O‘zbekiston matematika jurnali Ҷилди 69 № 4 (2025) · Саҳифаҳои 108-112
On the Non-Smooth Optimal Control Problem for a Parametrized Dynamic System under Conditions of Uncertainty
Haydarov, T.T.
Аннотатсия
In the paper, we consider a class dynamic control system with a discrete parameter and under conditions of uncertainty in the initial data. The optimal control problem of the minimax type is formulated for a non-smooth terminal functional using the principle of the best-guaranteed result. This problem is studied by methods of multivalued and convex analysis. For this non-smooth control problem the necessary and sufficient conditions for optimality are obtained.
control system, discrete parameter, terminal functional, minimax, non-smooth control problem, conditions for optimality
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