Abstract:
In this paper, we study the game problems of controlling bundles of trajectories described by a system of equations with a retarded argument under integral restrictions on the players' controls. Modifications of the first and third pursuit methods are proposed for game problems of controlling trajectory bundles. For this game, sufficient conditions are obtained for the possibility of transferring a pencil of trajectories.
Keywords:control, game problem, pursuer, evader, integral constraints, initial and terminal set, trajectory bundle.