Abstract
The method of resolving functions is investigated as applied to game problems of control with integral constraints. A scheme of the method is proposed that ensures the end of a game within a definite guaranteed time in the class of stroboscopic strategies. The results of comparison of the guaranteed times of this scheme of the resolving-functions method with those of the first direct Pontryagin method for integral constraints are shown.
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Translated from Kibernetika i Sistemnyi Analiz, No. 5, September–October, 2018, pp. 109–127.
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Rappoport, J.S. Resolving-Functions Method for Game Problems of Control with Integral Constraints. Cybern Syst Anal 54, 779–795 (2018). https://doi.org/10.1007/s10559-018-0080-6
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DOI: https://doi.org/10.1007/s10559-018-0080-6