| Conflict-Controlled Processes 1997 Edition Contributor(s): Chikrii, A. (Author) |
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ISBN: 0792345223 ISBN-13: 9780792345220 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: April 1997 Annotation: This volume advances a new method for the solution of game problems of pursuit-evasion, which efficiently solves a wide range of game problems. In the case of simple motions' it fully substantiates the classic parallel pursuit' rule well known on a heuristic level to the designers of control systems. This method can be used for the solution of differential games of group and consecutive pursuit, the problem of complete controllability, and the problem of conflict interaction of a group of controlled objects, both for number under state constraints and under delay of information. These problems are not practically touched upon in other monographs. Some basic notions from functional and convex analysis, theory of set-valued maps and linear control theory are sufficient for understanding the main content of the book. Audience: This book will be of interest to specialists, as well as graduate and postgraduate students in applied mathematics and mechanics, and researchers in the mathematical theory of control, games theory and its applications. |
| Additional Information |
| BISAC Categories: - Mathematics | Linear & Nonlinear Programming - Mathematics | Game Theory - Mathematics | Applied |
| Dewey: 003.760 |
| LCCN: 97008154 |
| Series: Mathematics and Its Applications |
| Physical Information: 0.94" H x 6.14" W x 9.21" (1.71 lbs) 404 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |