ABOUT THE TIME OPTIMAL CONTROL PROBLEM FOR AN ENSEMBLE OF TRAJECTORIES OF DIFFERENTIAL INCLUSION WITH DELAY

01.09.2022 International Scientific Journal "Science and Innovation". Series A. Volume 1 Issue 5

S.Otakulov, F.Kholiyarova

Abstract. The paper considers the time optimal control problem for an ensemble of trajectories of one class of differential inclusions with delay. In this problem, necessary and sufficient optimality conditions are obtained. The application of these results to a linear time optimal control problem with a terminal set in the form of a moving half-space is shown. For this case, using the obtained optimality conditions the main stages of solving the problem is indicated.

Keywords: mathematical model, control system, differential inclusion, ensemble of trajectories, time optimal control problem, optimality conditions.