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Abstract
We consider the control problem for a linear functional differential system with time delay in a general form. The purpose of controlling is prescribed with the use of a finite set of linear functionals. The number of these functionals is independent of the dimension of the system. The system is subject to impulse disturbances which result in trajectory jumps with unknown previously time moments and values. To solve the control problem, we construct a control that contains both programand jumps-positional components. We establish solvability conditions for the stated control problem.
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