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DIFFERENTIAL GAMES WITH UNCERTAIN TERMINAL TIME

Abstract Linear Quadratic Differential games have been used to model economic and other conflict situations. A salient feature of these analyses was that the interval of play was fixed (possibly inifinite), and known to both players. This paper introduces a linear quadratic differential game where only the probability density of the terminal time is known to the two players. The paper's results are used to derive a differential game based guidance law for uncertain time of intercept.