Aleksander G. Chentsov, S. I. Morina

Extensions and Relaxations

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Mathematics and Its Applications 542
• Verlag: Springer / Springer Netherlands
• Artikelnr. des Verlages: 978-90-481-6001-3
• Softcover reprint of hardcover 1st ed. 2002
• Seitenzahl: 428
• Erscheinungstermin: 6. Dezember 2010
• Englisch
• Abmessung: 279mm x 210mm x 24mm
• Gewicht: 1037g
• ISBN-13: 9789048160013
• ISBN-10: 9048160014
• Artikelnr.: 32013740

Inhaltsangabe

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.