Abstract
The linear differential game of approaching given terminal set by a trajectory of the conflict controlled process is treated here. The process evolves in such a way that at some a priori unknown instant of time the control of the first player is shut off for a certain period of time, which is necessary for the elimination of the breakdown and which duration is known in advance. Then the process lasts up to the moment when its trajectory hits the terminal set. On the basis of technique, leaning upon the resolving function's construction, developed by the author, the sufficient conditions of two kinds for solvability of the approach problem are derived in the paper. The results are illustrated by the model example of the game problem with “simple motions” dynamics.
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