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On a pursuit-evasion problem under a linear change of the pursuer resource

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Abstract

We study a pursuit-evasion problem in the case when an integral constraint is imposed on the pursuer control class which is a generalization of integral as well as geometric constraints and only a geometric constraint is imposed on the evader control class. We prove the theorem of alternative. The optimal pursuit problem is solved by a generalized parallel pursuit strategy, and lower bounds for the distance between the pursuer and the evader are established in the pursuit problem.

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Authors and Affiliations

  1. Namangan State University, Namangan, 716019, Uzbekistan

    B. T. Samatov

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  1. B. T. Samatov
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Correspondence to B. T. Samatov.

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Original Russian Text © B. T. Samatov, 2012, published in Matematicheskie Trudy, 2012, Vol. 15, No. 2, pp. 159–171.

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Samatov, B.T. On a pursuit-evasion problem under a linear change of the pursuer resource. Sib. Adv. Math. 23, 294–302 (2013). https://doi.org/10.3103/S1055134413040056

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  • DOI: https://doi.org/10.3103/S1055134413040056

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