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Ural Federal University, 19, Mira st., 620002, Ekaterinburg, Russia, giv001@mail.ru, kremlev001@mail.ruThecontrolproblemforthesingularlyperturbedsystemwithdelaywithindeterminateinitialconditionsandgeometricconstraintsonthecontrolresourcesaccordingtotheminimaxcriterionisconsidered.Alimitingproblemisformulatedforwhichaspeciallyselectedquality functional is chosen. We propose the procedure for initial approximation construction of a control response in the controlminimax problem.Key words: singularly perturbed system with delay, optimal control, fundamental matrix.

Approximation of Control for Singularly Perturbed System with Delay with Geometric Constraints