On a Control Problem with Incomplete Information

Control problems with incomplete information are of great interest for modern control theory, as they more adequately describe real processes occurring, for example, in technology and economics. In this work, we consider a linear controllable object, subject to influences of bounded additive disturbances. The aim of the subject, who controls the system, is to guarantee a finite-time transfer of a bundle of trajectories to a given terminal set which has the form of a half-space in the phase space of the conflict-controlled object. We obtain constructive sufficient conditions for solving the posed control problem. We also consider an example