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On Pontryagin’s first direct method in pursuit problems

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Abstract

We describe an example of a three-dimensional linear differential game with convex compact sets of control. In this example, the integrand in Pontryagin’s first direct method is discontinuous on a set of positive measure.

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Authors and Affiliations

  1. Institute of Mathematics and Information Technologies, Academy of Sciences, Republic Usbekhistan, Tashkent

    A. A. Azamov

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  1. A. A. Azamov
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Correspondence to A. A. Azamov.

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Original Russian Text © A. A. Azamov, 2011, published in Matematicheskie Zametki, 2011, Vol. 90, No. 2, pp. 163–167.

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Azamov, A.A. On Pontryagin’s first direct method in pursuit problems. Math Notes 90, 157 (2011). https://doi.org/10.1134/S0001434611070169

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