Extensions and Relaxations

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1. Verfasser: Čencov, Aleksandr Georgievič 1947- (VerfasserIn)
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Dordrecht Springer Netherlands 2002
Schriftenreihe:Mathematics and Its Applications 542
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Datensatz im Suchindex

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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