LINEAR DIFFERENTIAL PURSUIT GAME WITH IMPULSE CONTROL AND LINEAR INTEGRAL CONSTRAINT OF CONTROLS OF PLAYERS

摘要

For a linear differential pursuit-evasion game, we propose sufficient termination conditions in the case where one of players applies impulse controls whereas the other applies controls with "linear constraints" of integral type. We indicate methods for finding controls of the pursuer that provide termination of the pursuit in a finite time. Finally, we give examples that illustrate the results obtained.