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On one nonlinear problem of sequential approach of a controlled object to two evading points

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Abstract

We consider a problem in which a pursuer described by a nonlinear third-order system aims to sequentially approach two points moving along straight lines in a minimal time. The evaders aim to increase the approach time as much as possible by choosing their directions of motion.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Division of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russia

    Yu. I. Berdyshev

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  1. Yu. I. Berdyshev
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Correspondence to Yu. I. Berdyshev.

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Original Russian Text © Yu.I. Berdyshev, 2010, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Vol. 15, No. 3.

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Berdyshev, Y.I. On one nonlinear problem of sequential approach of a controlled object to two evading points. Proc. Steklov Inst. Math. 268 (Suppl 1), 23–31 (2010). https://doi.org/10.1134/S0081543810050032

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  • DOI: https://doi.org/10.1134/S0081543810050032

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