Extensions and Relaxations

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.

Zusammenfassung

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

• Autoren: S. I. Morina, A. G. Chentsov, A.G. Chentsov, S.I. Morina, Aleksander Chentsov, Aleksander G. Chentsov, A Chentsov, S I Morina, A G Chentsov
• Verlag: Springer Netherlands
• Inhalt: Buch
• Produktform: Taschenbuch
• Erscheinungsdatum: 07.10.2010
• Thema: Naturwissenschaften, Medizin, Informatik, Technik > Mathematik > Sonstiges
• EAN: 9789048160013
• ISBN: 978-90-481-6001-3
• Anzahl Seiten: 408
• Illustration: XIV, 408 p. 1 illus.
• Abmessung (Verpackung): 15.5 x 2.4 x 23.5 cm
• Gewicht (Verpackung): 1’037 g
• Serie: Mathematics and Its Applications > 542; Mathematics and Its Applications > 542
• Themen: C, measure theory, Mathematics and Statistics, Topology, Functional Analysis, Systems Theory, Control, Calculus of Variations and Optimization, Calculus of variations, Calculus of Variations and Optimal Control; Optimization, Measure and Integration, System Theory, Cybernetics and systems theory, Functional analysis and transforms, Control theory, Integral calculus and equations