Extensions and Relaxations

  • A. G. Chentsov
  • S. I. Morina

Part of the Mathematics and Its Applications book series (MAIA, volume 542)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. A. G. Chentsov, S. I. Morina
    Pages 15-80
  3. A. G. Chentsov, S. I. Morina
    Pages 81-140
  4. A. G. Chentsov, S. I. Morina
    Pages 141-255
  5. A. G. Chentsov, S. I. Morina
    Pages 257-306
  6. A. G. Chentsov, S. I. Morina
    Pages 363-390
  7. A. G. Chentsov, S. I. Morina
    Pages 391-392
  8. Back Matter
    Pages 393-408

About this book


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.


Compactification Optimal control functional analysis measure theory set system

Authors and affiliations

  • A. G. Chentsov
    • 1
  • S. I. Morina
    • 1
  1. 1.Institute of Mathematics and MechanicsUral Branch of Russian Academy of SciencesEkaterinburgRussia

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 2002
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-6001-3
  • Online ISBN 978-94-017-1527-0
  • Buy this book on publisher's site