Buch, Englisch, Band 542, 408 Seiten, Paperback, Format (B × H): 210 mm x 279 mm, Gewicht: 1037 g
Buch, Englisch, Band 542, 408 Seiten, Paperback, Format (B × H): 210 mm x 279 mm, Gewicht: 1037 g
Reihe: Mathematics and Its Applications
ISBN: 978-90-481-6001-3
Verlag: Springer Netherlands
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.
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
- Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
- Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie
- Mathematik | Informatik Mathematik Operations Research Spieltheorie
- Technische Wissenschaften Elektronik | Nachrichtentechnik Elektronik Überwachungstechnik
Weitere Infos & Material
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.
