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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 2, Pages 178–186
(Mi timm1180)
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This article is cited in 12 scientific papers (total in 12 papers)
Multiple capture in Pontryagin's recursive example with phase constraints
N. N. Petrov, N. A. Solov'eva Udmurt State University, Mathematical Department
Abstract:
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.
Received: 10.02.2015
Citation:
N. N. Petrov, N. A. Solov'eva, “Multiple capture in Pontryagin's recursive example with phase constraints”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 2, 2015, 178–186; Proc. Steklov Inst. Math. (Suppl.), 293, suppl. 1 (2016), 174–182
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https://www.mathnet.ru/eng/timm1180 https://www.mathnet.ru/eng/timm/v21/i2/p178
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Abstract page: | 373 | Full-text PDF : | 82 | References: | 76 | First page: | 15 |
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