Extensions and Relaxations
Seiten
2010
|
Softcover reprint of hardcover 1st ed. 2002
Springer (Verlag)
978-90-481-6001-3 (ISBN)
Springer (Verlag)
978-90-481-6001-3 (ISBN)
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.
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.
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.
Erscheint lt. Verlag | 6.12.2010 |
---|---|
Reihe/Serie | Mathematics and Its Applications ; 542 |
Zusatzinfo | 1 Illustrations, black and white; XIV, 408 p. 1 illus. |
Verlagsort | Dordrecht |
Sprache | englisch |
Maße | 210 x 279 mm |
Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
Mathematik / Informatik ► Mathematik ► Analysis | |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
Mathematik / Informatik ► Mathematik ► Finanz- / Wirtschaftsmathematik | |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
ISBN-10 | 90-481-6001-4 / 9048160014 |
ISBN-13 | 978-90-481-6001-3 / 9789048160013 |
Zustand | Neuware |
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