КОНФЛІКТНІ СИТУАЦІЇ ЗА УЧАСТЮ ГРУП КЕРОВАНИХ ОБ’ЄКТІВ. Частина 2. ПЕРЕХОПЛЕННЯ ЦІЛЕЙ
An overview of research methods of conflict situations involving groups of controlled objects on each of the counteracting sides is presented. The announced principle of interval decomposition includes solving typical problems of target distribution, group and successive pursuit. To solve them, the...
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| Date: | 2020 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
V.M. Glushkov Institute of Cybernetics of NAS of Ukraine
2020
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| Subjects: | |
| Online Access: | https://jais.net.ua/index.php/files/article/view/493 |
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| Journal Title: | Problems of Control and Informatics |
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Problems of Control and Informatics| Summary: | An overview of research methods of conflict situations involving groups of controlled objects on each of the counteracting sides is presented. The announced principle of interval decomposition includes solving typical problems of target distribution, group and successive pursuit. To solve them, the method of resolving functions and the extremal aiming rule of N.N. Krasovskii are used. The method of resolving functions, in particular, made it possible to describe the environment situation in the presence of a group of pursuers, as well as in the problems with phase constraints. This made it possible to solve a number of classical problems from the book of R. Isaacs. In the problem of traveling salesman type, namely, in the successive approach, using the law of parallel pursuit and the properties of the Apollonius circle, an algorithm is given for reducing to the finite-dimensional conditional optimization problem. In the positional group pursuit, the ideas of the L.S. Pontryagin maximum principle as well as the B.N. Pshenichnyi scheme associated with the first absorption time are used. The results are illustrated on model examples of game situations. The pursuit processes are implemented in the class of stroboscopic strategies of O. Hajek as well as with the help of quasi-strategies and positional strategies of N.N. Krasovskii. |
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