On Some Control Problems

This article deals with some aspects of typical control problems for dynamical systems, whose evolution is described by differential equations, first by ordinary differential equations and then by equations with time lag. Open and closed loop problems are considered. We are mostly interested in closed loop problems under lack of information on dynamical and informational disturbances. We discuss such notions as an adequate informational image, which determines the character of a strategy; types of strategies: pure and mixed strategies; procedures for the observation and estimation of the current phase state on the basis of the available informational image.