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On the isochronous and stroboscopic capture in differential games

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In Ref. 1, Hájek formulated the conjecture that isochronous capture is necessarily stroboscopic in linear differential games. Here, it is shown that this conjecture is not valid.

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  1. 1.

    Hájek, O.,Pursuit Games, Academic Press, New York, New York, 1975.

  2. 2.

    Subbotin, A. I.,Review of Ref. 1, Mathematical Reviews, Vol. 56, pp. 1928–1929, 1978.

  3. 3.

    Krasovskij, N. N., andSubbotin, A. I.,Positional Differential Games (in Russian), Nauka, Moscow, USSR, 1974.

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Communicated by G. Leitmann

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Subbotin, A.I. On the isochronous and stroboscopic capture in differential games. J Optim Theory Appl 37, 115–119 (1982). https://doi.org/10.1007/BF00934369

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Key Words

  • Differential games
  • isochronous capture
  • stroboscopic strategy