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Game problem of controlling three dynamical systems with fixed final timesстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из перечня ВАК
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 27 мая 2015 г.
- Автор: Grigorenko N.L.
- Журнал: Proceedings of the Steklov Institute of Mathematics
- Том: 277
- Номер: 1
- Год издания: 2012
- Издательство: Springer Verlag
- Местоположение издательства: Germany
- Первая страница: 43
- Последняя страница: 50
- DOI: 10.1134/S0081543812040049
- Аннотация: A three-player game is considered in which the first and second players have dynamic superiority over the third player. Two fixed time points are specified. The game ends if either the first player captures the third player at the first time point, or the second player captures the third player at the second time point. We analyze a situation when the initial positions in the game are such that neither the first nor the second player alone can capture the third player at the specified points of time. We propose sufficient conditions on the parameters of the game under which, for given initial states of the players, the first and second players by applying some controls can guarantee that one of them will meet the third player at the prescribed moment. Simulation results for a model example are also presented.
- Добавил в систему: Григоренко Николай Леонтьевич