Geodesic
Damping problem for a neutral control system with delay
Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 490 (2020), pp. 81-84

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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.
Keywords: control system with delay, differential-difference equations, generalized solutions. 
@article{DANMA_2020_490_a18,
     author = {A. S. Adkhamova and A. L. Skubachevskii},
     title = {Damping problem for a neutral control system with delay},
     journal = {Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleni\^a},
     pages = {81--84},
     publisher = {mathdoc},
     volume = {490},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DANMA_2020_490_a18/}
}
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A. S. Adkhamova; A. L. Skubachevskii. Damping problem for a neutral control system with delay. Doklady Rossijskoj akademii nauk. Matematika, informatika, processy upravleniâ, Tome 490 (2020), pp. 81-84. http://geodesic.mathdoc.fr/item/DANMA_2020_490_a18/