Abstract. The paper deals with the game problem of bringing the trajectory of a dynamic system to a given set under a failure of the control system on a time interval of known length but at the instant of time unknown a priori. Two approaches are proposed on the basis of the method of resolving functions, which make it possible to develop the sufficient conditions for the game termination in a certain guaranteed time starting from the given initial positions. Refs: 18 titles.
Keywords: conflict-controlled process, multi-valued mapping, Aumann integral, Pontryagin condition, Cauchy formula, Minkowski geometrical difference.
Чикрий Кирилл Аркадьевич, кандидат физ.-мат. наук, старший научный сотрудник Института кибернетики
им. В.М. Глушкова НАН Украины, Киев,
e-mail: chik@insyg.kiev.ua.