Necessary conditions in dynamic optimization:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Mathematical Society
2005
|
| Series: | Memoirs of the American Mathematical Society
Number 816 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | IX, 113 S. |
| ISBN: | 0821835912 |
Staff View
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Record in the Search Index
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| adam_text | TV/TEMOIRS -LVA OF THE AMERICAN MATHEMATICAL SOCIETY NUMBER 816
NECESSARY CONDITIONS IN DYNAMIC OPTIMIZATION FRANCIS CLARKE JANUARY 2005
* VOLUME 173 * NUMBER 816 (FIRST OF 5 NUMBERS) * ISSN 0065-9266 AMERICAN
MATHEMATICAL SOCIETY PROVIDENCE, RHODE ISLAND CONTENTS INTRODUCTION 1
1.1 CLASSICAL NECESSARY CONDITIONS 1 1.2 DIFFERENTIAL INCLUSIONS 4 1.3
NONSMOOTH ANALYSIS 12 1.4 NOTES 15 BOUNDARY TRAJECTORIES 17 2.1 A
PREPARATION THEOREM 17 2.2 AN INTEGRAL COST FUNCTIONAL 26 2.3 A GENERAL
THEOREM ON BOUNDARY TRAJECTORIES 28 2.4 PROOF OF THE THEOREM 29 2.5 TWO
VARIANTS OF THE THEOREM 37 2.6 NOTES 39 DIFFERENTIAL INCLUSIONS 41 3.1
STRATIFIED NECESSARY CONDITIONS 41 3.2 ON THE TEMPERED GROWTH CONDITION
45 3.3 THE CASE OF A WEAK LOCAL MINIMUM 47 3.4 THE SECOND ERDMANN
CONDITION 49 3.5 PROXIMAL CRITERIA FOR PSEUDO-LIPSCHITZNESS 52 3.6 NOTES
58 THE CALCULUS OF VARIATIONS 61 4.1 STRATIFIED NECESSARY CONDITIONS 61
4.2 A CLASSICAL MULTIPLIER RULE 66 4.3 GENERALIZED TONELLI-MORREY
INTEGRANDS 68 4.4 FINITE LAGRANGIANS 72 4.5 THREE REGULARITY THEOREMS 76
4.6 NOTES 80 VN VIII CONTENTS 5 OPTIMAL CONTROL OF VECTOR FIELDS 83 5.1
A STRATIFIED MAXIMUM PRINCIPLE 83 5.2 INDIRECT CRITERIA FOR
PSEUDO-LIPSCHITZNESS 89 5.3 A HYBRID MAXIMUM PRINCIPLE 91 5.4 NOTES 96 6
THE HAMILTONIAN INCLUSION 99 6.1 BOUNDARY TRAJECTORIES 101 6.2 NOTES 104
BIBLIOGRAPHY 105 INDEX 111
|
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| isbn | 0821835912 |
| language | English |
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| physical | IX, 113 S. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | American Mathematical Society |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Clarke, Francis H. 1948- Verfasser (DE-588)173744710 aut Necessary conditions in dynamic optimization Francis Clarke Providence, R.I. American Mathematical Society 2005 IX, 113 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society Number 816 Includes bibliographical references and index Calculo de variações larpcal Hamiltonianen gtt Optimaliseren gtt Otimização matemática larpcal Sistemas hamiltonianos larpcal aHamiltonian systems aMathematical optimization Hamiltonsches System (DE-588)4139943-2 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf Hamiltonsches System (DE-588)4139943-2 s Optimierung (DE-588)4043664-0 s b DE-604 Memoirs of the American Mathematical Society Number 816 (DE-604)BV008000141 816 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013010146&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Clarke, Francis H. 1948- Necessary conditions in dynamic optimization Memoirs of the American Mathematical Society Calculo de variações larpcal Hamiltonianen gtt Optimaliseren gtt Otimização matemática larpcal Sistemas hamiltonianos larpcal aHamiltonian systems aMathematical optimization Hamiltonsches System (DE-588)4139943-2 gnd Optimierung (DE-588)4043664-0 gnd |
| subject_GND | (DE-588)4139943-2 (DE-588)4043664-0 |
| title | Necessary conditions in dynamic optimization |
| title_auth | Necessary conditions in dynamic optimization |
| title_exact_search | Necessary conditions in dynamic optimization |
| title_full | Necessary conditions in dynamic optimization Francis Clarke |
| title_fullStr | Necessary conditions in dynamic optimization Francis Clarke |
| title_full_unstemmed | Necessary conditions in dynamic optimization Francis Clarke |
| title_short | Necessary conditions in dynamic optimization |
| title_sort | necessary conditions in dynamic optimization |
| topic | Calculo de variações larpcal Hamiltonianen gtt Optimaliseren gtt Otimização matemática larpcal Sistemas hamiltonianos larpcal aHamiltonian systems aMathematical optimization Hamiltonsches System (DE-588)4139943-2 gnd Optimierung (DE-588)4043664-0 gnd |
| topic_facet | Calculo de variações Hamiltonianen Optimaliseren Otimização matemática Sistemas hamiltonianos aHamiltonian systems aMathematical optimization Hamiltonsches System Optimierung |
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