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On Time Extension in Differential Games with Impulse Controls

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Abstract

In the development of ideas of B. N. Pshenichnyi, the paper considers a linear differential game of approach with impulse controls. A research technique is proposed, which is based on time extension and oriented to the case where the classical Pontryagin condition does not hold. Sufficient conditions for the finiteness of the guaranteed approach time are obtained. An illustrative example is given.

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Authors and Affiliations

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

    G. Ts. Chikrii

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  1. G. Ts. Chikrii
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Correspondence to G. Ts. Chikrii.

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Translated from Kibernetika i Sistemnyi Analiz, No. 5, September–October, 2017, pp. 58–66.

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Chikrii, G.T. On Time Extension in Differential Games with Impulse Controls. Cybern Syst Anal 53, 704–711 (2017). https://doi.org/10.1007/s10559-017-9972-0

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  • DOI: https://doi.org/10.1007/s10559-017-9972-0

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