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On the isochronous and stroboscopic capture in differential games

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Abstract

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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References

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

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

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  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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