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A problem of pursuit and evasion

  • Systems Analysis
  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

A trajectory problem of pursuit and evasion on a plane is considered for the case of equal absolute velocities of the players. Exact solutions are obtained for fixed initial conditions.

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References

  1. R. Isaacs, Differential Games, Wiley, New York (1965).

    Google Scholar 

  2. L. S. Pontryagin, Maximum Principle in Optimal Control [in Russian], Nauka, Moscow (1989).

    Google Scholar 

  3. B. N. Pshenichnyi, Convex Analysis and Extremal Problems [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  4. N. N. Krasovskii, Control of Dynamic Systems [in Russian], Nauka, Moscow (1985).

    Google Scholar 

  5. P. A. Petrosyan and G. V. Tomskii, Geometry of Simple Pursuit [in Russian], Nauka, Novosibirsk (1983).

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  6. A. A. Chikrii, L. A. Sobolenko, and S. F. Kalashnikova, “Numerical method for solving a pursuit problem with role reversal,” Kibernetika, No. 1, 44–49 (1988).

    Google Scholar 

  7. A. A. Chikrii, I. S. Rappoport, and L. I. Vetchinova, “Positional group pursuit,” Kibernetika, No. 1, 55–62 (1989).

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Authors
  1. S. F. Krivoi
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  2. A. P. Krikovlyuk
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  3. I. G. Moroz-Podvorchan
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  4. F. I. Mushka
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  5. E. M. Pik
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Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 3, pp. 138–143, May–June, 1992.

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Krivoi, S.F., Krikovlyuk, A.P., Moroz-Podvorchan, I.G. et al. A problem of pursuit and evasion. Cybern Syst Anal 28, 445–450 (1992). https://doi.org/10.1007/BF01125425

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  • DOI: https://doi.org/10.1007/BF01125425

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