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.
Reihe
Auflage
Softcover reprint of hardcover 1st ed. 2002
Sprache
Verlagsort
Zielgruppe
Für Beruf und Forschung
Research
Illustrationen
1
1 s/w Abbildung
XIV, 408 p. 1 illus.
Maße
Höhe: 279 mm
Breite: 210 mm
Dicke: 24 mm
Gewicht
ISBN-13
978-90-481-6001-3 (9789048160013)
DOI
10.1007/978-94-017-1527-0
Schweitzer Klassifikation
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.
