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Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics pp 475–488Cite as

Group Pursuit Differential Games with Pure Time-Lag

Part of the Understanding Complex Systems book series (UCS)

Abstract

The paper is devoted to the group pursuit differential-difference game with pure time-lag. An approach to the solution of this problem based on the method of resolving functions is proposed. For the group problem, the integral presentation of game solution based on the time-delay exponential is proposed at the first time. The guaranteed time of the game termination is found, and corresponding control law is constructed. The results are illustrated by a model example. In such game of two persons, it is possible to avoid meeting with the terminal set with any control of the pursuer. It is shown that if the pursuers are several then the pursuit game can be completed.

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Acknowledgements

The author is grateful to Academician Zgurovsky M.Z. for the possibility of the publication and to professor Kasyanov P.O. for assistance in publication this article.

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Authors and Affiliations

  1. Institute for Applied System Analysis, National Technical University of Ukraine “Kyiv Polytechnic Institute”, 37 Peremogy Ave., building 35, Kyiv, 03056, Ukraine

    Lesia V. Baranovska

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  1. Lesia V. Baranovska
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Correspondence to Lesia V. Baranovska .

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Editors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    Prof. Victor A. Sadovnichiy

  2. National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine

    Michael Z. Zgurovsky

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Baranovska, L.V. (2021). Group Pursuit Differential Games with Pure Time-Lag. In: Sadovnichiy, V.A., Zgurovsky, M.Z. (eds) Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-50302-4_23

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