Conflict-Controlled Processes / Edition 1

Conflict-Controlled Processes / Edition 1

by A. Chikrii
     
 

ISBN-10: 0792345223

ISBN-13: 9780792345220

Pub. Date: 04/30/1997

Publisher: Springer Netherlands

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

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Overview

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.

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Product Details

ISBN-13:
9780792345220
Publisher:
Springer Netherlands
Publication date:
04/30/1997
Series:
Mathematics and Its Applications (closed) Series, #405
Edition description:
1997
Pages:
404
Product dimensions:
6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

Preface
Introduction
1Auxiliary Mathematical Results1
2The Method of Resolving Functions31
3Group Pursuit179
4Complete Conflict Controllability249
5Successive Pursuit281
6Interaction of Group of Controlled Objects321
Bibliographic Commentary371
References375
Index401

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