Bifurcation of extremals in optimal control:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin, [u.a.]
Springer
[1986]
|
| Series: | Lecture notes in mathematics
1216 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 106 Seiten |
| ISBN: | 3540168184 0387168184 |
Staff View
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| 264 | 4 | |c © 1986 | |
| 300 | |a VIII, 106 Seiten | ||
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Record in the Search Index
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Contents
Page
Chapter 1. Overview 1
1.1 The problem 1
1.2 Background from the calculus of variations 2
1.3 Conjugate points in control theory 4
1.4 The linear control equation 8
1.5 The nonlinear system 14
1.6 Control systems with multidimensional performance index 20
1.7 Optimal control problems with constraints 25
1.8 Branching pairs 28
1.9 Summary 34
1.10 Examples 34
Chapter 2. Branching points in linear control problems 40
2.1 Foreword 40
2.2 Look at the solution of the Hamiltonian system 41
2.3 Branching of extremals ' 42
2.4 Special case: linear quadratic problem 44
2.5 Left branching 47
Chapter 3. Branching pairs in linear control problems 49
3.1 Preface 49
3.2 Preliminaries 50
3.3 Decomposition of the set of branching points 52
Chapter 4. The nonlinear case 55
VIII
4.1 Preliminary discussion 55
4.2 Matching of extremals 57
4.3 Branching of extremals 60
4.4 Left branching 64
4.5 Two sided branching 66
Chapter 5. Linear systems with vector valued performance index 68
5.1 Preface 68
5.2 Vector branching 69
5.3 Branching pairs 74
Chapter 6. Nonlinear control systems with vector cost 78
6.1 Introduction 78
6.2 Matching of Pareto pairs 79
6.3 Branching of extended extremal trajectories 82
6.4 Branching pairs 84
Chapter 7. Optimal control problems with constraints 85
7.1 Introduction 85
7.2 Sufficient condition for matching of extremals 86
7.3 Necessary condition 88
7.4 Nonlinear case with inequality constraints 92
Chapter 8. Appendix , 97
8.1 Statement of the problem 97
8.2 Construction of the system of differential equations 97
8.3 Connection between the sets of trajectories 99
References 104
Index 106 |
| any_adam_object | 1 |
| author | Kogan, Jacob 1954- |
| author_GND | (DE-588)140237283 |
| author_facet | Kogan, Jacob 1954- |
| author_role | aut |
| author_sort | Kogan, Jacob 1954- |
| author_variant | j k jk |
| building | Verbundindex |
| bvnumber | BV000499108 |
| classification_rvk | SI 850 |
| classification_tum | MAT 496f |
| ctrlnum | (OCoLC)230831883 (DE-599)BVBBV000499108 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV000499108 |
| illustrated | Not Illustrated |
| indexdate | 2024-10-01T10:02:40Z |
| institution | BVB |
| isbn | 3540168184 0387168184 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000309426 |
| oclc_num | 230831883 |
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| physical | VIII, 106 Seiten |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Kogan, Jacob 1954- (DE-588)140237283 aut Bifurcation of extremals in optimal control Jacob Kogan Berlin, [u.a.] Springer [1986] © 1986 VIII, 106 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1216 Extremale (DE-588)4128895-6 gnd rswk-swf Extremwert (DE-588)4137272-4 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Verzweigung Mathematik (DE-588)4078889-1 gnd rswk-swf Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf Verzweigung Mathematik (DE-588)4078889-1 s Optimale Kontrolle (DE-588)4121428-6 s DE-604 Extremale (DE-588)4128895-6 s Kontrolltheorie (DE-588)4032317-1 s Extremwert (DE-588)4137272-4 s Erscheint auch als Online-Ausgabe 978-3-540-47065-6 Lecture notes in mathematics 1216 (DE-604)BV000676446 1216 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000309426&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kogan, Jacob 1954- Bifurcation of extremals in optimal control Lecture notes in mathematics Extremale (DE-588)4128895-6 gnd Extremwert (DE-588)4137272-4 gnd Kontrolltheorie (DE-588)4032317-1 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd Optimale Kontrolle (DE-588)4121428-6 gnd |
| subject_GND | (DE-588)4128895-6 (DE-588)4137272-4 (DE-588)4032317-1 (DE-588)4078889-1 (DE-588)4121428-6 |
| title | Bifurcation of extremals in optimal control |
| title_auth | Bifurcation of extremals in optimal control |
| title_exact_search | Bifurcation of extremals in optimal control |
| title_full | Bifurcation of extremals in optimal control Jacob Kogan |
| title_fullStr | Bifurcation of extremals in optimal control Jacob Kogan |
| title_full_unstemmed | Bifurcation of extremals in optimal control Jacob Kogan |
| title_short | Bifurcation of extremals in optimal control |
| title_sort | bifurcation of extremals in optimal control |
| topic | Extremale (DE-588)4128895-6 gnd Extremwert (DE-588)4137272-4 gnd Kontrolltheorie (DE-588)4032317-1 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd Optimale Kontrolle (DE-588)4121428-6 gnd |
| topic_facet | Extremale Extremwert Kontrolltheorie Verzweigung Mathematik Optimale Kontrolle |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000309426&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT koganjacob bifurcationofextremalsinoptimalcontrol |