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An approach-evasion differential game: Stochastic guide

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Abstract

An approach-evasion positional differential game is considered for a conflict-controlled motion and a target set within a given set. Use is made of a solution of the associated boundary-value problem for a parabolic equation degenerating as the diffusion term vanishes to a Hamilton-Jacobi type equation, which is typical for techniques in the theory of differential games. Based on this, a control scheme with a stochastic guide is developed.

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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

    N. N. Krasovskii & A. N. Kotel’nikova

Authors
  1. N. N. Krasovskii
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  2. A. N. Kotel’nikova
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Correspondence to N. N. Krasovskii.

Additional information

Original Russian Text © N.N. Krasovskii, A.N. Kotel’nikova, 2010, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2009, Vol. 15, No. 4.

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Krasovskii, N.N., Kotel’nikova, A.N. An approach-evasion differential game: Stochastic guide. Proc. Steklov Inst. Math. 269 (Suppl 1), 191–213 (2010). https://doi.org/10.1134/S0081543810060167

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