ABOUT THE MODEL OF THE CONTROL SYSTEM IN CONDITIONS OF INACCURATE INFORMATION AND ITS APPLICATION TO ONE ECONOMIC PROBLEM

The paper considers a mathematical model of a control system under conditions of inaccurate information about the initial data and the parameter of external influences. The model is presented as a controlled differential inclusion with a parameter. A problem of optimal control with a non-smooth terminal functional is studied. Necessary and sufficient optimality conditions are obtained. A general scheme - an algorithm for using these optimality conditions - is given. The application of the obtained results to the economic problem of the optimal distribution of investments is shown.