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On some sufficient conditions for optimality of the pursuit time in the differential game with multiple pursuers

  • Determinate Systems
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Abstract

Consideration was given to the problem of optimal pursuit of one object by multiple objects. The player’s moves obey the ordinary differential equations. Geometrical constraints are imposed on the player controls. Sufficient conditions were obtained for optimality of the pursuit time, and the optimal player strategies were constructed.

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Authors and Affiliations

  1. Romanovskii Institute of Mathematics, Tashkent, Uzbekistan

    G. I. Ibragimov & B. B. Rikhsiev

Authors
  1. G. I. Ibragimov
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  2. B. B. Rikhsiev
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Original Russian Text © G.I. Ibragimov, B.B. Rikhsiev, 2006, published in Avtomatika i Telemekhanika, 2006, No. 4, pp. 16–24.

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Ibragimov, G.I., Rikhsiev, B.B. On some sufficient conditions for optimality of the pursuit time in the differential game with multiple pursuers. Autom Remote Control 67, 529–537 (2006). https://doi.org/10.1134/S0005117906040023

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  • DOI: https://doi.org/10.1134/S0005117906040023

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