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UDC 519.837
L.V. Baranovska1


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

 lesia@baranovsky.org

DIFFERENTIAL-DIFFERENCE GAMES OF APPROACH WITH MULTIPLE DELAYS

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

Keywords: conflict-controlled process, differential games, differential-difference games, resolving function method, Pontryagin’s first direct method.


FULL TEXT

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