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Conflict-Controlled Processes (Paperback, Softcover reprint of hardcover 1st ed. 1997)
Loot Price: R2,906
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Conflict-Controlled Processes (Paperback, Softcover reprint of hardcover 1st ed. 1997)
Series: Mathematics and Its Applications, 405
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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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