Research of one minimax model of control
The paper is devoted to research of one general minimax dynamical model of control. Minimax models are interested for the Game Theory and Operation Research Theory. Itself minimax in many problems is possible to interpret as the least guaranteed result for one player under any actions of the another player. In dynamical problems of Control, often the Nature acts as the second player. It is important that in such problems the behavior of the Nature is not known in the future. In the paper we consider the controlled object under of some disturbances, which can be interpreted as noise. We research some properties of the least guaranteed result for such objects. There were obtained some conditions under which the considered minimax exists and is continuous or local Lipschitzian as function of initial condition for the controlled system under consideration.