Abstract
A game-theoretical problem whose dynamics is described by a partial differential equation is considered. The players' controls, representing additiely the right-hand side of the equation, are subject to integral constraints. The goal of the pursing player, who possesses information on the instantaneous value of the evader's control, is to bring the system to an undisturbed state. To solve the problem, the method of system decomposition developed in [1] for a controlled system is used. The optimal pursuit time is found and the players' optimal controls are constructed in explicit form.
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