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Conflict controlled processes with discontinuous trajectories

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Cybernetics and Systems Analysis Aims and scope

Abstract

Linear differential games with pulse control of players, which is represented by the Dirac delta-function, are analyzed. For this class of games, the sufficient conditions for the solvability of the approach problem are derived. The problems are analyzed based on the method of resolving functions. The result is exemplified by a pursuit game with a simple motion.

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Authors and Affiliations

  1. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    A. A. Chikrii, I. I. Matichin & K. A. Chikrii

Authors
  1. A. A. Chikrii
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  2. I. I. Matichin
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  3. K. A. Chikrii
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Additional information

The study was sponsored by the State Fund for Fundamental Research (DFFD), Grant No. F7306-2001, Project 01.07013, and by the Scientific and Technical Center of Ukraine (NTTsU).

Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 15–29, November–December 2004.

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Chikrii, A.A., Matichin, I.I. & Chikrii, K.A. Conflict controlled processes with discontinuous trajectories. Cybern Syst Anal 40, 800–811 (2004). https://doi.org/10.1007/s10559-005-0020-0

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  • DOI: https://doi.org/10.1007/s10559-005-0020-0

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