemmed | Analysis and control of nonlinear infinite dimensional systems Viorel Barbu |
| title_short | Analysis and control of nonlinear infinite dimensional systems |
| title_sort | analysis and control of nonlinear infinite dimensional systems |
| topic | Commande optimale Commande, théorie de la ram Controleleer gtt Inégalité variationnelle Operatoren gtt Optimaliseren gtt Optimisation mathématique ram Opérateur accrétif Opérateur monotone Opérateurs non-linéaires ram Système non linéaire infini Control theory Mathematical optimization Nonlinear operators Unendlichdimensionales System (DE-588)4207956-1 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Commande optimale Commande, théorie de la Controleleer Inégalité variationnelle Operatoren Optimaliseren Optimisation mathématique Opérateur accrétif Opérateur monotone Opérateurs non-linéaires Système non linéaire infini Control theory Mathematical optimization Nonlinear operators Unendlichdimensionales System Kontrolltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004955489&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001196 |
| work_keys_str_mv | AT barbuviorel analysisandcontrolofnonlinearinfinitedimensionalsystems |