Geodesic
Multiple capture in Pontryagin's recursive example with phase constraints
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 2, pp. 178-186

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We consider Pontryagin's generalized nonstationary example with identical dynamic and inertial capabilities of the players and state constraints on the evader's states. The boundary of the phase constraints is not a “death line” for the evader. The set of admissible controls is a ball centered at the origin, and the terminal sets are the origin. We obtain sufficient conditions for a multiple capture of one evader by a group of pursuers in the case when some functions corresponding to the initial data and parameters of the game are recursive.
Keywords: pursuer, evader, phase restrictions, Pontryagin's example, group pursuit. 
@article{TIMM_2015_21_2_a14,
     author = {N. N. Petrov and N. A. Solov'eva},
     title = {Multiple capture in {Pontryagin's} recursive example with phase constraints},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {178--186},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2015_21_2_a14/}
}
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N. N. Petrov; N. A. Solov'eva. Multiple capture in Pontryagin's recursive example with phase constraints. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 2, pp. 178-186. http://geodesic.mathdoc.fr/item/TIMM_2015_21_2_a14/