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Complete Solution of a Class of Differential Pursuit Games with Integral Constraint and Impulse Control

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Abstract

This article considers a class of differential games for which the problem of whether it is possible or impossible for the pursuer to catch the evader from a given initial point is finally solved using the method of resolving functions. An integral constraint is imposed on the controls of the pursuer, while the control of the evader is of impulse nature and is represented using a generalized Dirac function.

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Funding

This work was supported by Uzbek Foundation for Basic Research (no. OT-F4-33).

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Authors and Affiliations

  1. National University of Uzbekistan named after M. Ulugbek, Vuzgorodok, 100174, Tashkent, Republic of Uzbekistan

    N. A. Mamadaliev & B. Kh. Khayitkulov

  2. Romanovsky Institute of Mathematics, Academy of Sciences of the Republic of Uzbekistan, 100170, Tashkent, Republic of Uzbekistan

    N. A. Mamadaliev

Authors
  1. N. A. Mamadaliev
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  2. B. Kh. Khayitkulov
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Correspondence to N. A. Mamadaliev or B. Kh. Khayitkulov.

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Translated by M. Talacheva

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Mamadaliev, N.A., Khayitkulov, B.K. Complete Solution of a Class of Differential Pursuit Games with Integral Constraint and Impulse Control. Russ Math. 66, 22–29 (2022). https://doi.org/10.3103/S1066369X22030069

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  • DOI: https://doi.org/10.3103/S1066369X22030069

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