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Geometric properties of successful solvability sets in pursuit game problems

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Abstract

This paper is devoted to the study of the properties of solutions to pursuit-evasion game problems. We study such properties as the connectedness and continuous time dependence of the sections of the successful solvability set. We obtain a sufficient condition for the connectedness and continuous time dependence of sections.

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References

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620219, Russia

    Yu. V. Averbukh

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  1. Yu. V. Averbukh
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Correspondence to Yu. V. Averbukh.

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Original Russian Text © Yu.V. Averbukh, 2008, published in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Vol. 262, pp. 8–15.

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Averbukh, Y.V. Geometric properties of successful solvability sets in pursuit game problems. Proc. Steklov Inst. Math. 262, 2–9 (2008). https://doi.org/10.1134/S0081543808030024

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  • DOI: https://doi.org/10.1134/S0081543808030024

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