Open AccessOn One Damping Problem for a Nonstationary Control System with Aftereffect
Author(s) -
А. Ш. Адхамова,
А. Ш. Адхамова,
А. Л. Скубачевский,
А. Л. Скубачевский
Publication year - 2019
Publication title -
sovremennaâ matematika. fundamentalʹnye napravleniâ
Language(s) - English
Resource type - Journals
eISSN - 2949-0618
pISSN - 2413-3639
DOI - 10.22363/2413-3639-2019-65-4-547-556
Subject(s) - uniqueness , mathematics , boundary value problem , mathematical analysis , variable (mathematics) , differential equation , matrix (chemical analysis) , differential (mechanical device) , control (management) , boundary (topology) , computer science , physics , materials science , artificial intelligence , composite material , thermodynamics
We consider a control system described by the system of differential-difference equations of neutral type with variable matrix coefficients and several delays. We establish the relation between the variational problem for the nonlocal functional describing the multidimensional control system with delays and the corresponding boundary-value problem for the system of differential-difference equations. We prove the existence and uniqueness of the generalized solution of this boundary-value problem.