Scientific seminar “On a damping problem for non-stationary control system with delay neutral type”

22 March at 12:00 MSK

On a damping problem for non-stationary control system with delay neutral type.

We consider the damping problem for control system with delay described by a system of neutral differential-difference equations with smooth matrix coefficients and several delays. We show the relationship between the variational problem for nonlocal functionals describing a multidimensional control system with delays and the corresponding boundary value problem for systems of differential-difference equations. We prove the existence and uniqueness of a generalized solution of the boundary value problem. We prove that smoothness of this solution may be violated on the interval and is preserved only on some subintervals.

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