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

Otakulov Salim; Sobirova Gulandom Davronovna

doi:10.5281/zenodo.7575089

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

27.01.2023 International Scientific Journal "Science and Innovation". Series A. Volume 2 Issue 1

Otakulov Salim, Sobirova Gulandom Davronovna

Abstract. 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.

Keywords: mathematical model, control system, information inaccuracy, optimal control, non-smooth functional, optimality conditions, optimal distribution of investments

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