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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 2, Pages 178–186 (Mi timm1180)  

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
References:
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
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2016, Volume 293, Issue 1, Pages 174–182
DOI: https://doi.org/10.1134/S0081543816050163
Bibliographic databases:
Document Type: Article
UDC: 517.977
Language: Russian
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
Citation in format AMSBIB
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\by N.~N.~Petrov, N.~A.~Solov'eva
\paper Multiple capture in Pontryagin's recursive example with phase constraints
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2015
\vol 21
\issue 2
\pages 178--186
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2016
\vol 293
\issue , suppl. 1
\pages 174--182
\crossref{https://doi.org/10.1134/S0081543816050163}
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  • https://www.mathnet.ru/eng/timm/v21/i2/p178
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Trudy Instituta Matematiki i Mekhaniki UrO RAN
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