A.G. Chentsov,
S.I. Morina
Springer Netherlands
2002e druk, 2002
9781402005794
Extensions and Relaxations
Specificaties
Gebonden, 408 blz.
|
Engels
Springer Netherlands |
2002e druk, 2002
ISBN13: 9781402005794
Rubricering
Onderdeel van serie
Mathematics and Its Applications
Levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9781402005794
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:408
Uitgever:Springer Netherlands
Druk:2002
Inhoudsopgave
Preface.
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. Index.
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. Index.