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On a Descriptor Pursuit Game*

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Cybernetics and Systems Analysis Aims and scope

Abstract

A differential pursuit game in a descriptor system is analyzed. The evolution of the system is described by an algebraic linear differential equation. Solutions of the equation are presented by the formula of variation of constants in terms of the initial data and control unit. The technique of set-valued mappings and their selectors, as well as constraints on the functionals defined by the behaviors of the pursuer and evader are used. The paper contains examples to illustrate a differential game in radio engineering systems. In particular, conflict-controlled transients in four-pole filters are analyzed.

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Authors and Affiliations

  1. Kharkiv National University of Radio Electronics, Kharkiv, Ukraine

    L. A. Vlasenko, A. G. Rutkas & V. V. Semenets

  2. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    A. O. Chikrii

Authors
  1. L. A. Vlasenko
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  2. A. G. Rutkas
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  3. V. V. Semenets
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  4. A. O. Chikrii
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Corresponding author

Correspondence to L. A. Vlasenko.

Additional information

*The study was partially financially supported by the National Research Foundation of Ukraine (Grant # 2020.02/0121).

Translated from Kibernetyka ta Systemnyi Analiz, No. 6, November–December, 2021, pp. 36–45.

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Vlasenko, L.A., Rutkas, A.G., Semenets, V.V. et al. On a Descriptor Pursuit Game*. Cybern Syst Anal 57, 874–882 (2021). https://doi.org/10.1007/s10559-021-00413-2

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  • DOI: https://doi.org/10.1007/s10559-021-00413-2

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