Conflict-Controlled Processes (Mathematics and Its Applications, 405) - Hardcover

Chikrii, A.

Hardcover

ISBN 10: 0792345223 ISBN 13: 9780792345220

Publisher: Springer, 1997

Synopsis

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.

About this title

Language Notes

Text: English (translation)
Original Language: Russian

Edition details

• Publisher: Springer
• Publication date: 1997
• Language: English
• ISBN 10: 0792345223
• ISBN 13: 9780792345220
• Binding: Hardcover
• Number of pages: 424