Abstract A linear control system described by a system of differential-difference equations of neutral type with several delays and variable matrix coefficients is considered. The relationship between the variational problem for a nonlocal functional describing the multidimensional control system with delays and the corresponding boundary value problem for the system of differential-difference equations is established. The existence and uniqueness of a generalized solution to this boundary value problem are proved.

中文翻译：

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具有延迟的中性控制系统的阻尼问题

摘要 考虑由具有多个时滞和可变矩阵系数的中性型微分方程组描述的线性控制系统。建立了描述具有时滞的多维控制系统的非局部泛函的变分问题与微分-差分方程组的相应边值问题之间的关系。证明了该边值问题的广义解的存在性和唯一性。