Non-smooth optimization control problem for model of dynamic system with delay under conditions of uncertainty

In the paper considers a mathematical model of dynamic control system with delay under conditions of uncertainty of external influence. For this model of a dynamic system, the optimization problem of a non-smooth terminal functional of the minimum type is studied. The necessary and sufficient conditions of optimality are obtained. It is shown that these results can form a theoretical basis for an al algorithm for constructing of optimal control.

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