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To a nonstationary group pursuit problem with phase constraints

  • Mathematical Game Theory and Applications
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Abstract

We consider two linear nonstationary pursuit-evasion problems with one evader and a group of pursuers under the conditions that the players have equal dynamic abilities and that the evader cannot leave a certain set. We prove that if the number of pursuers is less than the space dimension, then the evader can avoid capture in the interval [t 0,∞).

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Authors and Affiliations

  1. Udmurt State University, Izhevsk, Russia

    N. N. Petrov

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  1. N. N. Petrov
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Correspondence to N. N. Petrov.

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Original Russian Text © N.N. Petrov, 2010, published in Matematicheskaya Teoriya Igr i Priloszheniya, 2010, No. 4, pp. 97–106.

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Petrov, N.N. To a nonstationary group pursuit problem with phase constraints. Autom Remote Control 75, 1525–1531 (2014). https://doi.org/10.1134/S0005117914080153

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  • DOI: https://doi.org/10.1134/S0005117914080153

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