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Differential-Difference Games of Approach with Multiple Delays

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Cybernetics and Systems Analysis Aims and scope

Abstract

Differential-difference games of approach with multiple delays are considered. The schemes of the method of resolving functions and the first direct Pontryagin’s method are developed. Sufficient conditions for the game completion are developed. For the first time in these games, new Cauchy formulas convenient for numerical implementations are used for systems with commuting matrices and systems with pure delay.

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  1. Institute of Applied Systems Analysis of the National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Kyiv, Ukraine

    L. V. Baranovska

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Correspondence to L. V. Baranovska.

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Translated from Kibernetyka ta Systemnyi Analiz, No. 5, September–October, 2021, pp. 132–142.

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Baranovska, L.V. Differential-Difference Games of Approach with Multiple Delays. Cybern Syst Anal 57, 787–795 (2021). https://doi.org/10.1007/s10559-021-00403-4

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