Optimization and identification of systems governed by evolution equations on Banach space:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Harlow
Longman
1988
|
| Edition: | 1. publ. |
| Series: | Pitman research notes in mathematics series
184 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 187 S. graph. Darst. |
| ISBN: | 0582034477 0470211717 |
Staff View
MARC
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| 100 | 1 | |a Ahmed, Nasir U. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Optimization and identification of systems governed by evolution equations on Banach space |c N. U. Ahmed |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Harlow |b Longman |c 1988 | |
| 300 | |a 187 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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Record in the Search Index
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| adam_text | Contents
INTRODUCTION 1
CHAPTER 1 EXISTENCE THEORY IN IDENTIFICATION 4
1.1 Introduction 4
1.2 Existence of Solutions of Linear Evolution Equations 8
1.3 Existence of Optimal Operators 9
1.3.1 Parabolic System 9
1.3.2 Structurally Damped Hyperbolic System 13
1.3.3 Undamped Hyperbolic System 14
1.4 Existence of both Operators and Parameters 16
1.4.1 Parabolic System 18
1.4.2 Structually Damped Hyperbolic System 19
1.4.3 Undamped Hyperbolic System 19
1.5 Further Generalization of Existence Results 19
1.6 Some Results Based on Semigroup Theory 25
CHAPTER 2 NECESSARY CONDITIONS OF OPTIMALITY 43
2.1 Introduction 43
2.2 Necessary Conditions for optimal Operators 43
2.2.1 Parabolic System 45
2.2.2 Damped Hyperbolic System 48
2.2.3 Undamped Hyperbolic System 49
2.3 Necessary Conditions of Optimality for both Operators and Parameters 52
2.3.1 Parabolic System 52
2.3.2 Damped Hyperbolic System 55
2.3.3 Undamped Hyperbolic System 56
CHAPTER 3 LINEAR AND SEMILINEAR INITIAL BOUNDARY
VALUE PROBLEMS 59
3.1 Introduction 59
3.2 Existence of Solutions of Integral Evolution Equations 64
3.3 Existence Theory for Identification 70
3.4 Necessary Conditions of Optimality 74
3.5 A Computational Method 78
3.6 Nonlinear Boundary Value Problems and Relaxed Controls 87
CHAPTER 4 NONLINEAR SYSTEMS 94
4.1 Systems Containing Monotone Operators 94
4.1.1 Nondegenerate Nonlinear Systems 95
Existence Theory in Identification
Necessary Conditions of optimality
4.1.2 Degenerate Nonlinear Systems 105
Existence Theory in Identification
Necessary Conditions of Optimality
4.2 Systems Containing Accretive Operators 115
4.2.1 Introduction 115
4.2.2 Existence of Solution 119
4.2.3 Identification 127
4.2.4 Necessary conditions of Optimality 130
4.3 Quasilinear Systems 133
CHAPTER 5 STOCHASTIC SYSTEMS 139
5.1 Introduction 139
5.2 Identification of Partially Observed Stochastic Systems 139
5.2.1 Nonlinear Filtering 142
5.2.2 Identification 146
5.3 Linear Filtering and Stochastic Control in Banach Space 154
5.3.1 Introduction 154
5.3.2 Filtering Problem 156
5.3.3 Reformulation of the Filtering Problem as a Dynamic
Optimization Problem 157
5.3.4 Filter Equations 161
5.3.5 Partially Observed Stochastic Control 165
CHAPTER 6 COMPUTATIONAL ALGORITHM AND EXAMPLES 170
6.1 Algorithm 170
6.2 Examples 173
Parabolic Systems
Hyperbolic Systems
Integral Operators
Monotone Operators
Accretive Operators
REFERENCES 184
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| any_adam_object | 1 |
| author | Ahmed, Nasir U. |
| author_facet | Ahmed, Nasir U. |
| author_role | aut |
| author_sort | Ahmed, Nasir U. |
| author_variant | n u a nu nua |
| building | Verbundindex |
| bvnumber | BV001340137 |
| classification_rvk | SI 880 SK 870 |
| ctrlnum | (OCoLC)246853009 (DE-599)BVBBV001340137 |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV001340137 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:27:32Z |
| institution | BVB |
| isbn | 0582034477 0470211717 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000810497 |
| oclc_num | 246853009 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-739 DE-355 DE-BY-UBR DE-83 DE-188 |
| owner_facet | DE-12 DE-384 DE-739 DE-355 DE-BY-UBR DE-83 DE-188 |
| physical | 187 S. graph. Darst. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Longman |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Ahmed, Nasir U. Verfasser aut Optimization and identification of systems governed by evolution equations on Banach space N. U. Ahmed 1. publ. Harlow Longman 1988 187 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 184 Banach-Raum (DE-588)4004402-6 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf Systemidentifikation (DE-588)4121753-6 gnd rswk-swf Evolutionsgleichung (DE-588)4129061-6 gnd rswk-swf Systemidentifikation (DE-588)4121753-6 s Evolutionsgleichung (DE-588)4129061-6 s Banach-Raum (DE-588)4004402-6 s DE-604 Optimierung (DE-588)4043664-0 s Pitman research notes in mathematics series 184 (DE-604)BV000022845 184 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000810497&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ahmed, Nasir U. Optimization and identification of systems governed by evolution equations on Banach space Pitman research notes in mathematics series Banach-Raum (DE-588)4004402-6 gnd Optimierung (DE-588)4043664-0 gnd Systemidentifikation (DE-588)4121753-6 gnd Evolutionsgleichung (DE-588)4129061-6 gnd |
| subject_GND | (DE-588)4004402-6 (DE-588)4043664-0 (DE-588)4121753-6 (DE-588)4129061-6 |
| title | Optimization and identification of systems governed by evolution equations on Banach space |
| title_auth | Optimization and identification of systems governed by evolution equations on Banach space |
| title_exact_search | Optimization and identification of systems governed by evolution equations on Banach space |
| title_full | Optimization and identification of systems governed by evolution equations on Banach space N. U. Ahmed |
| title_fullStr | Optimization and identification of systems governed by evolution equations on Banach space N. U. Ahmed |
| title_full_unstemmed | Optimization and identification of systems governed by evolution equations on Banach space N. U. Ahmed |
| title_short | Optimization and identification of systems governed by evolution equations on Banach space |
| title_sort | optimization and identification of systems governed by evolution equations on banach space |
| topic | Banach-Raum (DE-588)4004402-6 gnd Optimierung (DE-588)4043664-0 gnd Systemidentifikation (DE-588)4121753-6 gnd Evolutionsgleichung (DE-588)4129061-6 gnd |
| topic_facet | Banach-Raum Optimierung Systemidentifikation Evolutionsgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000810497&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022845 |
| work_keys_str_mv | AT ahmednasiru optimizationandidentificationofsystemsgovernedbyevolutionequationsonbanachspace |