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Conflict-Controlled Processes

  • Book
  • © 1997

Overview

Authors:
  1. A. Chikrii

    1. Glushkov Institute of Cybernetics, Kiev, Ukraine

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Part of the book series: Mathematics and Its Applications (MAIA, volume 405)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xx
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  2. Auxiliary Mathematical Results

    • A. Chikrii
    Pages 1-30

  3. The Method of Resolving Functions

    • A. Chikrii
    Pages 31-178

  4. Group Pursuit

    • A. Chikrii
    Pages 179-248

  5. Complete Conflict Controllability

    • A. Chikrii
    Pages 249-279

  6. Successive Pursuit

    • A. Chikrii
    Pages 281-319

  7. Interaction of Group of Controlled Objects

    • A. Chikrii
    Pages 321-369

  8. Back Matter

    Pages 371-404
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Keywords

About this book

This monograph covers one of the divisions of mathematical theory of control which examines moving objects functionating under conflict and uncertainty conditions. To identify this range of problems we use the term "conflict con­ trolled processes", coined in recent years. As the name itself does not imply the type of dynamics (difference, ordinary differential, difference-differential, integral, or partial differential equations) the differential games falI within its realms. The problems of search and tracking moving objects are also referred to the field of conflict controlled process. The contents of the monograph is confined to studying classical pursuit-evasion problems which are central to the theory of conflict controlled processes. These problems underlie the theory and are of considerable interest to researchers up to now. It should be noted that the methods of "Line of Sight", "Parallel Pursuit", "Proportional N avigation" ,"Modified Pursuit" and others have been long and well known among engineers engaged in design of rocket and space technology. An abstract theory of dynamic game problems, in its turn, is based on the methods originated by R. Isaacs, L. S. Pontryagin, and N. N. Krasovskii, and on the approaches developed around these methods. At the heart of the book is the Method of Resolving Functions which was realized within the class of quasistrategies for pursuers and then applied to the solution of the problems of "hand-to-hand", group, and succesive pursuit.

Authors and Affiliations

  • Glushkov Institute of Cybernetics, Kiev, Ukraine

    A. Chikrii

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