Geodesic
Differential game with a target set in the ring form and with an integral constraint of the first player control
Čelâbinskij fiziko-matematičeskij žurnal, Tome 2 (2017) no. 4, pp. 388-400

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One-type game, in which the first player has an integral control constraint, the second player has a geometric constraint, is considered. The goal of the first player is to hit the area in the form of a ring located around the opponent at a fixed moment of time $p$ with the minimum resource reserve. The second player's goal is to avoid this hit. The problem of resource minimization in such a game was solved.
Keywords: differential game, integral control constraint, geometric control constraint, ring form target set. 
@article{CHFMJ_2017_2_4_a1,
     author = {S. R. Aleeva and G. R. Berezovskaya},
     title = {Differential game with a target set in the ring form and with an integral constraint of the first player control},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {388--400},
     publisher = {mathdoc},
     volume = {2},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2017_2_4_a1/}
}
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S. R. Aleeva; G. R. Berezovskaya. Differential game with a target set in the ring form and with an integral constraint of the first player control. Čelâbinskij fiziko-matematičeskij žurnal, Tome 2 (2017) no. 4, pp. 388-400. http://geodesic.mathdoc.fr/item/CHFMJ_2017_2_4_a1/