Optimal control via nonsmooth analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1993
|
| Schriftenreihe: | Centre de Recherches Mathématiques <Montréal>: CRM proceedings & lecture notes
2 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 153 S. graph. Darst. |
| ISBN: | 0821869965 |
Internformat
MARC
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| 245 | 1 | 0 | |a Optimal control via nonsmooth analysis |c Philip D. Loewen |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1993 | |
| 300 | |a IX, 153 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804122765632995328 |
|---|---|
| adam_text | Contents
Preface ix
Chapter 1. Motivation 1
A. The Calculus of Variations 2
B. Optimal Control 12
C. Nonsmooth Analysis 25
D. Recommended Reading 28
E. Exercises 29
References 31
Chapter 2. Existence of Solutions 33
A. Review of Measure Theory 34
B. Measurable Multifunctions and Selections 34
C. Differential Inclusions 38
D. The Set of Trajectories 42
E. Existence of Solutions 49
F. Relaxation 56
G. Exercises 57
References 60
Chapter 3. Variational Principles 61
A. Introduction 61
B. The Smooth Variational Principle of Borwein and Preiss 63
C. Applications 65
D. Exercises 70
References 72
Chapter 4. The Geometry of Nonsmooth Analysis 73
A. Proximal Normals and Subgradients 74
B. The Weak Topology 78
C. Limiting Normals and Subgradients 80
D. Duality 86
E. Exercises 91
References 94
Chapter 5. Subgradient Calculus 95
A. The Main Results 95
B. Suggested Reading 106
C. Exercises 106
References 107
vii
viii CONTENTS
Chapter 6. Necessary Conditions in Dynamic Optimi¬
zation 109
A. The Generalized Problem of Bolza 109
B. The Lipschitz Problem of Bolza 111
C. The Free Endpoint Differential Inclusion Problem 113
D. Endpoint Constraints 120
E. The Pontryagin Maximum Principle 129
F. A Bolza Problem 131
G. Exercises 134
References 137
Chapter 7. Dynamic Programming 139
A. The Principle of Optimality 139
B. The Verification Theorem 141
C. Feedback Optimal Control 145
D. Differential Characterization of the Value Function 147
E. Exercises 151
References 153
|
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| isbn | 0821869965 |
| language | English |
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| physical | IX, 153 S. graph. Darst. |
| publishDate | 1993 |
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| series | Centre de Recherches Mathématiques <Montréal>: CRM proceedings & lecture notes |
| series2 | Centre de Recherches Mathématiques <Montréal>: CRM proceedings & lecture notes |
| spelling | Loewen, Philip D. Verfasser aut Optimal control via nonsmooth analysis Philip D. Loewen Providence, RI American Math. Soc. 1993 IX, 153 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Centre de Recherches Mathématiques <Montréal>: CRM proceedings & lecture notes 2 Optimización matemática - Congresos, conferencias, etc Teoria del control - Congresos, conferencias, etc Nichtglatte Optimierung (DE-588)4120798-1 gnd rswk-swf Nichtglatte Optimierung (DE-588)4120798-1 s DE-604 Centre de Recherches Mathématiques <Montréal>: CRM proceedings & lecture notes 2 (DE-604)BV008398017 2 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005532452&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Loewen, Philip D. Optimal control via nonsmooth analysis Centre de Recherches Mathématiques <Montréal>: CRM proceedings & lecture notes Optimización matemática - Congresos, conferencias, etc Teoria del control - Congresos, conferencias, etc Nichtglatte Optimierung (DE-588)4120798-1 gnd |
| subject_GND | (DE-588)4120798-1 |
| title | Optimal control via nonsmooth analysis |
| title_auth | Optimal control via nonsmooth analysis |
| title_exact_search | Optimal control via nonsmooth analysis |
| title_full | Optimal control via nonsmooth analysis Philip D. Loewen |
| title_fullStr | Optimal control via nonsmooth analysis Philip D. Loewen |
| title_full_unstemmed | Optimal control via nonsmooth analysis Philip D. Loewen |
| title_short | Optimal control via nonsmooth analysis |
| title_sort | optimal control via nonsmooth analysis |
| topic | Optimización matemática - Congresos, conferencias, etc Teoria del control - Congresos, conferencias, etc Nichtglatte Optimierung (DE-588)4120798-1 gnd |
| topic_facet | Optimización matemática - Congresos, conferencias, etc Teoria del control - Congresos, conferencias, etc Nichtglatte Optimierung |
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