Extensions and Relaxations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2002
|
| Schriftenreihe: | Mathematics and Its Applications
542 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In this book a general topological construction of extension is proposed for problems of attainability in topological spaces under perturbation of a system of constraints. This construction is realized in a special class of generalized elements defined as finitely additive measures. A version of the method of programmed iterations is constructed. This version realizes multi-valued control quasistrategies, which guarantees the solution of the control problem that consists in guidance to a given set under observation of phase constraints. Audience: The book will be of interest to researchers, and graduate students in the field of optimal control, mathematical systems theory, measure and integration, functional analysis, and general topology |
| Beschreibung: | 1 Online-Ressource (XIV, 408 p) |
| ISBN: | 9789401715270 9789048160013 |
| DOI: | 10.1007/978-94-017-1527-0 |
Internformat
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| 245 | 1 | 0 | |a Extensions and Relaxations |c by A. G. Chentsov, S. I. Morina |
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| 490 | 0 | |a Mathematics and Its Applications |v 542 | |
| 500 | |a In this book a general topological construction of extension is proposed for problems of attainability in topological spaces under perturbation of a system of constraints. This construction is realized in a special class of generalized elements defined as finitely additive measures. A version of the method of programmed iterations is constructed. This version realizes multi-valued control quasistrategies, which guarantees the solution of the control problem that consists in guidance to a given set under observation of phase constraints. Audience: The book will be of interest to researchers, and graduate students in the field of optimal control, mathematical systems theory, measure and integration, functional analysis, and general topology | ||
| 650 | 4 | |a Mathematics | |
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| 650 | 4 | |a Measure and Integration | |
| 650 | 4 | |a Functional Analysis | |
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Datensatz im Suchindex
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| author | Čencov, Aleksandr Georgievič 1947- |
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| author_role | aut |
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| author_variant | a g č ag agč |
| building | Verbundindex |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-017-1527-0 |
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| id | DE-604.BV042424254 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:15Z |
| institution | BVB |
| isbn | 9789401715270 9789048160013 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027859671 |
| oclc_num | 863941130 |
| open_access_boolean | |
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| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XIV, 408 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer Netherlands |
| record_format | marc |
| series2 | Mathematics and Its Applications |
| spelling | Čencov, Aleksandr Georgievič 1947- Verfasser (DE-588)1055925732 aut Extensions and Relaxations by A. G. Chentsov, S. I. Morina Dordrecht Springer Netherlands 2002 1 Online-Ressource (XIV, 408 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 542 In this book a general topological construction of extension is proposed for problems of attainability in topological spaces under perturbation of a system of constraints. This construction is realized in a special class of generalized elements defined as finitely additive measures. A version of the method of programmed iterations is constructed. This version realizes multi-valued control quasistrategies, which guarantees the solution of the control problem that consists in guidance to a given set under observation of phase constraints. Audience: The book will be of interest to researchers, and graduate students in the field of optimal control, mathematical systems theory, measure and integration, functional analysis, and general topology Mathematics Functional analysis Systems theory Mathematical optimization Topology Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Measure and Integration Functional Analysis Mathematik Morina, S. I. Sonstige oth https://doi.org/10.1007/978-94-017-1527-0 Verlag Volltext |
| spellingShingle | Čencov, Aleksandr Georgievič 1947- Extensions and Relaxations Mathematics Functional analysis Systems theory Mathematical optimization Topology Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Measure and Integration Functional Analysis Mathematik |
| title | Extensions and Relaxations |
| title_auth | Extensions and Relaxations |
| title_exact_search | Extensions and Relaxations |
| title_full | Extensions and Relaxations by A. G. Chentsov, S. I. Morina |
| title_fullStr | Extensions and Relaxations by A. G. Chentsov, S. I. Morina |
| title_full_unstemmed | Extensions and Relaxations by A. G. Chentsov, S. I. Morina |
| title_short | Extensions and Relaxations |
| title_sort | extensions and relaxations |
| topic | Mathematics Functional analysis Systems theory Mathematical optimization Topology Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Measure and Integration Functional Analysis Mathematik |
| topic_facet | Mathematics Functional analysis Systems theory Mathematical optimization Topology Calculus of Variations and Optimal Control; Optimization Systems Theory, Control Measure and Integration Functional Analysis Mathematik |
| url | https://doi.org/10.1007/978-94-017-1527-0 |
| work_keys_str_mv | AT cencovaleksandrgeorgievic extensionsandrelaxations AT morinasi extensionsandrelaxations |