Pursuit differential-difference games with pure time-lag
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Дата
2019-03
Автори
Науковий керівник
Назва журналу
Номер ISSN
Назва тому
Видавець
American Institute of Mathematical Sciences
Анотація
The analytical approach for the solution of pursuit differential-difference games with pure time-lag is considered. For the pursuit local problem with the fixed time the scheme of the method of resolving functions and Pontryagin's first direct method are developed. The integral presentation of the game solution based on the time-delay exponential is proposed at the first time. The guaranteed times of the game termination are found, and corresponding control laws are constructed. Comparison of the times of approach by the method of resolving functions and Pontryagin's first direct method for the initial problem are made.
Опис
This is a post-peer-review, pre-copyedit version of an article published in “Discrete & Continuous Dynamical Systems – Series B”. The final authenticated version is available online at: http://dx.doi.org/10.3934/dcdsb.2019004
Ключові слова
differential games, pursuit games, games of approach, control theory
Бібліографічний опис
Lesia V. Baranovska. Pursuit differential-difference games with pure time-lag. Discrete & Continuous Dynamical Systems - B, 2019, 24 (3) : 1021-1031. doi: 10.3934/dcdsb.2019004