| Dewey Class |
515.64 |
| Title |
Extensions and Relaxations ([EBook]) / by A. G. Chentsov, S. I. Morina. |
| Author |
Chentsov, A. G.(Aleksandr Georgievič) , 1947- |
| Added Personal Name |
Morina, Svetlana |
| Other name(s) |
SpringerLink (Online service) |
| Publication |
Dordrecht : Springer Netherlands , 2002. |
| Physical Details |
XIV, 408 pages, 1 illus. : online resource. |
| Series |
Mathematics and its applications ; 542 |
| ISBN |
9789401715270 |
| Summary Note |
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.: |
| Contents note |
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. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/978-94-017-1527-0 |
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