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140122 ||| eng |
| 020 |
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|a 9789401715270
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| 100 |
1 |
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|a Chentsov, A.G.
|
| 245 |
0 |
0 |
|a Extensions and Relaxations
|h Elektronische Ressource
|c by A.G. Chentsov, S.I. Morina
|
| 250 |
|
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|a 1st ed. 2002
|
| 260 |
|
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|a Dordrecht
|b Springer Netherlands
|c 2002, 2002
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| 300 |
|
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|a XIV, 408 p. 1 illus
|b online resource
|
| 505 |
0 |
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|a 1. Phase Constraints and Boundary Conditions in Linear Control Problems -- 2. General Structures -- 3. Topological Constructions of Extensions and Relaxations -- 4. Elements of Measure Theory and Extension Constructions -- 5. Compactifications and Problems of Integration -- 6. Non-Anticipating Procedures of Control and Iteration Methods for Constructing Them -- 7. An Extension Construction for Set-Valued Quasi-Strategies -- Conclusion -- References -- Notation
|
| 653 |
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|a Functional analysis
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| 653 |
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|a Measure theory
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| 653 |
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|a Functional Analysis
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| 653 |
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|a Calculus of Variations and Optimization
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| 653 |
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|a Control theory
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| 653 |
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|a Systems Theory, Control
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| 653 |
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|a System theory
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| 653 |
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|a Topology
|
| 653 |
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|a Measure and Integration
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| 653 |
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|a Mathematical optimization
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| 653 |
|
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|a Calculus of variations
|
| 700 |
1 |
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|a Morina, S.I.
|e [author]
|
| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
|
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|b SBA
|a Springer Book Archives -2004
|
| 490 |
0 |
|
|a Mathematics and Its Applications
|
| 028 |
5 |
0 |
|a 10.1007/978-94-017-1527-0
|
| 856 |
4 |
0 |
|u https://doi.org/10.1007/978-94-017-1527-0?nosfx=y
|x Verlag
|3 Volltext
|
| 082 |
0 |
|
|a 515.64
|
| 082 |
0 |
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|a 519.6
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| 520 |
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|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
|